Math Computation Skills & Strategies Level 4 (Math Computation Skills & Strategies)

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Saddleback Math Covers

10/22/06

6:24 PM

Page 2

MATH COMPUTATION SKILLS & STRATEGIES Every book in the Math Computation Skills and Strategies series contains over 100 reproducible pages.These highinterest activities combine computation practice with strategy instruction. Featuring a Scope and Sequence chart, the books allow educators to supplement their math lessons with the extra math practice all students need. In addition, periodic reviews allow for reinforcement and assessment of skills.

H I G H - I N T E R E S T M AT H C O M P U TAT I O N S K I L L S & S T R AT E G I E S

HIGH-INTEREST

• LEVEL 4

The books are grade specific, but they were created with students of all ages in mind. Each book features ready-to-use pages with instructional tips at the beginning of each lesson. Math Computation Skills and Strategies reproducible books are the perfect choice for educators.

HIGH-INTEREST

MATH COMPUTATION SKILLS & STRATEGIES Operations Fractions and Decimals Whole Numbers Perimeter and Area Regrouping

Three Watson • Irvine, CA 92618-2767 • 888-SDL-BACK • www.sdlback.com

S A D D L E B A C K E D U C AT I O N A L P U B L I S H I N G

Saddleback E-Book

Solving Word Problems Money Measurement

LEVEL

4

100 plus+ REPRODUCIBLE ACTIVITIES

MATH COMPUTATION SKILLS & STRATEGIES

LEVEL

4

ISBN 1-56254-967-7 Copyright © 2006 by Saddleback Educational Publishing. All rights reserved. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system without written permission of the publisher, with the following exception. Pages labeled Saddleback Educational Publishing ©2006 are intended for reproduction. Saddleback Educational Publishing grants to individual purchasers of this book the right to make sufficient copies of reproducible pages for use by all students of a single teacher.This permission is limited to an individual teacher and does not apply to entire schools or school systems. Printed in the United States of America

Table of Contents Page

Lesson

5 . . . . . . . . . Introduction Unit 1 . . . . Numbers and Number Sense 6 . . . . . . . . . Write Whole Numbers 7 . . . . . . . . . Place Value in Whole Numbers 8 . . . . . . . . . Write Decimals 9 . . . . . . . . . Place Value in Decimals 10 . . . . . . . . Place Value 11 . . . . . . . . Compare Numbers 12 . . . . . . . . Compare Numbers 13 . . . . . . . . Round to 10s and 100s 14 . . . . . . . . Round to 1,000s, 10,000s, and 100,000s 15 . . . . . . . . Round Decimals 16 . . . . . . . . Write Fractions 17 . . . . . . . . Write Fractions 18 . . . . . . . . Write Mixed Numbers 19 . . . . . . . . Compare and Order Fractions 20 . . . . . . . . Convert Decimals and Fractions 21 . . . . . . . . Compare Decimals and Fractions 22 . . . . . . . . Understand Integers 23 . . . . . . . . Compare and Order Integers 24 . . . . . . . . Review Number Sense 25 Review Number Sense Unit 2 Addition and Subtraction 26 . . . . . . . . Use Properties of Addition 27 . . . . . . . . Add Fast Facts 28 . . . . . . . . Practice Addition 29 . . . . . . . . Practice Addition 30 . . . . . . . . Add Up to 2 Digits 31 . . . . . . . . Add Up to 3 Digits 32 . . . . . . . . Add Up to 4 Digits 33 . . . . . . . . Add Up to 5 Digits 34 . . . . . . . . Add Up to 6 Digits 35 . . . . . . . . Add Up to 7 Digits 36 . . . . . . . . Practice Addition 37 . . . . . . . . Practice Addition 38 . . . . . . . . Subtract Fast Facts 39 . . . . . . . . Practice Subtraction 40 . . . . . . . . Practice Subtraction 41 . . . . . . . . Recognize Fact Families 42 . . . . . . . . Check Addition and Subtraction 43 . . . . . . . . Subtract Up to 2 Digits 44 . . . . . . . . Subtract Up to 3 Digits 45 . . . . . . . . Subtract Up to 4 Digits 46 . . . . . . . . Subtract Up to 5 Digits 47 . . . . . . . . Subtract Up to 6 Digits 48 . . . . . . . . Subtract Up to 7 Digits 49 . . . . . . . . Practice Subtraction

50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65

. . . . . . . . Practice Subtraction . . . . . . . . Solve Word Problems . . . . . . . . Solve Word Problems . . . . . . . . Solve Word Problems . . . . . . . . Review Addition and Subtraction . . . . . . . . Review Addition and Subtraction . . . . . . . . Find Equivalent Fractions . . . . . . . . Reduce Fractions . . . . . . . . Add Fractions . . . . . . . . Add Fractions and Mixed Numbers . . . . . . . . Subtract Fractions . . . . . . . . Subtract Fractions and Mixed Numbers . . . . . . . . Solve Word Problems . . . . . . . . Solve Word Problems . . . . . . . . Review Fractions . . . . . . . . Review Fractions

Unit 3 . . . . 66 . . . . . . . . 67 . . . . . . . . 68 . . . . . . . . 69 . . . . . . . . 70 . . . . . . . . 71 . . . . . . . . 72 . . . . . . . . 73 . . . . . . . . 74 . . . . . . . . 75 . . . . . . . . 76 . . . . . . . . 77 . . . . . . . . 78 . . . . . . . . 79 . . . . . . . . 80 . . . . . . . . 81 . . . . . . . . 82 . . . . . . . . 83 . . . . . . . . 84 . . . . . . . . 85 . . . . . . . . 86 . . . . . . . . 87 . . . . . . . . 88 . . . . . . . . 89 . . . . . . . . 90 . . . . . . . . 91 . . . . . . . . 92 . . . . . . . . 93 . . . . . . . . 94 . . . . . . . .

Multiplication and Division Use Properties of Multiplication Multiply Fast Facts Practice Multiplication Practice Multiplication Multiply 2 Digits by 1 Digit Multiply 3 Digits by 1 Digit Multiply 4 Digits by 1 Digit Practice Multiplication Multiply 2 Digits by 2 Digits Multiply 2 Digits by 2 Digits Multiply 3 Digits by 2 Digits Multiply 3 Digits by 2 Digits Practice Multiplication Practice Multiplication Divide Fast Facts Practice Division Practice Division Learn Fact Families Check Multiplication and Division Divide 2 Digits by 1 Digit Divide 3 Digits by 1 Digit Divide 4 Digits by 1 Digit Practice Division Practice Division Solve Word Problems Solve Word Problems Solve Word Problems Review Multiplication and Division Review Multiplication and Division

Table of Contents Unit 4 . . . . Operations with Decimals 95 . . . . . . . . Add Decimals 96 . . . . . . . . Subtract Decimals 97 . . . . . . . . Multiply Decimals 98 . . . . . . . . Divide Decimals 99 . . . . . . . . Solve Word Problems 100 . . . . . . . Solve Word Problems 101 . . . . . . . Review Decimals 102 . . . . . . . Review Decimals Unit 5 . . . . Equations 103 . . . . . . . Write Number Sentences 104 . . . . . . . Write Equations 105 . . . . . . . Solve Equations 106 . . . . . . . Solve Equations 107 . . . . . . . Describe Patterns 108 . . . . . . . Complete Patterns 109 . . . . . . . Solve Word Problems 110 . . . . . . . Solve Word Problems 111 . . . . . . . Review Equations Unit 6 Measurement 112 . . . . . . . Use Customary Weight Units 113 . . . . . . . Use Metric Weight Units 114 . . . . . . . Convert Weights 115 . . . . . . . Add and Convert Weights 116 . . . . . . . Calculate Time Intervals 117 . . . . . . . Convert Time 118 . . . . . . . Add and Convert Time 119 . . . . . . . Use Customary Lengths 120 . . . . . . . Estimate Customary Lengths 121 . . . . . . . Convert Lengths 122 . . . . . . . Add and Convert Lengths 123 . . . . . . . Use Metric Lengths 124 . . . . . . . Estimate Metric Lengths 125 . . . . . . . Convert Lenghts 126 . . . . . . . Add and Convert Lenghts 127 . . . . . . . Understand Perimeter 128 . . . . . . . Find Perimeters 129 . . . . . . . Understand Area 130 . . . . . . . Find Areas 131 . . . . . . . Understand Volume 132 . . . . . . . Find Volume

133 134 135 136

....... ....... ....... .......

Solve Word Problems Solve Word Problems Review Measurements Review Measurements

137 138 139 140 141 142 143 144

. . . . . . . Scope and Sequence . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key . . . . . . . Answer Key

About This Series This series was created by Saddleback Educational Publishing to provide extensive math practice as a supplement to in-class instruction. Math Computation Skills and Strategies can easily be integrated into math curricula to reinforce basic skills.The lessons focus on practice, with up to 70 items a page. In addition, the lessons are designed to challenge students as their skills grow stronger. As the students progress through the individual lessons, the degree of difficulty increases. Closely adhering to state standards, this series provides grade-level appropriate lessons that are approachable for students at a range of abilities. Review lessons are interspersed throughout the book to allow students to reinforce their skills. Furthermore, the Scope and Sequence chart at the back of the book will help you choose lessons that are applicable to your curriculum.This series covers a range of topics, allowing students to build skills in multiple areas. Additionally, the lessons provide a variety of approaches, including word problems that emulate real-life situations. Each book is designed to challenge students who are learning skills at the corresponding grade level. However, the lessons were created not just for younger children, but for students of all ages. Saddleback Educational Publishing believes in allowing students to strengthen their skills with fun and exciting practice lessons.We hope you enjoy using this series to supplement class instruction and help students gain skills for proficiency in math computation.

Write Whole Numbers Numbers can be written in more ways than one.

ones

tens

hundreds

thousands

ten thousands

hundred thousands

millions

Place Value Chart

106 105 104 103 102 101 100 7, 6 5 4, 3 2 1 Standard form: 7,654,321 Expanded form: 7,000,000 + 600,000 + 50,000 + 4,000 + 300 + 20 + 1 Word form: 7 million, 654 thousand, 321 Directions: Write each number in standard form. 1. 6, 000, 000 + 300, 000 + 6, 000 + 200 + 50 + 9 _______ 2. 200, 000 + 90, 000 + 4, 000 + 700 + 3 3. 9, 000, 000 + 40, 000 + 800 + 20 + 4 4. 3, 000, 000 + 500, 000 + 20, 000 + 6, 000 + 900 + 20 Directions: Write each number in expanded form. 5. 229, 706 6. 6, 431, 076 7. 4, 003, 258 8. 789, 347 Directions: Write each number in word form. 9. 229, 706 10. 6, 431, 076 11. 4, 003, 258 12. 789, 347 Name Math Computation Skills and Strategies, Level 4 Saddleback Educational Publishing ©2006

Date 6

3 Watson, Irvine, CA 92618 Phone (888) SDL-BACK www.sdlback.com

Place Value in Whole Numbers The value of a digit in a whole number depends on its place value.

Directions: Write the value of the underlined digit on the line below the number. a

c

b

1.

756,042

6,872,151

43,056

2.

3,416,003

73,765

540,683

3.

1,224,401

8,153,480

7,495

4.

304,210

54,219

9,364,643

5.

5,426,035

405,436

2,033,942

6.

89,564

1,430,764

499,591

7.

2,498,037

511,006

65,438

8.

601,394

4,780,430

749,210

9.

9,949,108

372,116

29,543

870,427

5,249

56,078

10.

Name Math Computation Skills and Strategies, Level 4 Saddleback Educational Publishing ©2006

Date 7


Write Decimals

on es te nt hu hs nd re dt hs

Digits to the right of a decimal point tell about an amount smaller than one.

1

+ 25/100

1 .2 5

Standard form: 1.25 Expanded form: 1 + 0.2 + 0.05 Word form: 1 and 25 hundredths Directions: Write the number in standard form. 1. 2 + 0.3 + 0.01 _____ 2. 9 + 0.4 _____ 3. 7 + 0.07 4. 6 + 0.9 + 0.03 Directions: Write each number in expanded form. 5. 0.42 6. 5.46 7. 2.07 8. 8.4 Directions: Write each number in word form. 9. 3.56 10. 7.24 11. 9.05 Name Math Computation Skills and Strategies, Level 4 Saddleback Educational Publishing ©2006

Date 8


Place Value in Decimals

2

. 5

hundredths

tenths

ones

The first place to the right of the decimal point is the tenths place.The next one to the right is the hundredths place.

3

2+ 5 + 3 10 100 2 + 0.5 + 0.03 two and fifty three hundredths

Directions: Write the value of the underlined digit in fraction, decimal, and word form. Decimal

Fraction

1.

5.36

2.

0. 44

3.

1.58

4.

7. 43

5.

2.09

6.

5.46

7.

8. 55

8.

0.14

9.

6. 93

10.

3.04

6 100 4 10

0.06 4 tenths


Word

Date 9


Place Value Each digit in a number has a value that depends on the value of its place. Directions: Answer the questions about the number. 2,581,730.46 1. What value does the 6 represent? 2. How many millions are there? 3. What value does the 8 represent? 4. How many tens are there? 50,264.12 5. What number is in the ten thousands place? 6. How many hundredths are there? 7. What value does the 6 represent? 8. How many thousands are there? Directions: Write the decimal in fraction form.Then shade the correct amount. 9.

1.05

10.

3.1

11.

2.5

12.

1.45


Date 10


Compare Numbers Remember these symbols: > means “is greater than,” < means “is less than,” = means “is equal to.” Directions: Write , or = to complete each. a

1.

5, 304

2.

eight hundred thousand

3.

6, 728

4.

four hundred thousand

5.

941, 211

6.

b

20, 000 + 400 + 9

5,5314 , 314 1,000 + 800

6,278

9, 856

109, 403

9, 000, 340 1, 005, 000

one million five 8, 000, 000 + 60 + 5

8, 000, 650

9, 412,110

two hundred ninety

290, 000

75, 400

700, 000 + 5, 000 + 400

80, 000 + 70

7.

204, 055

189, 900

203, 000

8.

thirty-eight thousand

400, 000

30, 000 + 800

4, 346, 000

9, 000 + 80 200, 000 + 3, 000 4, 000, 000 + 900

Directions: Write a number to answer the question. 9. What is 1,000 greater than 75,464? 10. What is 400 greater than 3,056? 11. What is 2,000 less than 54,807? 12. What is 6,000,000 greater than 23,900? 13. What is 70 less than 12,884? 14. What is 30,000 greater than 133,472?


Date 11


Compare Numbers If you understand what numbers mean you can compare them.

Directions: Write the numbers in order from least to greatest. a

b

1. 504; 5,004; 4,054

1.30; 1.03; 3.01

2. 0.04; 4.0; 0.4

2.5; 2.55; 2.05

3. 9.8; 0.89; 8.9

3.7; 0.37; 37

4. 95; 105; 1,000

40,000; 44,000; 4,000

5. 6.7; 7.6; 6.77

390; 410; 99

6. 8.57; 6.75; 7.68

73,000; 730,000; 70,333

7. 1,020; 2,010; 1,200

4.93; 4.09; 4.9

Directions: List the digits that you can put in the box to make the number sentence true. 8. 5

> 55

9. 4.03 9,850

11. 6.94 < 6.

4

12. 274 < 27 13. 80,462 > 80,4 14. 7.8

2

> 7.8


Date 12


Round to 10s and 100s

thousands

hundreds

tens

ones

When rounding to the nearest ten, look at the digit in the ones place.When rounding to the nearest hundred, look at the digit in the tens place.

7,

5

3

8

If the digit is 5 or greater, round up. If the digit is 4 or less, round down. 7,538 to the nearest hundred is 7,500. 7,538 to the nearest ten is 7,540.

Directions: Round to the nearest ten. a

c

b

1.

843

1,231

76

2.

2,407

435

4,692

3.

55

3,121

902

4.

8,419

95

76,825

5.

32

896

12,489

Directions: Round to the nearest hundred. a

c

b

6.

5,483

14,530

47,209

7.

872

1,060

56,725

8.

20,749

597

156,936

9.

488

11,290

7,406

10.

251

9,847

19,798


Date 13


Round to 1,000s, 10,000s, and 100,000s Remember, when rounding, look at the place to the right. If the digit is 5 or greater, round up. If the digit is 4 or less, round down.

Directions: Round each number to the nearest thousand, ten-thousand, and hundred-thousand. Nearest Thousand

1.

127,604

2.

4,538,473

3.

644,930

4.

207,355

5.

4,973,640

6.

552,901

7.

8,311,076

8.

195,267

Nearest Ten-Thousand

Nearest Hundred-Thousand

Directions: Write the least and greatest number that rounds to each. Least

9.

2,000

10.

40,000

11.

600,000

12.

800

Greatest


Date 14


Round Decimals Round a decimal the same way you round a whole number.

Directions: Round each to the nearest tenth and the nearest whole number. Nearest Tenth

1.

2.16

2.

1.45

3.

3.32

4.

6.53

5.

7.31

6.

5.55

7.

8.26

8.

2.83

9.

4.97

10.

9.21

11.

5.72

12.

9.47

13.

4.13

14.

9.63


Nearest Whole Number

Date 15


Write Fractions A fraction can stand for parts of a whole, or parts of a set, or one number divided by another.

3 4

=

Directions: Write a fraction for each. a

c

b

1.

3÷5

2. 9 ÷ 11

3. 4÷9

Directions: Shade the drawing to show the fraction. a

b

c

4.

7 10

5 8

2 9

5.

4 5

7 12

4 11


Date 16


Write Fractions Equivalent fractions are different names for the same thing. Directions: Write equivalent fractions. a

b

c

=

=

1. = 2 1 = = 4

1

2 6

=

6 8

=

2. = 2 5

=

= 2 3

=

= 1 2

=

3. = 3 12

=

= 5 10

=

= 3 9

=

4. = 6 10

=

= 4 6

=

= 2 8

=

5. = 1 2

=

= 1 5

=


= 8 12

=

Date 17


Write Mixed Numbers Both improper fractions and mixed numbers have a value greater than 1.

A mixed number is written as a whole number and a fraction. 3 14

In an improper fraction, the numerator is greater than the denominator. 7 4

Directions: Write an improper fraction and a mixed number. a

c

b

1.

2.

3.

Directions: Write each improper fraction as a mixed number. a

c

b

4.

5 = 3

8 = 5

10 = 9

5.

11 = 6

13 = 10

15 = 8


Date 18


Compare and Order Fractions To compare fractions with like denominators, look at the numerators.

1 2 < 3 3

1 1 = 4 4

3 2 1 >1 5 5

Directions: Write , or = to complete the number sentence. a

1.

1 8

3 8

3 8

4 7

2.

4 5

3 5

3 5

1

3.

3 8

5 8

5 8

2

4.

3

2 9

3

1 9

c

b

3

1 9

2 7

8 9

2 7

2

1 6

8 9

4

2 3

3 4

6 7

4 12

4

1

2 4

2

11 12

2

5 6

2

5 6

4

1 3 6 7

3 8

3 8

5

Directions: Think about whether the fraction is greater than, less than, or equal to 1/2.Then write , or = to complete the number sentence. a

5. 6. 7.

4 8

1 2

c

b

1 2

1 6

1 2

1 2

1

2 5

1 2

1

1 2

1

3

3 5

3

1 2

3

1 2

1 4

1 2

3

3 10

3

2

3 6

2

1 2

2

1 2

3 7

1 2

1

7 8

1

1 2 1 2

Directions: Write the fractions in order from least to greatest. a

b

8.

1 1 3 ; ; _____ 4 2 4

3 1 1 ; ; 8 2 8

9.

2 4 1 ; ; _____ 5 5 2

1 1 2 ; ; 5 2 5


Date 19


Convert Decimals and Fractions It’s easy to change decimals to fractions.

5 1 = 10 2

= five tenths = 0.5 =

Directions: Write the word form, decimal form, and fraction form. 1.

= four tenths =

= ==

2 2 = 5 5

2. =

= 0.6 =

=

3. = seventy - five hundredths = 0.75 = 4.

=

=

=

=

=

1 5

=

=

=

=

1 4

3 4

5.

6. = eight tenths =

=

=

7. = fifty hundredths =

=

50 5 = = 100 10

8. =

=


=

30 = 100 Date

20


Compare Decimals and Fractions A number line can be used to show fractions, decimals, and whole numbers.

.25

0

.5

.75

1

1.25 1.5 1.75

2

2.25 2.5 2.75

3

Directions: Complete the number sentence using , or =. a

1.

2.

3.

4.

5.

6.

7.

8.

1 4

c

b

3 4

3 4

0.75 1.25

1.25

2.5

1 4

0.20

0.25

3 4

3.0

1.25 1.75

1.75

1

0.5

2.75

3

1 2

1.25

3 4

2.25

1 4

0.75

1 2

0.9

0.75

2.0

0.25

1.75

2

1 4

1.25

1 4

2.25

2

1 2

2

2

2

2

1 2

1

1 2

1

1 2

1.75

1

3 4

0.55

0.5

2.5

3.0

0.75

0.5

1

2.5

2

1 2

2.0

1.5

1.5 1

1

0.25

1

2.5

2.5

3 4

2


1.75

1 2

Date 21


Understand Integers All the whole numbers greater than 0 are called positive integers. Each positive integer has a negative integer that is its opposite.

-5 -4 -3 -2 -1 0

1

2

3

4

5

Zero is an integer, but it is neither positive nor negative.

Directions: Write the integer represented by the letter. A

B

-30

C -20

D

E -10

F 0

a

G

H

I

10

20

30 c

b

1.

A

B

C

2.

D

E

F

3.

G

H

I

Directions: Write an integer to describe each situation. a

b

4.

lost 10 pounds

gained 10 pounds

5.

scored 2 points

scored 3 points

6.

spent $5

earned $5

7.

temperature dropped 8°

temperature rose 8°

8.

price rose $1

price didn’t change


Date 22


Compare and Order Integers If a number is to the right of another on a number line, it is greater.

–5 –4 –3 –2 –1 0

1

−1 > −5

2

3

4

5

−2 < 0

Directions: Complete each number sentence. Use < or >. a

b

c

1.

–5

–4

1

–1

2

0

2.

2

–5

0

–3

–3

–1

3.

–5

5

3

–4

3

4

4.

–1

–4

–2

2

–5

1

5.

0

–1

–5

–2

3

–3

Directions: Write the integers in order from least to greatest. a

b

6.

0; -3; 3

–4; 4; 3

7.

5. 5; -4; -1

–2; -5; -3

8.

–1; 3; 0

–4; 1; -2

9.

–5; 2; 1

–3; 0; -5

–2; -1; -3

–4; 5; 0

10.


Date 23


Review Number Sense It’s review time!

Directions: Rewrite the number in the right form. 1.

734,061 in expanded form

2.

8,030,530 in word form

3.

5.64 in expanded form

4.

7.52 in word form

Directions: Answer the questions about the number. 9,407,312.53 5.

How many millions are there?

6.

What value does the 7 represent?

7.

What number is in the hundredths place?

8.

What values do the 3s represent?

Directions: Compare the numbers. Use , or =. a

b

fifty thousand three 53,53 000 , 000

8.5

10.

7

700, 230

700, 000 + 200 + 30

11.

twenty - five hundredths

281, 400

two hundred and ninety

12.

5, 427

9.

6.99 25

5, 742

9.02

0.85

nine and two hundredths

Directions: Round. a

b

13.

8,473 to the nearest hundred

12,082 to the nearest ten

14.

135.03 to the nearest whole

254,317 to the nearest thousand

15.

85.07 to the nearest tenth

9,736,411 to the nearest ten thousand


Date 24


Review Number Sense More review.You’re almost there.

Directions: Write a fraction or decimal for each. a

b

c

1.

2. 6 ÷ 11

3.

4. =

=

=

2 1 = 4

=

=


Date 25


Use Properties of Addition These are the 3 basic properties of addition.

Identity Property: add zero to any number and you get the number you started with.

7+0=7

Commutative Property: switch the order of the numbers in an addition problem and you’ll get the same answer.

5 + 8 = 13 8 + 5 = 13

Associative Property: group different numbers in an addition problem, and you’ll get the same answer.

(3 + 9) + 4 = 12 + 4 = 16 3 + (9 + 4) = 3 + 13 = 16

Directions: Write a math problem for each property. 1.

7+8=8+7

2.

15 + 0 =

3.

(10 + 4) + 8 = (8 + 10) + 4 =

4.

0 + 537 =

5.

(6 + 3) + (5 + 7) = (5 + 6) + (7 + 3) =

6.

14 + 1 = 1 + 14 =

Directions: Solve each problem, then write which property you used. 7.

Identity Property

8.

Commutative Property

9.

Associative Property


Date 26


Add Fast Facts Build a strong base in addition with these fast facts. Directions: Add. Time yourself to see how quickly you can finish. a

b

c

d

e

f

1.

8+ 0 =

7+ 3 =

5 + 10 =

4+ 6 =

3+ 5 =

9+ 4 =

2.

8 + 10 =

5 +1=

2+ 2 =

10 + 0 =

4+ 8 =

3+ 8 =

3.

11+ 3 =

5+ 5 =

3+ 9 =

10 + 6 =

11+ 6 =

8+ 9 =

4.

7 +1=

10 + 4 =

0+ 0 =

8+ 5 =

7+ 6 =

10 + 2 =

5.

9+ 7 =

11+ 5 =

6+ 3 =

9 + 10 =

3+ 3 =

7+ 0 =

6.

3+ 4 =

10 + 10 =

1+ 9 =

5+ 4 =

7+ 2 =

9+ 6 =

7.

12 + 4 =

6+ 0 =

2+ 3 =

9+ 2 =

7+ 4 =

8 +1=

8.

2+ 6 =

9+ 5 =

10 + 3 =

11+ 4 =

9+ 0 =

6+ 6 =

9.

10 + 7 =

9+ 3 =

11+ 7 =

7+ 8 =

4+ 3 =

9+ 9 =

10.

8+ 3 =

10 + 1 =

6+ 5 =

6+ 9 =

2+ 5 =

6 + 10 =

11.

12 + 0 =

8+ 8 =

6+ 7 =

1+ 6 =

2 + 12 =

7+ 7 =

12.

5+ 7 =

9+ 8 =

10 + 8 =

4+ 4 =

6+ 8 =

12 + 3 =


Date 27


Practice Addition Now you can put those basic facts to work.

Remember to add one place value at a time. 17 + 2 19 Directions: Add. a

b

c

d

e

f

1.

13 + 4

21 + 3

11 + 6

15 + 2

17 + 2

12 + 4

2.

14 + 5

22 + 6

10 + 9

34 + 3

13 + 6

14 + 3

3.

10 + 5

16 + 2

25 + 4

12 + 5

41 + 3

11 + 7

4.

33 + 6

12 + 2

13 + 5

10 + 6

21 + 5

15 + 4

5.

10 + 8

35 + 3

14 + 2

15 + 3

11 + 4

13 + 2

6.

21 + 8

14 + 4

43 + 5

12 + 3

20 + 5

31 + 6

7.

12 + 6

13 + 3

11 + 5

36 + 2

10 + 7

51 + 3


Date 28


Practice Addition When you add, remember to regroup when necessary.

1 26 6 + 7 = 13 + 7 33 10 + 20 = 30 Directions: Add, regrouping when necessary. 6 + 7 = 13 10 + 20 = 30

a

b

c

d

e

f

1.

18 + 3

24 + 5

43 + 9

15 + 5

31 + 7

28 + 6

2.

63 + 9

27 + 4

42 + 5

19 + 6

24 + 8

33 + 5

3.

44 + 6

39 + 4

72 + 4

28 + 7

47 + 5

56 + 6

4.

35 + 8

23 + 4

59 + 6

48 + 8

37 + 3

65 + 9

5.

41 + 9

56 + 5

84 + 8

46 + 2

75 + 5

94 + 3

6.

72 + 5

29 + 3

68 + 8

47 + 6

52 + 8

85 + 9

7.

59 + 8

76 + 4

83 + 9

45 + 7

60 + 8

28 + 6


Date 29


Add Up to 2 Digits Now you can add 2-digit numbers together. This is how to regroup. 1 45 +19 64 10 + 40 + 10 = 60 5 + 9 = 14

10 + 40 + 10 = 60

Directions: Add. a

b

5 + 9 = 14

c

d

e

f

1.

34 +27

56 +16

24 +52

49 +36

67 +30

29 +42

2.

18 +35

43 +26

55 +37

62 +21

45 +38

16 +25

3.

73 +17

68 +31

45 +27

53 +19

26 +38

60 +15

4.

25 +55

32 +49

72 +26

44 +53

18 +63

61 +29

5.

41 +23

65 +28

35 +47

75 +14

27 +37

19 +58

6.

73 +45

17 +46

52 +64

80 +57

43 +39

67 +13

7.

28 +73

64 +47

53 +59

85 +48

75 +56

29 +19


Date 30


Add Up to 3 Digits As the numbers get bigger, make sure to regroup carefully. 11 437 +265 702

Sometimes you have to regroup more than once.

Directions: Add. a

b

c

d

e

f

1.

143 + 39

607 + 54

276 + 52

344 + 75

836 + 40

472 + 15

2.

325 +109

426 + 85

560 +238

621 + 94

768 + 73

196 + 87

3.

536 + 74

725 +138

433 +290

578 + 25

647 + 51

927 + 38

4.

351 +484

263 +245

856 +107

916 + 55

173 +418

370 +295

5.

925 + 83

459 +436

215 +518

327 + 96

415 +295

811 + 99

6.

285 + 76

433 +394

562 +289

734 +197

578 + 32

396 +147

7.

845 +173

728 +634

573 +591

266 +395

645 +287

156 +927


Date 31


Add Up to 4 Digits This all adds up to some impressive math! Directions: Add. a

b

c

d

e

1.

3, 502 + 76

4, 831 + 83

2, 053 + 29

6, 564 + 91

8, 730 + 84

2.

7, 732 + 58

3, 059 + 35

6, 487 + 94

5, 216 + 33

2, 708 + 93

3.

8, 435 + 142

3, 351 + 46

7, 091 + 325

6,164 + 396

4, 423 + 81

4.

2,146 + 55

8, 431 + 569

2, 649 + 133

7, 540 + 86

6,141 + 959

5.

3, 781 + 314

7, 605 + 398

8, 472 + 458

5, 413 + 289

9,144 + 753

6.

6, 470 + 845

2, 764 + 758

1, 705 + 649

3, 607 + 605

4,166 + 284

7.

1, 954 +2, 317

2, 485 +4, 306

1159 , + 263

4, 520 + 183

7, 641 + 1, 853

8.

4,115 +2, 891

7, 844 +1137 ,

6, 218 +1, 937

5, 413 +2, 874

4, 095 +3,146


Date 32


Add Up to 5 Digits The bigger the numbers get, the better you get. Directions: Add. a

b

c

d

e

1.

17 17,,3304 + 97

32,167 + 84

70, 563 + 74

59, 234 + 66

83, 954 + 87

2.

21, 563 + 805

40, 761 + 546

51193 , + 957

68, 472 + 549

34, 707 + 853

3.

65, 913 + 538

25, 462 + 816

40, 355 + 255

34,196 + 473

16, 354 + 728

4.

44,176 + 382

52, 813 + 1, 452

83, 446 + 3, 195

28,176 + 257

33, 451 + 769

5.

61, 503 + 9, 426

73, 458 + 4, 286

18, 462 + 3, 254

40, 557 + 3,144

52, 147 + 7, 910

6.

21, 195 + 7, 864

93, 428 + 2, 645

75, 743 + 8, 416

57, 115 + 3, 692

65, 403 + 2, 948

7.

81, 559 + 4, 649

17, 556 +21, 372

44, 693 + 8, 752

57, 216 +26, 473

21, 125 + 9, 497

8.

39, 524 +50, 396

64, 736 +24, 872

14, 598 +67, 206

75, 148 +21, 973

11, 598 +29, 478


Date 33


Add Up to 6 Digits Sum some more numbers! Directions: Add. a

b

c

d

e

1.

153, 072 + 74

905, 768 + 19

244, 633 + 78

499, 947 + 58

300, 975 + 89

2.

750, 655 + 194

846, 736 + 67

115, 429 + 815

641, 599 + 435

216, 473 + 59

3.

175, 248 + 654

879, 305 + 843

961, 450 + 857

342, 256 + 749

599, 467 + 611

4.

827, 050 + 5, 961

436,115 + 487

355, 384 + 359

274, 332 + 8, 548

560, 485 + 716

5.

195, 326 + 3, 785

219, 544 + 8, 610

450, 873 + 9, 432

994, 162 + 8, 364

647, 156 + 9, 445

6.

733, 215 + 8, 497

565, 930 + 28, 419

841, 592 + 36, 814

229, 503 + 80, 437

491, 226 + 8, 956

7.

277, 543 + 61, 523

408, 517 + 36, 138

646, 108 + 34, 509

760, 119 + 84, 376

957, 314 + 52, 847

8.

619, 428 +107, 314

754, 306 + 52, 675

261, 548 +473, 516

591, 806 +245, 314

211, 567 + 89, 164


Date 34


Add Up to 7 Digits Wow, now you’re adding millions of things. Directions: Add. a

b

c

d

e

1.

3, 453, 045 + 87

7, 321, 558 + 56

2, 037, 973 + 49

6, 542, 817 + 96

4, 915, 438 + 73

2.

1, 504, 951 + 863

2, 915, 836 + 294

6, 209, 457 + 763

7, 331, 597 + 462

9,106, 498 + 775

3.

6,145, 660 + 6, 727

5, 234, 196 + 8, 927

7, 445, 331 + 5, 837

1, 954, 037 + 9, 384

2, 219, 940 + 8, 463

4.

8,154, 533 + 8, 779

3, 941, 088 + 76, 463

5, 673, 211 + 96, 953

9, 542, 136 + 7, 946

6, 654, 108 + 3, 994

5.

7,163, 394 + 87, 356

8, 543, 661 + 70, 594

2, 691, 457 + 36, 593

6, 415, 563 + 57, 509

9, 255, 407 + 63, 728

6.

1, 755, 982 + 64, 657

2, 455, 736 + 416, 503

9, 938, 047 + 84, 376

8, 094, 614 + 376, 638

3, 846, 115 + 238, 505

7.

8, 543, 124 + 612, 976

1, 438, 616 + 861, 137

6, 730, 988 + 195, 433

2,155, 648 + 369, 524

5, 762,196 + 938,143

8.

2, 616, 574 + 394, 128

8, 584, 302 + 1, 241, 583

7, 033, 651 + 1, 290, 779

9, 415, 863 + 725, 314

5, 643, 007 +7, 619,125


Date 35


Practice Addition Strengthen your skills with some practice. Directions: Add. a

b

c

d

e

1.

85 +47

63 +29

76 +58

28 +52

95 +16

2.

783 + 94

72 +376

67 +885

605 + 95

436 + 28

3.

84 +1, 273

4, 293 + 27

8, 654 + 73

9, 605 + 83

63 +2, 467

4.

438 +273

954 +361

844 +109

564 +297

733 +499

5.

865 +273

629 +285

791 +436

345 +896

531 +709

6.

384 +2, 916

7, 953 + 218

4, 857 + 603

954 +1, 362

3, 356 + 884

7.

22,,767 767 +7,158

3, 046 +5, 873

6, 451 +8, 263

2, 458 +3, 664

9, 315 +4, 297

8.

4, 284 +3, 765

5, 611 +8, 094

7, 432 +8, 591

5, 536 +5, 821

6, 249 +7, 854


Date 36


Practice Addition A little more practice then we’re ready for subtraction.

Directions: Add. a

b

c

d

e

1.

29, 543 + 1, 762

84, 135 + 2, 907

3, 456 +71, 562

5, 433 +16, 295

31, 247 + 8, 587

2.

45, 915 +26, 450

73, 144 +10, 895

55, 648 +37, 196

19, 506 +48, 734

73, 422 + 81, 958

3.

369, 654 + 27, 355

704, 261 + 83, 952

22, 761 +584, 779

154, 598 + 62, 534

88,143 +426,138

4.

557, 345 +216, 839

605, 836 +197, 654

866, 415 +326, 287

240, 776 +539, 852

118, 245 +995, 370

5.

4,128, 591 + 64, 215

645, 914 + 683, 149

85, 617 +3, 915, 422

24, 394 +8,197, 328

265, 954 +873, 429

6.

7, 652, 403 + 59, 189

3, 045, 958 + 76, 138

35, 710 +8, 573, 298

9,154, 277 + 83, 943

67, 542 +4, 661, 843

7.

2,145, 673 + 981, 632

3, 674, 899 + 293, 517

6, 654, 207 + 391, 984

4, 607, 394 + 846, 093

775, 412 +8, 316, 289

8.

3, 559,124 + 1, 376,158

2, 151, 443 +6, 089, 256

8, 542, 155 +3, 054, 983

4, 652, 015 +4, 308, 947

9, 542, 136 +8, 019, 782


Date 37


Subtract Fast Facts Dive into subtraction with these fast facts.

Directions: Subtract.Time yourself to see how quickly you can finish. a

b

c

d

e

f

1.

9 −1=

7− 5 =

12 − 2 =

8− 4 =

10 − 8 =

13 − 4 =

2.

12 − 6 =

14 − 8 =

9− 7 =

10 − 6 =

12 − 10 =

14 − 2 =

3.

8− 7 =

10 − 2 =

15 − 8 =

9− 2 =

11− 7 =

14 − 9 =

4.

11− 2 =

9− 6 =

10 − 7 =

12 − 3 =

8− 3 =

19 − 3 =

5.

7− 3 =

11− 9 =

8− 8 =

7− 2 =

11− 3 =

10 − 9 =

6.

8 −1=

10 − 4 =

11− 6 =

14 − 10 =

13 − 7 =

9− 0 =

7.

7− 7 =

12 − 5 =

10 − 1 =

7− 6 =

15 − 6 =

15 − 4 =

8.

11− 5 =

9− 3 =

7− 4 =

12 − 7 =

18 − 7 =

9− 9 =

9.

13 – 5 =

7–1=

12 – 4 =

13 – 3 =

8–2=

14 – 7 =

10.

8–5=

12 – 9 =

9–5=

11 – 8 =

15 – 5 =

10 – 3 =

11.

11 – 10 =

8–9=

11 – 4 =

10 – 5 =

16 – 9 =

18 – 5 =


Date 38


Practice Subtraction Remember to subtract one place value at a time starting with the ones.

38 − 5 33

Directions: Subtract. a

b

c

d

e

f

1.

24 − 3

18 − 4

27 − 7

36 − 3

43 − 2

59 − 5

2.

15 − 5

39 − 2

46 − 4

17 − 6

28 − 5

44 − 2

3.

64 − 3

26 − 4

37 − 5

56 − 6

19 − 8

47 − 1

4.

77 − 2

83 − 3

65 − 4

18 − 3

36 − 4

43 − 2

5.

59 − 3

28 − 6

34 − 4

85 − 3

27 − 4

98 − 4

6.

86 − 3

72 − 2

39 − 7

97 − 2

56 − 6

14 − 3

7.

47 − 5

25 − 2

68 − 3

19 − 5

93 − 3

75 − 4


Date 39


Practice Subtraction Sometimes you’ll need to regroup in subtraction.

3 13

43 − 9 34 Directions: Subtract. a

b

c

d

e

f

1.

26 − 7

33 − 5

19 − 8

40 − 3

54 − 7

73 − 8

2.

82 − 4

46 − 9

23 − 8

65 − 3

37 − 8

15 − 7

3.

36 − 9

62 − 6

41 − 3

17 − 9

20 − 4

53 − 7

4.

42 − 5

93 − 7

26 − 6

74 − 8

34 − 5

83 − 9

5.

22 − 3

56 − 9

18 − 9

30 − 8

95 − 4

73 − 5

6.

81 − 7

32 − 6

44 − 8

15 − 9

27 − 8

83 − 6

7.

52 − 5

93 − 6

27 − 9

36 − 4

88 − 9

46 − 8


Date 40


Recognize Fact Families Understanding fact families will help you understand addition and subtraction.

Fact family: 30, 23, 7 Addition: Subtraction: 23 + 7 = 30 30 – 7 = 23 7 + 23 = 30 30 – 23 = 7 Directions: Write an addition sentence and a subtraction sentence using the fact families. a

b

c

1.

Fact family: 22, 12, 10 Addition: Subtraction:



2.




3.




4.

Fact family: 61, 48,13 Addition: Subtraction:



5.




6.





Date 41


Check Addition and Subtraction Use what you know about fact families to check addition and subtraction.

To check, use subtraction

1

To check, use addition

4 11

36 51 +15 ⇒ −15 51 36

3 13

1

43 29 −29 ⇒ +14 14 43

Directions: Add, then subtract to check your answer. a

b

c

d

e

1.

19 +17

23 +47

42 +15

54 +27

16 +38

2.

44 +29

53 +12

29 +67

45 +55

38 +46

3.

65 +19

13 +78

37 +35

29 +48

58 +36

Directions: Subtract, then add to check your answer. a

b

c

d

e

4.

65 −37

23 −19

82 −49

56 −17

32 −28

5.

41 −25

94 −69

58 −49

60 −35

73 −26

6.

82 −55

34 −18

76 −48

51 −27

40 −21


Date 42


Subtract Up to 2 Digits Remember, you can always use addition to check your answer. 113

53 −28 15 Directions: Subtract. a

b

c

d

e

f

1.

32 −18

46 −29

23 −15

60 −35

54 −27

71 −58

2.

25 −19

53 −36

31 −23

84 −67

40 −26

62 −54

3.

43 −18

91 −65

74 −58

52 −29

65 −38

80 −17

4.

27 −18

70 −44

43 −27

61 −46

85 −66

93 −55

5.

54 −37

64 −28

30 −19

93 −86

41 −23

75 −59

6.

82 −27

43 −16

28 −19

51 −38

34 −25

60 −41

7.

95 −38

61 −36

73 −46

32 −15

46 −27

86 −49


Date 43


Subtract Up to 3 Digits Use the example to remember how to regroup more than once. 15 3 5 13

463 −276 187 Directions: Subtract. a

b

c

d

e

f

1.

528 − 56

433 − 85

654 − 93

732 − 64

196 − 88

337 − 98

2.

944 − 86

325 − 78

154 − 67

641 −175

820 − 61

432 −296

3.

134 − 85

463 −294

811 − 63

627 −249

204 −183

322 − 73

4.

435 −297

728 −469

306 −278

942 −156

853 −475

580 −384

5.

273 −185

621 −396

513 −356

842 −433

724 −189

462 −375

6.

953 −768

730 −482

644 −265

523 −384

207 −149

372 −185

7.

426 −238

505 −296

841 −652

976 −877

652 −183

768 −299


Date 44


Subtract Up to 4 Digits Keep up the great work. Directions: Subtract. a

b

c

d

e

f

1.

3, 451 − 67

5, 862 − 58

1, 234 − 39

4,142 − 55

2, 036 − 93

6, 940 − 82

2.

2,153 − 92

1, 561 − 163

3, 952 − 75

7, 086 − 247

5, 884 − 96

4, 205 − 84

3.

5, 612 − 446

8, 211 − 85

6, 465 − 68

1, 203 − 176

4, 537 − 283

3, 650 − 976

4.

7,124 − 352

1, 845 − 756

5, 201 − 438

3,164 − 182

8, 475 − 197

9, 026 − 328

5.

4, 516 −1, 287

6, 443 −2, 981

8, 604 −3, 651

7, 383 −2, 094

2, 364 −1, 987

5, 218 −4, 675

6.

2,116 −1, 047

9, 543 −3, 685

3, 364 −3, 297

4, 027 −1, 518

8, 596 −2, 759

6, 440 −4, 593

7.

8, 215 −3, 720

1, 492 −1, 385

5, 276 −2, 837

2, 641 −1, 658

4, 573 −2, 587

3, 714 −2, 863

8.

6, 541 −2, 895

9, 103 −7, 654

5, 083 −1, 447

8, 362 −5, 674

3, 951 −2, 976

4, 116 −1, 758


Date 45


Subtract Up to 5 Digits You’re really zipping along! Directions: Subtract. a

b

c

d

e

1.

54, 216 − 83

73,154 − 76

30, 435 − 82

27, 471 − 77

65, 012 − 58

2.

42,156 − 374

24, 523 − 486

11, 571 − 639

50, 248 − 396

31, 231 − 856

3.

71, 642 − 1, 850

67, 353 − 4, 396

31, 543 − 8, 477

12, 640 − 3, 829

45, 937 − 6, 878

4.

34, 127 − 4, 955

80, 241 − 7, 330

22, 158 − 7, 359

52, 468 − 3, 769

68, 034 − 9, 574

5.

72, 115 −38, 023

90, 763 −24, 592

52, 461 −46, 481

35, 459 −22, 765

24, 191 −17, 380

6.

82, 421 −37, 094

41, 607 −18, 599

68, 446 −43, 894

72, 052 −34, 761

54, 217 −18, 407

7.

92, 115 −84, 307

23, 700 −14, 649

50, 266 −35, 846

31, 519 −17, 573

44, 215 −43, 768

8.

30, 519 −19, 760

76, 215 −34, 867

92, 794 −83, 895

50, 036 −24, 478

61, 573 −24, 598


Date 46


Subtract Up to 6 Digits Keep on regrouping and subtracting carefully. Directions: Subtract. a

b

c

d

e

1.

213, 561 − 85

640,155 − 94

365,146 − 38

541195 , − 97

473, 442 − 85

2.

102, 440 − 229

315, 048 − 376

854, 221 − 437

426, 007 − 154

681, 203 − 875

3.

521, 166 − 6, 410

237, 554 − 8, 905

730, 195 − 3, 676

305,172 − 5, 481

866, 543 − 9, 754

4.

601, 533 − 21, 476

425, 117 − 34, 856

520, 170 − 18, 463

295, 906 − 87, 715

133, 654 − 86, 527

5.

365, 611 −148, 702

150, 375 −103, 762

734, 211 −380, 461

624, 158 −132, 073

968, 543 −239, 706

6.

881, 542 −384, 473

401, 955 −267, 806

554, 002 −176, 301

324, 856 −219, 877

219, 194 −209, 436

7.

578, 116 −293, 409

288, 764 −195, 835

611, 426 −465, 610

982, 466 −292, 517

723, 855 −524, 376

8.

481, 495 −267, 505

736, 201 −677, 193

526, 214 −307, 558

324, 655 −168, 778

812, 754 −567, 856


Date 47


Subtract Up to 7 Digits Take your time a little to avoid mistakes. Directions: Subtract. a

b

c

d

e

1.

1, 342, 653 − 72

3,145, 603 − 89

8,115, 432 − 65

2, 050, 045 − 79

5,163, 421 − 52

2.

4, 224, 565 − 387

7, 352, 008 − 256

6, 480, 367 − 768

3,115, 450 − 561

1, 345, 233 − 246

3.

2, 733, 457 − 8, 278

9, 321, 563 − 4, 862

5, 403, 412 − 3, 504

7, 623, 455 − 9, 618

8, 320, 566 − 3, 498

4.

5, 663, 211 − 28, 490

3, 741, 806 − 50, 932

1, 656, 234 − 84, 755

7, 213, 846 − 77, 549

9, 812, 366 − 75, 247

5.

6, 514, 378 − 238, 511

4, 954, 637 − 963, 851

2,115, 673 − 267, 850

3, 784, 211 − 695, 342

5, 810, 033 − 675, 827

6.

3, 450,156 −2, 173,174

8, 556, 032 −4, 485, 924

5, 603, 459 −1, 554, 261

7, 285, 116 −5, 436, 087

9, 056, 427 −3, 862, 916

7.

8, 445, 610 −2, 675, 800

4, 261, 958 −1, 765, 219

1, 673, 851 −1, 495, 367

5, 442, 195 −4, 663, 841

7, 376, 210 −4, 412, 855

8.

7, 833, 215 −3, 659, 843

2, 561, 843 −2, 498, 756

3, 040, 561 − 2, 151, 837

8, 115, 426 −3, 756, 938

6, 284, 257 −4, 387, 468


Date 48


Practice Subtraction Now you can practice those skills you’ve gained. Directions: Subtract. a

b

c

d

e

f

1.

83 −76

54 −28

97 −39

64 −16

40 −37

35 −18

2.

146 − 79

415 − 62

340 − 85

526 − 29

733 − 68

211 − 46

3.

345 − 87

6,110 − 45

1, 842 − 67

405 − 28

821 − 45

9, 036 − 42

4.

5, 703 − 88

7, 215 − 64

3, 026 − 79

2, 004 − 65

6, 435 − 94

1, 365 − 87

5.

6, 243 − 852

9, 017 − 363

1, 426 − 188

8, 275 − 276

5, 012 − 370

4, 683 − 295

6.

9, 403 − 774

7, 361 − 856

4, 218 − 367

3, 452 − 729

2,146 − 307

8,125 − 946

7.

7, 851 −2, 067

2, 105 −2, 076

5, 436 −1, 257

6, 087 −4, 398

4, 652 −3, 764

3, 004 −1, 768

8.

4, 268 −2, 519

5, 310 −4, 873

1, 104 −1, 058

3, 642 −2, 599

8, 445 −3, 997

9, 843 −3, 954


Date 49


Practice Subtraction Just a little more practice, and you’ll have it. Directions: Subtract. a

b

c

d

e

1.

43, 561 − 84

21, 036 − 254

33, 176 − 839

60, 073 − 85

52, 481 − 396

2.

12, 633 − 2, 563

84, 291 − 6, 358

71, 034 −15, 926

40, 385 −36, 786

92, 118 − 3, 764

3.

810, 367 − 98

654, 266 − 2, 987

563, 104 − 815

436, 954 − 7, 583

206, 307 − 943

4.

561, 824 − 45, 925

833, 645 −279, 582

314, 653 − 10, 678

775, 041 −289, 540

658, 215 − 68, 306

5.

2, 456, 135 − 807

1, 266, 314 − 79

4,100, 763 − 958

5, 247, 633 − 984

9, 235, 004 − 86

6.

6,141, 509 − 3, 729

7, 852, 614 − 6, 389

3, 451, 659 − 57, 825

2, 640, 813 − 61, 486

8, 443, 225 − 8, 427

7.

7, 332, 150 − 864, 075

2, 634, 056 − 485, 917

1, 453, 068 − 764, 239

5, 843, 237 − 851, 468

4, 411, 836 − 942, 576

8.

3, 426, 855 − 2, 141, 970

5, 421, 635 −3, 258, 967

8, 004, 633 −5, 217, 378

9, 514, 030 −1, 458, 624

6, 142, 507 −4, 673, 898


Date 50


Solve Word Problems Now you can put your addition and subtraction skills to work. Directions: Solve. 1. Gary took his dog Pickles to the vet. At the last visit Pickles weighed 83 pounds, but the vet put him on a diet and now he weighs 68 pounds. How many pounds did Pickles lose?

2. Jeanne loves the book she’s reading. It’s 523 pages long, and she’s already read the first 396 pages. How many more pages does she have left to read?

3. To get from her house, south of Los Angeles, CA, to her grandmother’s house in Seattle,WA, Katrina will drive through San Francisco. If it’s 392 miles to San Francisco and 809 miles from San Francisco to Seattle, how long is the drive?

4. Adrienne and Kacey have been on the beach counting birds all day. Adrienne counted 467 pelicans and Kacey counted 1,453 seagulls! How many pelicans and seagulls did they see in all?


Date 51


Solve Word Problems More word problems for real-life practice. Directions: Solve. 1. Mr. Hancock had $67,547 in his bank account, then he deposited $3,785. How much money is in the account now?

2. Mount Everest, located in Nepal, is the highest peak in the world at 29,035 feet. K2 in Pakistan is the second highest peak at 28,250 feet. How much higher is Everest than K2?

3. The capacity of Jacob’s Field is 43,389 people. If 39,492 people attended last Saturday’s game, how many seats were empty during the game?

4. The area of Texas is 268,601 square miles, and the area of Alaska is 570,374 square miles.What is the combined area of the two states?

5. In 1985 the population of Uruguay was 2,955,241. By the year 2000 it had increased to 3,264,130. By how much did the Uruguayan population increase during those 15 years?


Date 52


Solve Word Problems Adding multiple numbers is no sweat. To subtract multiple numbers, just go one at a time. Directions: Solve. 1. While cleaning up her room, Karen found three packs of baseball cards. One pack had 67 cards, the second had 82 cards, and the third had 75 cards. How many baseball cards does she have total?

2. Henric, Nathan, and Quinn are driving across country together. Quinn drove 1,289 miles, Henric drove 847 miles, and Nathan is going to drive the rest of the way. If the entire trip is 3,585 miles long, how far will Nathan drive?

3. Over the summer, Alonzo read three books. One was 374 pages long, the second was 456 pages long and the third was 533 pages long. How many pages did he read over the summer?

4. There were 64,325 people in attendance at the football game. If 15,672 were kids and 31,255 were men, and the rest were women, how many women attended the game?

5. The Carson family has $245,000 to build a new house. If the construction will cost about $153,000 and the landscaping will cost about $24,000, how much money will be left over for the interior decorating?


Date 53


Review Addition and Subtraction Make sure to use the right operation.

Directions: Solve. a

b

c

d

e

1.

84 +37

65 −28

92 −76

23 +47

52 +94

70 −56

2.

249 − 83

436 + 54

823 − 74

316 − 59

406 + 28

560 − 53

3.

183 −156

342 −189

543 +287

824 +399

724 −485

933 +276

4.

2, 043 + 61

4, 359 + 56

6, 471 − 55

7, 361 − 89

3,121 + 79

5, 270 + 76

5.

8, 624 − 946

5, 103 + 957

1, 446 − 483

2, 708 + 597

4, 613 − 847

6, 432 + 781

6.

9, 116 − 783

3, 427 − 951

6, 284 + 738

5, 420 − 633

2, 748 + 737

4, 098 + 563

7.

6, 453 +2, 178

2, 043 −1, 559

7, 426 −4, 385

1, 269 +3, 458

3, 646 −2, 738

8, 442 +3, 959

8.

2, 454 +7, 385

5, 946 +2, 076

3, 116 −2, 840

6, 053 +2, 984

7, 216 −2, 338

9, 445 −7, 648


f

Date 54


Review Addition and Subtraction Remember, you can always use addition or subtraction to check your answers. Directions: Solve. a

b

c

d

e

1.

35, 962 − 578

42, 958 + 74

71, 295 + 837

62, 035 − 46

51, 267 − 849

2.

23, 451 + 8, 725

80, 367 + 951

34, 855 − 6, 487

12,150 − 746

92, 755 + 7, 417

3.

631, 448 + 856

542, 045 − 98

213, 655 + 2, 481

458, 291 − 775

798, 763 + 1, 364

4.

834, 662 − 75, 348

421, 556 − 95, 364

316, 248 + 23, 847

950, 433 − 76, 428

137, 845 + 66, 539

5.

524, 608 −137, 539

744, 325 +174, 285

274, 859 −239, 972

582, 076 +321, 366

301, 446 −183, 952

6.

6, 311, 768 + 92, 841

1, 536, 785 + 4, 329

2,114, 855 − 28, 370

4, 340, 159 + 87, 634

9, 815, 264 − 5, 836

7.

8, 245, 613 − 476, 208

3, 245, 915 + 837, 624

5, 593, 201 + 844, 599

7, 034, 852 − 718, 593

1, 243, 611 − 825, 376

8.

2, 754, 322 +4, 632, 895

4, 821, 367 +3, 765, 489

6, 463, 084 −2, 776, 392

3, 064, 217 +1, 376, 529

5, 211, 765 −2, 843, 956


Date 55


Find Equivalent Fractions Use pictures to recognize equivalent fractions.

1 2 2 × = 2 2 4 2 2 1 ÷ = 4 2 2

Multiply or divide the numerator and denominator by the same number to find an equivalent fraction.

Directions: Shade the figure to show the equivalent fraction, then write the fraction. a

b

c

=

=

=

=

=

=

1.

2.

Directions: Find the equivalent fractions. Remember to multiply or divide the numerator and the denominator by the same number. a

b

3.

1 2 3 = = = = 3 6 9 12 15

1 2 3 = = = = 2 4 6 8 10

4.

8 4 = = = 32 16 8 4

16 8 = = = 24 12 6 3


Date 56


Reduce Fractions When a fraction is in lowest terms, the numerator and the denominator can’t get any smaller.

8 4 2 ÷ = 12 4 3

To put a fraction in lowest terms, divide the numerator and the denominator by the largest common factor. Directions: Simplify each fraction. a

b

c

1.

3 = 6

8 = 10

6 = 8

3 = 9

4 = 10

6 = 12

3.

2 = 4

2 = 8

6 = 10

4.

3 = 12

4 = 6

4 = 8

5.

6 = 9

2 = 10

4 = 12

2.


Date 57


Add Fractions Before you can add two fractions, sometimes you have to find an equivalent fraction with the same denominator.

1 1 1 2 3 + ⇒ + = 4 2 4 4 4

First find the common denominator, then add.

1 2 2 × = 2 2 4

Directions: Add. Remember to find a common denominator if necessary. Use the picture to help. a

b

c

1.

5 1 + = 9 3

3 2 + = 7 7

2 3 + = 5 10

1 2 + = 6 3

5 1 + = 12 2

1 3 + = 4 8

1 5 + = 7 7

1 2 + = 9 3

2 1 + = 11 11

1 4 + = 2 10

1 1 + = 6 3

1 3 + = 12 4

2.

3.

4.

Date


58


Add Fractions and Mixed Numbers A mixed number is a whole number and a fraction together.

2 4 6 1 3 +1 = 4 = 5 5 5 5 5

When you add mixed numbers, add the whole numbers and fractions separately, then convert them.

Directions: Add. a

b

c

1.

1 6 2 + = 8 8

1 1 1 + = 3 3

1 3 4 + = 5 5

2.

2 1 3 + = 7 7

3 2 4 + = 9 9

2

3.

1 2 1 +2 = 4 4

3

2 3 5 +4 = 8 8

4.

1 3 2 +4 = 9 9

1 1 5 +3 = 5 5

4 2 6 +1 = 7 7

3 4 +1 = 10 10

5 6 + = 12 12

Directions: Add, then convert or simplify. a

5.

6.

7.

1 1 1 +3 = 4 4

b

c

5 4 2 +3 = 8 8

4

5

2 1 1 +1 = 9 9

2

7 6 3 +1 = 8 8

3 6 2 +6 = 7 7

4

7 6 +2 = 12 12


1 3 +1 = 10 10 8 6 +4 = 11 11 1 5 +3 = 12 12

Date 59


Subtract Fractions To subtract fractions, you need to find a common denominator.

11 1 11 6 5 − ⇒ − = 12 2 12 12 12 1 6 6 × = 2 6 12

Directions: Subtract. Remember to find a common denominator if necessary. Use the picture to help. a

b

c

1.

8 1 − = 9 3

3 1 − = 4 8

6 2 − = 11 11

5 2 − = 6 3

7 1 − = 8 4

5 1 − = 6 12

3 1 − = 4 2

7 2 − = 9 3

3 1 − = 7 7

2 1 − = 3 3

9 1 − = 10 5

5 1 − = 8 2

2.

3.

4.


Date 60


Subtract Fractions and Mixed Numbers To subtract mixed numbers, subtract the whole numbers and fractions separately.

Sometimes you need to convert before subtracting.

1 2 7 2 5 3 −1 ⇒ 2 −1 = 1 6 6 6 6 6 3

1 6 1 7 = 2+ + = 2 6 6 6 6

Directions: Subtract. a

b

c

1.

5 2 3 − = 8 8

2 1 5 − = 3 3

11 10 1 − = 12 12

2.

5 3 2 − = 7 7

7 2 1 − = 9 9

4

3.

4 3 3 −1 = 8 8

3 2 2 −2 = 4 4

6 1 5 −2 = 7 7

4.

8 6 7 −4 = 9 9

6

2 1 −1 = 11 11

3 1 2 −1 = 5 5

6 6 − = 11 11

Directions: Subtract. Convert and simplify when necessary. a

5.

6.

7.

2 5 5 −3 = 8 8

b

c

4 1 6 −2 = 9 9

1 4 3 −2 = 7 7

4

1 2 7 −5 = 4 4

5 2 5 −1 = 6 6

2 4 6 −5 = 9 9

2

3 7 − = 11 11

7 5 7 −2 = 8 8

3 1 −4 = 12 12


Date 61


Solve Word Problems Now you can apply your fraction skills to these word problems. Directions: Add or subtract. Remember to convert or simplify when necessary. 1. Ally works at the coffee shop for 5/7 of the week and Cheryl works for 3/7 of the week. How much more does Ally work?

2. Fritz is having a spaghetti party for all of his friends. He needs at least 1 1/2 boxes of pasta. If he has one box of pasta that is 3/4 full and another that is 7/8 full, will he have enough?

3. For 9/12 of the year, Cyndie goes to school in Ohio, and she spends the rest of the year with her parents in North Carolina. How much of the year does she spend in North Carolina?

4. There are 9 chapters in the book Edward is reading. If he has already read 5/9 of the book, how much more does he have to read?

5. At Hal’s Bakery, Hal is trying to decide if he needs to bake some more cakes for the afternoon crowd. He has 3 7/8 chocolate cakes left and 2 4/8 carrot cakes left. How many cakes does he have in all?


Date 62


Solve Word Problems Fractions are always helpful when you want to solve real-life problems. Directions: Add or subtract. Remember to convert or simplify when necessary. 1. When the pizza shop closed for the night, there were still 3 1/8 cheese pizzas and 2 3/8 veggie pizzas left over. How much pizza was left total?

2. From her house, Darleen walked 2 1/5 miles to her grandmother’s house and then 1 3/10 more miles to the park. How far did she walk?

3. For 5 3/12 years Sharon lived in Pennsylvania. She lived in Pittsburgh for 2 8/12 years and in Philadelphia for the rest of the time. How long did she live in Philadelphia?

4. Terance worked for 4 hours on his math and English homework. If he worked for 2 1/4 hours on his math, how much time did he spend on his English?

5. Helene has been taking yoga for 3 2/7 weeks. If she takes classes for 4 6/7 more weeks, for how long will she have been taking classes?


Date 63


Review Fractions Here’s a chance to review your fractions skills.

Directions: Shade the figure to show the equivalent fraction, then write the fraction in lowest terms below. a

b

c

=

=

=

=

=

=

=

=

=

1.

2.

3.

Directions: Add or subtract, then simplify if necessary. a

b

c

4.

4 2 + = 7 7

4 1 − = 9 9

11 1 − = 12 2

5.

3 3 + = 8 8

7 1 − = 10 5

5 1 + = 9 3

6.

8 1 − = 11 11

1 3 + = 12 4

2 1 − = 3 6

7.

3 1 + = 10 2

7 1 − = 8 4

5 1 + = 9 9


Date 64


Review Fractions Remember how to add and subtract mixed fractions? Directions: Add or subtract. Convert or simplify if necessary. a

1.

c

3 1 2 −1 = 4 4

1 6 5 + = 8 8

8

7 3 −4 = 11 11

8 1 4 −1 = 9 9

3

3.

1 1 5 +2 = 2 2

4 2 8 +1 = 5 5

5 6 3 −1 = 8 8

4.

1 1 4 +5 = 4 4

5 2 6 −3 = 9 9

2

5.

1 3 3 −2 = 8 8

4 4 5 −3 = 7 7

3

2.

1 3 3 + = 5 5

b

7 4 +2 = 12 12

8 8 +3 = 11 11 4 6 +5 = 10 10

6. After the bake sale was over, Dawn had 3 5/8 pies left and John had 4 1/4 pies left. Between the two of them, how much pie was left over?

7. Buck the dog had his last set of shots when he was 4 6/12 years old. Now he’s 5 3/12 years old. How long has it been since he had his shots?

8. The loop through the park is 3 3/10 miles long. Carol rode the loop twice on her bike. How many miles did she ride?


Date 65


Use Properties of Multiplication These are 3 basic properties of multiplication.

Commutative Property: switch the numbers in a multiplication problem, and you’ll get the same answer. 8 x 9 = 72 9 x 8 = 72 Associative Property: group different numbers in a multiplication problem, and you’ll get the same answer. (7 x 4) x 2 = 7 x (4 x 2) 28 x 2 = 56 7 x 8 = 56 Distributive Property: when you multiply a number by 2 numbers that are added together, multiply before adding and you’ll get the same answer. 5 x (6 + 4) = 5 x 6 + 5 x 4 5 x 10 = 50 30 + 20 = 50 Directions: Solve each problem, then write which property you used. 1. (4 x 3) x 2 = 4 x (3 x 2) = 2. 2 (7 + 1) = 2 x 7 + 2 x 1 = 3. 8 x 2 = 2 x 8 = 4. 3 x (5 + 6) = 3 x 5 + 3 x 6 = 5. (5 x 2) x 2 = 5 x (2 x 2) = 6. 9 x 4 = 4 x 9 = Directions: Write a math problem for each property. 7. Commutative Property: 8. Associative Property: 9. Distributive Property Name Math Computation Skills and Strategies, Level 4 Saddleback Educational Publishing ©2006

Date 66


Multiply Fast Facts Let’s zip through these fast facts. Directions: Multiply.Time yourself to see how quickly you can finish. a

b

c

d

e

f

1.

4 ×2

5 ×3

2 ×3

6 ×1

8 ×2

3 ×4

2.

3 ×3

4 ×1

8 ×4

5 ×4

7 ×3

9 ×1

3.

6 ×0

5 ×5

6 ×4

9 ×5

5 ×2

10 × 1

4.

6 ×3

8 ×3

10 × 0

6 ×5

4 ×6

9 ×3

5.

7 ×2

8 ×5

4 ×3

8 ×1

10 × 2

8 ×0

6.

2 ×9

4 ×4

8 ×6

7 ×4

6 ×2

3 ×5

7.

9 ×0

3 ×7

6 ×6

4 ×9

2 ×8

7 ×5

8.

7 ×7

3 ×6

7 ×6

5 ×9

2 ×5

8 ×7


Date 67


Practice Multiplication Use these problems to learn patterns in multiplication. Directions: Multiply. Practice memorizing these facts. a

b

c

d

e

f

1.

5 ×1

5 ×2

5 ×3

5 ×4

5 ×5

5 ×6

2.

5 ×7

5 ×8

5 ×9

5 ×10

5 ×11

5 ×12

3.

6 ×1

6 ×2

6 ×3

6 ×4

6 ×5

6 ×6

4.

6 ×7

6 ×8

6 ×9

6 ×10

6 ×11

6 ×12

5.

7 ×1

7 ×2

7 ×3

7 ×4

7 ×5

7 ×6

6.

7 ×7

7 ×8

7 ×9

7 ×10

7 ×11

7 ×12

7.

8 ×1

8 ×2

8 ×3

8 ×4

8 ×5

8 ×6

8.

8 ×7

8 ×8

8 ×9

8 ×10

8 ×11

8 ×12


Date 68


Practice Multiplication With these facts under your belt, multiplication is easy. Directions: Multiply. Practice memorizing these facts. a

b

c

d

e

f

1.

9 ×1

9 ×2

9 ×3

9 ×4

9 ×5

9 ×6

2.

9 ×7

9 ×8

9 ×9

9 ×10

9 ×11

9 ×12

3.

10 × 1

10 × 2

10 × 3

10 × 4

10 × 5

10 × 6

4.

10 × 7

10 × 8

10 × 9

10 ×10

10 ×11

10 ×12

5.

11 × 1

11 × 2

11 × 3

11 × 4

11 × 5

11 × 6

6.

11 × 7

11 × 8

11 × 9

11 ×10

11 ×11

11 ×12

7.

12 × 1

12 × 2

12 × 3

12 × 4

12 × 5

12 × 6

8.

12 × 7

12 × 8

12 × 9

12 ×10

12 ×11

12 ×12


Date 69


Multiply 2 Digits by 1 Digit Now your basic facts will come in handy. 25 × 6 30 (6 × 5 = 30) +120 (6 × 20 = 120) 150 Multiply 6 by the value of each place in 25. Directions: Multiply. a

b

c

d

e

f

1.

42 × 5

16 × 3

28 × 4

53 × 7

35 × 2

19 × 7

2.

31 × 9

23 × 8

44 × 6

15 × 5

63 × 4

52 × 8

3.

14 × 7

56 × 6

73 × 4

36 × 3

62 × 9

40 × 7

4.

23 × 8

75 × 2

38 × 4

87 × 5

51 × 7

18 × 3

5.

59 × 9

17 × 2

30 × 6

28 × 7

77 × 3

65 × 6

6.

37 × 7

94 × 8

26 × 5

16 × 9

43 × 6

87 × 5


Date 70


Multiply 3 Digits by 1 Digit Be sure to line up the digits carefully by place when you multiply.

Directions: Multiply. a

b

1.

325 × 3

211 × 5

2.

407 × 8

3.

c

d

e

f

146 × 2

580 × 3

437 × 4

682 × 5

136 × 4

627 × 6

733 × 2

359 × 7

241 × 3

518 × 2

272 × 5

863 × 3

491 × 4

605 × 8

145 × 7

4.

370 × 9

728 × 6

239 × 5

144 × 3

811 × 4

562 × 8

5.

942 × 6

553 × 4

482 × 7

316 × 9

226 × 2

630 × 8

6.

783 × 2

467 × 5

253 × 8

154 × 9

370 × 6

813 × 7


Date 71


Multiply 4 Digits by 1 Digit Keeping your place values straight is the key to multiplying bigger numbers.


b

c

d

e

f

1.

2, 305 × 6

4, 463 × 4

6,157 × 3

5, 043 × 5

1, 254 × 6

3, 045 × 7

2.

7, 334 × 7

3, 215 × 4

2, 467 × 8

4, 850 × 3

6,173 × 5

1, 427 × 6

3.

3, 004 × 6

5, 427 × 3

4,156 × 2

8, 025 × 6

2, 314 × 4

7, 852 × 3

4.

4, 862 × 5

6, 470 × 3

1, 562 × 6

2, 594 × 2

5, 843 × 3

3, 746 × 5

5.

1, 214 × 3

4, 659 × 5

7, 821 × 6

5, 209 × 9

8, 736 × 7

2, 485 × 3

6.

5, 204 × 8

6,142 × 6

9, 540 × 4

4, 832 × 7

8, 246 × 3

1, 538 × 9


Date 72


Practice Multiplication Zip through these practice problems.


b

c

d

e

f

1.

38 × 5

276 × 4

57 × 3

7, 840 × 5

613 × 2

49 × 4

2.

8, 215 × 7

761 × 2

23 × 8

144 × 9

97 × 3

5, 402 × 6

3.

483 × 9

37 × 4

829 × 6

5, 743 × 8

72 × 4

607 × 5

4.

2,115 × 6

651 × 8

193 × 7

46 × 5

58 × 9

9, 336 × 7

5.

52 × 9

8, 842 × 7

378 × 5

783 × 6

64 × 7

2, 017 × 5

6.

1, 334 × 6

908 × 5

4,127 × 3

89 × 9

764 × 2

385 × 9


Date 73


Multiply 2 Digits by 2 Digits There are different ways of solving multiplication problems. 1 1

Here are a couple of ways.

36 36 ×23 ×23 18 (3 × 6 = 18) 108 (3 × 36 = 108) OR +720 (2 × 36 = 72, use a 0 in the ones) 1 90 (3 × 30 = 90) 120 (20 × 6 = 120) 828 +600 (20 × 30 = 600) 828 Directions: Multiply. a

b

c

d

e

f

1.

42 ×16

51 ×23

64 ×15

26 ×31

43 ×45

18 ×36

2.

25 ×27

19 ×42

70 ×53

38 ×54

62 ×20

45 ×28

3.

52 ×17

46 ×22

35 ×51

94 ×26

23 ×15

16 ×72

4.

84 ×20

37 ×37

12 ×28

58 ×43

72 ×19

28 ×43

5.

64 ×32

78 ×14

27 ×23

46 ×53

50 ×72

13 ×35

6.

48 ×28

19 ×15

27 ×31

52 ×44

38 ×55

94 ×12


Date 74


Multiply 2 Digits by 2 Digits How about another round of 2-digit numbers? Directions: Multiply. a

b

c

d

e

f

1.

63 ×25

48 ×15

36 ×41

52 ×40

16 ×25

24 ×19

2.

72 ×38

54 ×17

28 ×23

45 ×61

80 ×27

35 ×43

3.

18 ×17

64 ×26

39 ×13

71 ×32

95 ×24

53 ×71

4.

85 ×20

26 ×34

18 ×23

47 ×56

32 ×19

74 ×40

5.

53 ×27

19 ×44

86 ×75

94 ×27

21 ×29

62 ×58

6.

47 ×43

93 ×36

39 ×27

64 ×40

56 ×21

75 ×45


Date 75


Multiply 3 Digits by 2 Digits Use the same technique to multiply by bigger numbers. 147 × 23 21 (3 × 7 = 21) 120 (3 × 40 = 120) OR 300 (3 × 100 = 300) 140 (20 × 7 = 140) 1 800 (20 × 40 = 800) +2, 000 (20 × 100 = 2, 000) 3, 381

1 12

147 × 23 441 (3 × 147 = 441) +2, 940 (2 × 147 = 294, use a 0 in the ones) 3, 381


b

c

d

e

f

1.

173 × 14

540 × 27

432 × 58

619 × 24

342 × 35

213 × 40

2.

727 × 45

433 × 61

827 × 50

542 × 36

275 × 14

184 × 23

3.

391 × 60

688 × 54

237 × 28

129 × 32

506 × 27

483 × 19

4.

870 × 38

429 × 65

307 × 84

596 × 32

674 × 43

185 × 26

5.

235 × 92

743 × 80

513 × 17

984 × 27

824 × 33

641 × 75

6.

426 × 54

982 × 32

340 × 76

704 × 85

896 × 21

587 × 84


Date 76


Multiply 3 Digits by 2 Digits If you regroup, be sure to do so carefully. Directions: Multiply. a

b

c

d

e

f

1.

214 × 35

736 × 27

381 × 76

530 × 43

623 × 58

171 × 63

2.

455 × 92

381 × 16

824 × 30

253 × 61

708 × 90

525 × 41

3.

137 × 28

254 × 96

583 × 56

427 × 84

395 × 27

914 × 17

4.

808 × 71

643 × 23

341 × 16

730 × 52

249 × 47

436 × 25

5.

593 × 26

154 × 86

214 × 35

688 × 13

344 × 27

895 × 30

6.

247 × 18

924 × 65

152 × 29

581 × 70

436 × 21

694 × 95


Date 77


Practice Multiplication Nothing like a little practice to strengthen you skills. Directions: Multiply. a

b

c

d

e

f

1.

29 × 4

385 × 7

725 × 9

83 × 6

24 × 7

158 × 5

2.

436 × 27

685 × 9

56 × 4

93 ×81

364 × 5

208 × 7

3.

89 × 3

561 × 2

43 ×26

681 × 4

723 × 15

16 ×17

4.

352 × 7

685 × 6

59 × 4

23 × 9

48 ×26

953 × 7

5.

176 × 8

84 ×19

227 × 13

458 × 9

33 × 6

59 ×19

6.

734 × 26

230 × 39

95 ×18

56 ×21

843 × 39

65 ×34


Date 78


Practice Multiplication Understanding multiplication will make division easy. Directions: Multiply. a

b

c

d

e

f

1.

465 × 7

74 × 9

218 × 50

56 × 9

84 ×13

171 × 5

2.

644 × 3

305 × 17

126 × 9

48 × 8

526 × 3

72 ×15

3.

230 × 40

611 × 8

77 ×23

346 × 29

19 × 7

94 × 3

4.

85 ×16

443 × 62

62 × 9

194 × 95

773 × 8

81 ×63

5.

147 × 18

59 × 7

384 × 26

955 × 8

24 ×35

672 × 10

6.

343 × 67

804 × 19

46 ×38

63 ×18

742 × 49

956 × 13


Date 79


Divide Fast Facts Here are some fast facts to launch us into division. Directions: Divide.Time yourself to see how quickly you can finish. a

1.

2.

3.

4.

5.

6.

7.

8.

b

c

d

e

4 16

)

2 10

)

5 15

)

3 6

)

7 21

)

5 35

)

4 20

)

6 12

)

3 9

)

4 24

)

7 28

)

9 9

)

6 36

2 12

)

3 18

)

5 20

)

3 15

)

4 32

6 30

)

8 32

)

7 35

)

5 45

)

10 10

)

3 12

)

2 6

)

8 16

)

)

5 40

)

7 42

)

4 28

)

)

4 36

)

10 20

)

6 48

)

12 12

8 32

6 54

8 24


f

)

6 24

)

2 8

)

3 21

)

5 25

)

7 63

9 18

)

3 27

6 18

)

7 49

9 27

)

3 24

)

7 56

)

) ) ) ) ) )

Date 80


Practice Division Learning patterns in division will help you remember the facts. Directions: Divide. Practice your memorization. a

1.

2.

3.

4.

5.

6.

7.

8.

b

c

d

e

)

5 25

5 5

)

5 10

)

5 15

)

5 20

)

5 40

)

5 45

)

5 50

)

5 55

6 6

)

6 12

)

6 18

)

6 24

)

6 30

)

6 48

)

6 54

)

6 60

)

6 66

7 7

)

7 14

)

7 21

)

7 28

)

7 35

)

7 56

)

7 63

)

7 70

)

7 77

8 8

)

8 16

)

8 24

)

8 32

)

8 40

)

8 64

)

8 72

)

8 80

)

8 88

5 35

6 42

7 49

8 56


f

)

5 30

)

)

5 60

)

6 36

)

6 72

)

7 42

)

7 84

)

8 48

)

8 96

)

) ) ) ) ) )

Date 81


Practice Division When you finish this page, you’ll know the facts through 12. Directions: Divide. Practice your memorization. a

1.

2.

3.

4.

5.

6.

7.

8.

b

c

9 9

)

9 18

)

9 27

9 63

)

9 72

)

10 10

)

10 20

)

10 70

)

10 80

)

1111

)

11 22

)

11 77

)

11 88

)

12 12

)

12 24

)

)

12 96

)

12 108

12 84

e

)

9 45

)

f

)

9 36

9 81

)

9 90

10 30

)

10 40

)

10 90

)

10 100

)

10 110

11 33

)

11 44

)

11 99

)

11110

)

12 36

)

12 48

)

)

12 120

)

12 132


d

)

9 54

)

9 99

)

9 108

10 50

)

10 60

)

10 120

11 55

)

11 66

11121

)

11132

12 60

)

12 72

)

12 144

)

) )

) )

) )

Date 82


Learn Fact Families Knowing fact families will help you solve multiplication and division problems. Fact family: 8, 9, 72 Multiplication: Division: 8 x 9 = 72 72 ÷ 9 = 8 9 x 8 = 72 72 ÷ 8 = 9 Directions: Write a multiplication sentence and a division sentence using the fact family. a

b

c

1.

Fact family: 2, 8, 16 Multiplication: Division:



2.




3.




4.




5.




6.





Date 83


Check Multiplication and Division Even numbers are always evenly divisible by 2.

Here’s how to use fact families to check multiplication and division. To check, use division.

15 15 × 8 ⇒ 8 120 120 − 8 40

)

To check, use 22 22 multiplication. 9 198 ⇒ × 9 −18 198 18

)

Directions: Multiply, then divide to check your answer. a

b

c

d

e

1.

23 × 4

17 × 5

13 × 6

31 × 3

14 × 7

2.

26 × 3

15 × 6

43 × 2

18 × 5

34 × 6

3.

19 × 4

27 × 8

38 × 2

16 × 7

16 × 7

Directions: Divide, then multiply to check your answer. a

4.

5.

6.

b

c

)

2 124

)

7 77

)

7 91

)

6 126

)

2 54

)

8 88

8 96

5 85

4 92

e

)

4 56

)

3 84

)

2 76

)

3 99

)

9 117

)

5 125


d

)

)

)

Date 84


Divide 2 Digits by 1 Digit Remember, you can always check with multiplication.

Here’s one technique for division.

14 6 84 −6 24

)

Directions: Divide. a

1.

2.

3.

4.

5.

6.

b

c

)

2 38

)

3 87

)

6 90

)

3 72

)

5 85

)

4 76

)

5 60

)

4 72

)

2 76

)

6 66

)

9 90

)

3 48

3 93

7 98

8 72

5 75

4 96

2 84

)

4 84

)

5 90

)

4 64

)

7 91

)

6 78

)

5 95


d

e

)

6 72

)

)

2 52

)

3 54

)

2 62

)

3 99

)

8 96

)

) ) ) )

Date 85


Divide 3 Digits by 1 Digit You can use the same technique to divide larger numbers. 134 4 536 −4 13 −12 16

)

Directions: Divide. a

1.

2.

3.

4.

5.

b

c

)

4 276

)

3 591

)

5 670

)

9 711

)

2 724

)

8 352

)

2 634

)

4 348

)

6 456

)

5 405

3 144

5 245

8 296

2 502

7 623

d

e

)

6 192

)

7 434

)

9 198

)

6 342

)

7 868

)

3 735

)

4 944

)

8 368

)

6 594

)

9 495


)

)

) ) )

Date 86


Divide 4 Digits by 1 Digit You’re catching on! Directions: Divide. a

1.

2.

3.

4.

5.

6.

b

)

3 4605

)

9 3843

)

5 7305

)

2 1672

)

4 9720

)

7 1834

5 1235

2 6770

6 8238

9 8433

8 7072

2 3764

c

)

7 2534

)

4 5032

)

8 9536

)

3 6261

)

6 4374

)

8 6536

)

6 2034

)

3 5898

)

2 2458

)

7 4179

)

3 8934

)

6 7326


d

e

)

8 5928

)

)

7 2464

)

4 6248

)

6 5316

)

9 5265

)

5 2755

)

) ) ) )

Date 87


Practice Division Now you can practice what you know about division. Directions: Divide. a

1.

2.

3.

4.

5.

6.

b

c

)

6 48

)

5 90

)

3 297

)

4 752

)

3 3876

)

5 9420

)

3 75

)

4 76

)

2 640

)

8 2016

)

2 4314

)

4 6388

7 56

8 424

6 216

5 735

6 2952

2 8244

)

5 85

)

9 144

)

7 840

)

9 3465

)

8 5216

)

3 7749


d

e

)

2 72

)

)

3 78

)

6 498

)

7 231

)

5 1595

)

9 4464

)

) ) ) )

Date 88


Practice Division Don’t forget: you can always check with multiplication. Directions: Divide. a

1.

2.

3.

4.

5.

6.

b

c

)

3 58

)

4 632

)

8 464

)

5 280

)

6 7344

)

7 6475

)

2 74

)

7 847

)

4 916

)

2 736

)

8 7408

)

2 3448

6 54

8 256

5 735

3 8580

4 3428

5 1465

)

5 65

)

6 876

)

3 597

)

9 4635

)

7 6909

)

4 3736


d

e

)

9 90

)

)

2 554

)

7 693

)

6 162

)

9 8424

)

3 8421

)

) ) ) )

Date 89


Solve Word Problems Use multiplication and division to solve these word problems. Directions: Solve. 1. Kendra’s family owns 32 chickens. Each chicken lays about 6 eggs per week. How many eggs do all 32 chickens produce in one week?

2. Hans broke his leg so three of his friends are taking turns delivering his homework to his home. If Hans ends up spending 42 days at home, how many times will each of his three friends take him his work?

3. Each math workbook that Julie has completed has 136 pages. If she has completed 4 workbooks, how many pages of math had she done?

4. Reo and four of his friends have figured out that if they work really hard this summer they can save enough money to build a tree house. If each of the five of them saves $1,325, how much will they have total to build the tree house?

5. There are 86 birds on the lake and exactly half of them are geese. How many geese are there in the pond?


Date 90


Solve Word Problems You can use multiplication and division to solve real-life problems like the ones below. Directions: Solve. 1. Ty, Malcom, and Pedro have decided to move into an apartment together. If the monthly rent is $927, how much will each person pay per month?

2. Dawn is driving from Maryland to California and back again to help her mom move. She knows that the entire trip is about 7,890 miles long. How far is it just one way?

3. Vickie’s baby is now 18 months old. If you estimate that there are about 30 days in a month, how many days old is her baby?

4. At the Garden Boutique, Salim bought 34 flats of flowers for his garden! Since there are 12 flowers in each flat, how many did he buy?

5. Five friends won a raffle at the party yesterday. If the prize was for $2,850, how much did each person win?


Date 91


Solve Word Problems Read the questions carefully to make sure you’re using the right operation. Directions: Add, subtract, multiply, or divide. 1. Last year 45,789 people attended the fund raising concert.This year there were 56,798 people in attendance. How many more people were there this year?

2. At his new part-time job,Terry is planning to earn $775 per month. How much will he make over the course of a year (12 months)?

3. Trisha is reading a book for her English class.The book is 378 pages long, and she has six days to read it. If she wants to read the same number of pages each day, how many pages should she read each day in order to finish on time?

4. According to a recent census, the population of Panama is about 3,000,470, and the population of Costa Rica is about 3,956,530.What is the combined population of the two countries?

5. Giovanni, Mark, and Teresa have decided to all chip in and buy a computer together. If the computer costs $1,185, how much will each of them pay?


Date 92


Review Multiplication and Division Now that you’ve got it down, you should be able to do this in no time. Directions: Solve.

1.

2.

3.

4.

5.

6.

a

b

c

27 × 5

6 72

)

4 64

47 × 3

9 54

)

5 80

95 × 2

76 × 8

37 × 7

2 422

237 × 9

6 954

842 × 3

3 261

654 × 5

4 568

921 × 6

8 736

9 4707

2, 046 × 5

9 ,451 × 7

5 6375

8, 413 × 3

7 2058

8 96

)

)

)

)

)

)

)

)

3 6501


d

e

)

)

)

840 × 3

)

3,118 × 9

)

3, 059 × 7

6 8436

Date 93


Review Multiplication and Division Now you’ve got some great skills to put to work daily. Directions: Solve. a

1.

2.

3.

4.

5.

6.

b

c

d

e

5 775

89 ×14

76 ×34

4 372

6 852

24 ×73

9 828

45 ×56

7 315

83 ×72

8 456

)

6 708

84 ×32

96 ×40

2 806

350 × 96

5 2145

3 6252

841 × 75

216 × 29

8 5832

467 × 23

859 × 47

6 5214

984 × 63

9 4212

782 × 84

7 8575

)

)

)

) )

)

)


)

)

)

)

)

)

2 7354

)

294 × 77

Date 94


Add Decimals Let’s learn about decimals by using money. 11

$4.36 +$2.85 $7.21 When you add decimals, remember to line up the decimal points. Then add just like you always have. Directions: Add. Make sure your answer has a decimal point. a

b

c

d

e

1.

$3.27 +$1.42

$4.31 +$2.16

$5.54 +$3.24

$8.31 +$1.45

$6.73 +$2.04

2.

$5.80 +$2.19

$7.32 +$5.93

$8.47 +$3.29

$6.52 +$3.71

$3.77 +$3.41

3.

$6.55 +$2.95

$3.51 +$7.89

$6.00 +$3.54

$8.99 +$4.04

$13.23 +$5.62

4.

$7.25 +$3.25

$10.76 +$4.35

$21.04 +$2.96

$8.27 +$8.44

$1.99 +$1.99

5.

$11.27 +$13.32

$4.93 +$19.06

$2.67 +$8.36

$31.00 +$42.00

$23.74 +$9.17

6.

$16.07 +$5.46

$8.97 +$2.08

$23.57 +$14.82

$36.25 +$44.75

$13.80 +$27.36


Date 95


Subtract Decimals Subtracting decimals is just like regular subtraction; just keep track of the decimal point. 7 1215

$8.35 +$2.76 $5.59 Be sure to regroup carefully. Directions: Subtract. Make sure your answer has a decimal point. a

b

c

d

e

1.

$3.74 −$1.52

$6.45 −$2.23

$5.99 −$4.65

$8.27 −$3.06

$3.54 −$2.14

2.

$9.76 −$6.25

$3.62 −$3.20

$4.55 −$1.52

$7.92 −$0.51

$15.36 −$4.24

3.

$6.45 −$4.63

$7.36 −$6.28

$3.21 −$1.40

$12.25 −$1.17

$5.29 −$4.83

4.

$9.44 −$8.73

$6.53 −$2.98

$11.72 −$9.05

$8.07 −$4.32

$5.30 −$2.58

5.

$26.52 −$13.70

$12.56 −$8.93

$32.59 −$12.43

$27.55 −$18.26

$10.43 −$9.94

6.

$17.24 −$13.56

$23.05 −$8.99

$25.13 −$11.76

$8.37 −$7.89

$10.36 −$4.57


Date 96


Multiply Decimals Take care to place the decimal point correctly when you multiply. 2 4

$8.37 × 6 $50.22 Multiply 6 by the value in each place, then add the decimal point. Directions: Multiply. Place the decimal point carefully. a

b

c

d

e

1.

$5.32 × 3

$7.00 × 6

$8.22 × 4

$9.04 × 2

$6.13 × 3

2.

$4.26 × 4

$8.70 × 6

$5.39 × 8

$7.25 × 5

$3.96 × 7

3.

$8.54 × 3

$6.73 × 9

$2.08 × 2

$6.51 × 4

$8.94 × 8

4.

$2.63 × 6

$9.00 × 5

$3.88 × 4

$7.65 × 6

$5.43 × 7

5.

$10.52 × 9

$8.99 × 2

$12.37 × 7

$7.84 × 8

$9.75 × 3

6.

$24.62 × 5

$35.95 × 6

$17.46 × 3

$38.07 × 9

$25.30 × 2


Date 97


Divide Decimals Dividing decimals is just like regular division, but don’t forget the decimal point. $3.67 8 $29.36 −24.00

)

In this case, the decimal point goes in the same place as it did in the dividend.

4 1

5.36 −4.80 0.56

Directions: Divide. Place the decimal point carefully.

1.

a

b

c

d

e

7 $2.17

)

3 $6.27

)

5 $4.55

)

4 $4.80

)

6 $4.26

)

2 $4.86

)

9 $5.04

)

7 $6.51

)

3 $2.64

)

9 $7.38

)

4 $7.76

)

8 $8.72

)

5 $9.85

)

6 $9.24

)

7 $8.68

)

3 $7.92

)

4 $6.88

)

5 $24.35

)

6 $9.78

)

2 $23.04

)

3 $9.42

2.

8 $2.56

3.

6 $8.52

4.

2 $3.54

5.

8 $13.36


)

)

)

)

)

Date 98


Solve Word Problems These word problems are about money. Practice adding, subtracting, multiplying, and dividing. Directions: Solve. 1. June and Lyle have decided to combine their money in order to buy a book about butterflies that they’re interested in. If June has $8.36, and Lyle has $7.52, how much do they have total to spend on the book?

2. At Games and More a pack of cards costs $2.13. If Tyrone wants to buy three packs, how much money will he need?

3. Kiki bought five muffins for her family. She paid $6.15 total. How much did each muffin cost?

4. Tina made $25.00 doing gardening work for her neighbor. If she used the money to buy some flowers for $5.78, how much money did she have left?

5. Larissa is buying favors for her birthday party. Six of her friends are coming to the party, and she’d like to buy a bow of crayons for each of them. If one box costs $1.73, how much will she spend?


Date 99


Solve Word Problems Check out these situations and solve. Directions: Solve. 1. Fernando,Teresa, and Joaquin have decided to chip in and buy roses for their mom for Mother’s Day. One dozen roses cost $38.97. If they split the cost in equal thirds, how much will each of them pay?

2. Carina stopped by the store on the way home from work to buy eggs and milk.The eggs cost $1.09 and the milk was $1.98. How much did she spend?

3. Usually, scented candles at the Candle Emporium cost $4.35 each, but there’s a sale this week for five for $16.50. How much do the sale candles cost each?

4. Pete saved $26.78 in the month of May, and Vincent saved $32.52. How much more did Vincent save?

5. A subscription to the local newspaper costs $65.96 for four months.What is the cost per month for the newspaper?


Date 100


Review Decimals These are great skills that will help you manage your own money.

Directions: Add, subtract, multiply, or divide. a

b

c

d

e

6 $7.38

$4.21 +$5.73

$9.57 −$8.30

)

1.

$7.22 × 3

$8.65 −$3.24

2.

$6.55 +$3.62

5 $3.85

$6.07 × 6

4 $9.52

$8.26 −3.17

7 $8.26

$9.25 −$2.86

$4.27 × 5

$2.99 +$7.83

$7.44 × 8

$2.55 −$1.93

$6.42 +$7.38

2 $9.54

$8.53 × 7

$4.59 +$9.46

3.

4.

)

)

)

)

5. Diane bought six sunflowers to decorate her kitchen.The sunflowers cost $2.43 each. How much did she spend?

6. With the $30.00 Angela was given for her birthday, she decided to buy some colored pencils and an art notebook. If she ended up spending $14.37, how much did she have left over?


Date 101


Review Decimals Here’s a final round of decimals.

Directions: Add, subtract, multiply, or divide. a

b

c

6 $17.34

$23.45 −$18.91

$12.44 +$15.93

2.

$31.95 × 3

$27.53 +$36.94

3.

$39.07 −$19.38

$15.64 × 7

4.

$27.64 +$18.65

4 $47.64

1.

)

)

d

e

)

7 $15.33

$20.36 × 8

9 $24.12

$36.54 −$21.56

$47.76 +$13.85

$27.84 −$27.36

5 $36.20

$43.88 +$26.93

$28.67 × 9

$59.43 −$29.55

$37.08 × 5

)

)

5. At the movies, Fillip bought a ticket for $8.55 and a bag of popcorn and a drink for $5.67. How much did he spend?

6. Kenneth and his three brothers have been collecting pennies for many years.They counted the pennies, and they have $56.72 in all. If they split the pennies four ways, how much will each of them have?


Date 102


Write Number Sentences When you write a number sentence, make sure both sides are equal. Directions: Complete the number sentence. a

b

1.

52 + = 65 = 65

2.

88 ÷

3.

= 11

− 35 = 67

4.

27 +

= 84

− 373 = 256

5. 6.

395 +

7.

5, 000 −

8. 9.

= 15

12 ×

= 96

× 5 = 70

84 +

= 132

56 ÷

=8

× 8 = 288

107 −

= 53

÷ 7 = 14

11×

= 121

+ 224 = 829

= 923

× 10 = 320

= 3, 000

÷ 36 = 14

÷ 12 = 12 27

23 −

c

29 = 783

954 −

354

199 = 155

17

36 = 612

11.

856

934 = 1, 790

765

9 = 85

15

19 = 285

706 = 645

1, 351


× 9 = 396

258 = 889

631

=8

+ 1, 550 = 3, 280

= 381

10.

12.

560 ÷

5 = 49

245

546 = 1, 782

1, 236

3,100 = 2,100

5, 200 132

11 = 12

Date 103


Write Equations An equation is the same thing as a number sentence. Equations have two sides that are equal. 43 times a number equals 215: 43 x n = 215 A number minus 76 equals 89: n – 76 = 89 Directions: Write the equation. Use n to stand for the missing number. a

b

1.

15 plus a number is 32

64 divided by a number is 8

2.

36 times a number is 468

A number minus 72 is 105

3.

A number divided by 9 is 23

41 times a number is 369

4.

76 less than a number is 34

13 less than twice a number is 35

5.

A number multiplied by 15 is 345

The sum of 50 plus a number equals the product of 6 and 10

6.

16 plus three times a number is 49

17 times a number minus 63 is 141

7.

115 more than a number divided by 5 is 131

65 subtracted from 21 times a number is 124

8.

2,600 less than a number is 3,200

5,245 more than a number times 8 is 5,325


Date 104


Solve Equations When you solve an equation, get the missing number alone on one side. One Step Solve: 52 + n = 93 Subtract 52 from both sides. 52 + n – 52 = 93 – 52 n = 93 – 52 n = 41

Two Steps Solve: 26 + n – 43 = 14 n – 17 = 14 Add 17 to both sides n – 17 + 17 = 14 + 17 n = 31

Directions: Solve for n. a

b

c

1.

n +17 = 25

n − 27 = 12

32 + n = 53

2.

n −16 = 41

29 + n = 45

n − 50 = 33

3.

73 + n = 114

57 − n = 21

n + 62 = 131

4.

14 + n + 20 = 43

29 + n = 83

n − 75 = 108

5.

27 + n − 53 = 17

62 − n = 34

84 − n − 27 = 28

6.

n −143 = 89

456 + n = 724

213 − n = 137

7.

n −156 + 240 = 176

95 − n = 30

327 + n −103 = 265

8.

561 − 84 + n = 629

236 − n +117 = 251

485 + n = 793

9.

705 − n + 342 = 146

503 − n = 375 +108

801 + n − 43 = 946

10.

233 + n = 89 + 324

n − 245 + 399 = 727

n − 563 = 856 − 582


Date 105


Solve Equations Now you can solve equations using multiplication and division. One Step Solve: n ÷ 12 = 11 Multiply both sides by 12. n ÷ 12 x 12 = 11 x 12 n = 11 x 12 n = 132

Combine Terms Solve: 7n + 2n = 207 9n = 207 Divide both sides by 9. 9n ÷ 9 = 207 ÷ 9 n = 23


b

c

1.

7 n = 105

n ÷17 = 19

10n = 120

2.

n = 13 8

6n = 192

n ÷ 23 = 8

3.

9n = 279

n ÷ 26 = 8

11n = 121

4.

n ÷ 34 = 10

5n = 245

n = 15 24

5.

12n = 96

n ÷ 31 = 17 + 6

5n + n = 156

6.

n = 5+6 13

8n = 154 +142

n ÷ 25 = 20

7.

3n + 6n = 378

n ÷18 = 32

8n − 3n = 365

8.

n = 26 + 8 27

4n + 2n = 486

n ÷ 38 = 56 − 29

9.

17 n − 9n = 448

9n −19 = 2n +103 107

n =8 10 + 4

10.

6n + 6n = 144

n ÷ 8 = 92 +13

8n − 7 = 5n + 50


Date 106


Describe Patterns Find the rule for the pattern. 8, 16, 32, 64, 128 8 x 2 = 16, 16 x 2 = 32, 32 x 2 = 64, 64 x 2 = 128 The rule is "multiply by 2." Each number is twice the one before it. Directions: Write the rule for the pattern. a

b

1.

28, 35, 42, 49, 56

85, 70, 55, 40, 25

2.

6, 12, 24, 48, 96

10, 33, 56, 79, 102

3.

108, 36, 12, 4

90, 73, 56, 39, 22

4.

125, 275, 425, 575

6; 30; 150; 750; 3,550

5.

104, 52, 26, 13

350, 305, 260, 215, 170

6.

247; 547; 847; 1,147

768, 192, 48, 12, 3

7.

980, 940, 900, 860

15, 45, 135, 405

8.

5,250; 5,000; 4,750; 4,500

3,125; 625; 125; 25; 5


Date 107


Complete Patterns Find the rule for the pattern, then complete it. , 40, 56, , 88, 104, Rule: Add 16 24, 40, 56, 72, 88, 104, 120

Directions: Complete the pattern. 1. 1,152;

; 288; 144;

2. 1; 3.

; 9; 27;

;

; 243;

; 1,705; 1,405;

4. 50, 125, ___ 5. 2, 4, 8, 6. 700, 595,

; 18; 9 ; 2,187

; 805;

; 205

, 275, 350, , ___

,

, 575

, 64, 128,

, 385, 280,

,

7. Petra is making a necklace. She strings 12 red beads then 6 yellow beads. Figure out how many beads she used in all by filling in the pattern. 12 , 18 , 30 , , , , , red, yellow, red, yellow, red, yellow, red, yellow = total 8. Gary and his friends are at track practice, and their coach has told them to sprint 200 meters then jog 400 meters. Fill in the blanks below to figure out how many meters they will end up completing. 200 , 600 , 800 , , , , , , , sprint, jog, sprint, jog, sprint, jog, sprint, jog, sprint, jog = total


Date 108


Solve Word Problems Set up an equation before you solve a problem.

Directions: Write an equation for each problem, using n to represent the missing number. 1. The gas tank in the school bus was full, but 13 gallons were used to go on the field trip. If there are 27 gallons of gas in the tank now, how many gallons of gas does the tank hold when it’s full?

2. Carolyn counted 96 geese in the lake, then another flock of geese arrived. If there are 138 geese in the lake now, how many geese were in the new flock?

3. According to the doctor, Francisco has grown 47 centimeters in the past five years. If he is now 170 centimeters tall, how tall was he five years ago?

4. Dawn had many books on her bookshelf, but she lent 12 out to some of her friends. If she has 58 books left on her bookshelf, how many books did she have to begin with?

5. Aaron read twice as many pages as Kenric did because he really liked the book. Kenric read 123 pages. How many pages did Aaron read?


Date 109


Solve Word Problems Now you can use an equation to solve a word problem.

Directions: Write an equation for each problem, using n to represent the missing number.Then figure out the value of n. 1. The temperature in Cancun, Mexico is four times higher than the temperature in Portland, Maine. If it’s 84 degrees Fahrenheit in Cancun, what is the temperature in Portland?

2. Filipe has driven 573 miles, but he still has a number of miles to go. If the total distance to his destination is 2,346 miles, how many miles does he have to go?

3. The nine students in Miss Jacob’s reading group decided to buy her a gift at the end of the year. If each student contributed $15, how much did the gift cost?

4. Sandra picked a big bunch of dandelions for her mom and dad. She gave 18 to her mom and 14 to her dad. How many dandelions did she pick in all?

5. The elephant weighs five times as much as her baby. If the mother elephant weighs 4,125 kilograms, how much does her baby weigh?


Date 110


Review Equations Here’s one more chance to look at patterns and equations. Directions: Complete the number sentence. a

1. 2.

156 − = 98 = 98 72 ÷

3. 4.

b

× 12 = 84

=9

78 +

+ 259 = 471

× 10 = 100

1, 630 +

8 = 90

720

= 139

− 112 = 236

÷ 25 = 7

20 = 320

16

c

2, 394

= 2,150 663 = 1, 731


b

c

5.

57 + n = 79

n ÷ 22 = 18

12n = 144

6.

n = 14 8

98 − n = 42

7 n − 2n = 125

7.

n + 236 = 426 −18

5n + 4n = 324

n ÷16 = 36 −17

8.

n = 11 22 + 7

546 − n = 113 + 85

3n + 58 = 4n + 27

Directions: Fill in the missing numbers in each pattern. a

9. 10. 3,125;

b

; 16; 64; ;

; 1,024

1; 10;

; 25; 5

4,207; 4,007;


; 1,000;

; 100,000 ; 3,607; Date

111


Use Customary Weight Units In the U.S., we usually use the Customary System when we measure weight. 1 pound (lb) = 16 ounces (oz) 1 ton (T) = 2,000 pounds (lbs) Directions: Fill in the blank with the units you would use to measure the weight. a

b

1.

A dog

A dump truck

2.

A pencil

An elephant

3.

A bag of pretzels

A mouse

4.

A big pile of bricks

A backpack of books

Directions: Circle the answer that could be the correct weight. a

5.

6.

7.

8.

b

A box of crayons

Joe the cat

14 oz 14 lbs 14 T

1 oz 10 lbs 1 T

A hippopotamus

A sack of potatoes

20 oz 20 lbs 2 T

5 oz 5 lbs 5 T

An apple

A car

12 oz 12 lbs 2 T

3 oz 300 lbs 3 T

A gallon of milk

A bus

8 oz 8 lbs 8 T

6 oz 600 lbs 6 T


Date 112


Use Metric Weight Units In many places, people use the Metric System instead of the Customary System. 1 gram (g) = 1,000 milligrams (mg) 1 kilogram (kg) = 1,000 grams (g) Directions: Fill in the blank with the units you would use to measure the weight. a

b

1.

A pencil

A mosquito

2.

A man

A teacup

3.

A grain of sand

A big dictionary

4.

A small bird

A rabbit

Directions: Circle the answer that could be the correct weight. a

5.

6.

7.

8.

b

A woman

A pin

60 mg 60 g 60 kg

100 mg 100 g 100 kg

A frog

A horse

10 mg 10 g 100 kg

600 mg 600 g 600 kg

A speck of dust

A pack of cards

1 mg 10 g 10 kg

200 mg 200 g 200 kg

A couch

A vitamin

80 mg 80 g 80 kg

500 mg 500 g 500 kg


Date 113


Convert Weights Use the information on pages 112 and 113 to convert. 32 oz = 2 lbs 38 oz = 2 lbs 6 oz Directions: Convert the weight. a

b

1. 2,000 mg =

g

48 oz =

2. 8,000 lbs =

T

5,000 g =

lbs

3. 128 oz =

lbs

mg = 9 g

4. 6,000 g =

kg

lbs = 5 T

5. 7,000,000 mg =

kg

6. 3,200 mg =

g

7.

oz = 3 lbs 5 oz

8.

mg = 9 g 125 mg

9. 3,000 lbs = 10. 50 oz =

T lbs

oz = 5 lbs mg

16,000 lbs =

T

g = 5 kg 300 g 160 oz = lbs

4,520 mg =

oz

lbs g

mg

g = 7 kg 17 g


kg

Date 114


Add and Convert Weights Now you can add first and then convert. 7 lbs 5 oz + 2 lbs 13 oz = 9 lbs 18 oz = 10 lbs 2 oz Add Convert

Directions: Add the weights, then convert. a

b

1. 600 g + 700 g =

14 lbs 7 oz + 8 lbs 10 oz =

2. 7 T 200 lbs + 1,900 lbs =

7 g 23 mg + 8 g 985 mg =

3. 20 lbs 3 oz + 23 lbs 15 oz =

970 mg + 430 mg =

4. 2 kg 300 g + 8 kg 700 g =

10 T 950 lbs + 4 T 1,340 lbs =

5. Samuel was buying oranges at the store. Five oranges weighed 1 kilogram 200 grams but he added three more oranges that weighed 900 grams. How much did all eight oranges weigh?

6. Penelope’s baby weighed 7 pounds 9 ounces when she was born.Two weeks later she had gained 12 more ounces. How much did she weigh when she was two weeks old?

7. The truck was loaded with 3 tons 1,470 pounds of cement.Then 1,900 more pounds of cement were added. How much cement was in the truck in all?


Date 115


Calculate Time Intervals How long did it take? Jenny left for school at 7:30 AM and arrived at 7:55 AM. It took her 25 minutes to get to school.

Directions: Figure out how much time passed. 1. Linsey left on a bike ride at 1:15 PM and got back at 3:25 PM.

2. The play started at 7:10 PM and ended at 9:45 PM.

3. The football game started at 12:30 PM and ended at 3:05 PM.

4. Tyler left to go shopping at 11:25 AM and got home at 4:30 PM.

5. Irene got to work at 8:30 AM and left at 4 PM.


Date 116


Convert Time Refer to the table when you convert time. 60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day 7 days = 1 week Convert: 48 hours = 2 days

Directions: Use the table to convert the times. a

b

1. 120 seconds = 2. 72 hours =

minutes

14 days =

days

weeks

minutes = 3 hours

3.

days = 3 weeks

360 seconds =

4.

minutes = 2 hours

36 hours =

5. 25 days = 6.

weeks

days

days

hours

seconds = 5 minutes

hours = 2 days 15 hours

minutes = 3 hours 50 minutes

7. 62 seconds =

minute

seconds

8. 250 minutes =

hours

minutes


minutes

90 hours =

days

hours

days = 3 weeks 2 days

Date 117


Add and Convert Time Remember to convert after you add time intervals. Michael talked on the phone with his mom for 47 minutes and with his dad for 36 minutes. How long did he talk on the phone? 47 + 36 = 83 = 1 hour 23 minutes Add Convert Directions: Add the time intervals then convert. 1. Gerard worked on his math homework for 1 hour and 25 minutes and his English homework for 1 hour 40 minutes. How long did he spend doing homework?

2. On Thursdays, Orla has piano lessons for 45 minutes and violin lessons for 45 minutes. How much time does she spend on Thursdays in music lessons?

3. To get to her grandmother’s house, Carla spent 3 hours and 35 minutes on a plane and 1 hour 50 minutes in a bus. How long did she travel?

4. The recipe says to cook the cake on high heat for 55 minutes then on low heat for 25 minutes. In all, how long does the cake need to be cooked?


Date 118


Use Customary Lengths To measure length, we usually use the Customary System in the U.S. 12 inches (in) = 1 foot (ft) 3 feet = 1 yard (yd) 5,280 feet = 1 mile Directions: Fill in the blank with the units you would use to measure the length. a

b

1.

A car

From Africa to Australia

2.

A football field

A magazine

3.

A ladder

A basketball court

4.

A pizza

From Iowa to Alaska

Directions: Circle the answer that could be the correct length. a

5.

6.

7.

8.

b

The height of a cat

The width of a classroom

1 in 1 ft 1 yd

5 in 5 ft 5 yd

The length of an envelope

The distance from Boston to Miami

8 in 8 ft 8 yd

1,500 ft 1,500 yd 1,500 miles

The distance Travis threw the football

The length of a mouse

2 in 20 yd 2 miles

4 in 4 ft 4 yd

The distance from Seattle to Portland

The height of a bookcase

170 ft 170 yd 170 miles

6 ft 6 yd 6 miles


Date 119


Estimate Customary Lengths Estimation is a very useful skill. Directions: Estimate the length then measure the actual length with a yardstick. Estimate

Actual

1. Your height 2. The height of your desk 3. The length of your pencil 4. The width of the room 5. The length of this book Directions: Estimate the length.Then use the yardstick to measure your stride, and find the actual length by counting strides and converting. Estimate Strides Length Actual of Stride 6. The width of the playground

x

=

7. The length of the block you live on

x

=

8. The length of the school building

x

=

9. The length of your house or apartment building

x

=

10. The width of the school parking lot

x

=


Date 120


Convert Lengths Use the information on page 119 to convert. 92 inches = 7 ft 8 in Remember: 12 in = 1 ft, so divide by 12. Directions: Convert the length. a

b

1. 36 in =

ft

2. 40 in =

ft

3. 5,280 ft =

9 ft = in mile

yd

17 ft =

yd

60 in =

ft

ft

4. 27 ft =

yd

26 in =

ft

in

5. 84 in =

ft

10 ft =

yd

ft

6. 67 in =

ft

15 ft =

yd

in

52 in =

ft

ft

36 in =

yd

7. 121 in = 8. 19 ft = 9.

ft yd

in

in = 8 ft 4 in

10. 144 in =

ft = 10 yd

yd

ft = 2 miles


in

Date 121


Add and Convert Lengths Remember to convert after you add lengths. The scarf that Aunt Sue was making was 3 ft 9 in long. Then she knitted 1 ft 5 in more. Now how long is the scarf? 3 ft 9 in + 1 ft 5 in = 4 ft 14 in = 5 ft 2 in Add Convert Directions: Add the measurements then convert them. 1. When Jake was 9 he was 4 feet 2 inches tall. Five years later he had grown 11 more inches. How tall was he at 14? 2. The Gregorys’ garage was 10 feet 5 inches wide, but now with the new shop it’s 8 feet 10 inches wider.What is the total width of the garage now? 3. Gabriela’s flowerbed was 5 yards 2 feet long, but she decided to make it longer. If she added 2 yards 2 feet to the length, how long is it now? 4. Joann walked 2,200 feet and Felix walked 3,080 feet. Together, how far did they walk? Directions: Add then convert. a

b

5. 8 ft 10 in + 9 in =

10 in + 11 in =

6. 25 ft 6 in + 6 in =

7,225 ft + 3,335 ft =

7. 6 yd 2 ft + 12 yd 2 ft =

15 ft 5 in + 12 ft 8 in =

8. 5 yd 2 ft + 7 yd 1 ft =

22 ft 4 in + 12 ft 11 in =


Date 122


Use Metric Lengths The Metric System is used in many parts of the world. 10 millimeters (mm) = 1 centimeter (cm) 100 centimeters (cm) = 1 meter (m) 1,000 meters (m) = 1 kilometer (km) Directions: Fill in the blank with the units you would use to measure the length. a

b

1. From your town to Washington, D.C. 2. The length of your pinky

The length of a pen

3. From Europe to the United States 4. The width of your fingernail

The length of a school bus

The width of a crayon

The height of your school

Directions: Circle the answer that could be the correct length. a

b

5. The height of a woman

The distance from Kansas City to Iowa City

1.5 cm 1.5 m 1.5 km

500 cm 500 m 500 km

6. The length of a shoe

The height of a hotel

20 cm 20 m 2 km

20 cm 20 m 2 km

7. The distance from Chicago to Denver The width of a desk 1,600 cm 1,600 m 1,600 km

60 cm 60 m 6 km

8. The width of a street

The length of a track race

20 cm 20 m 20 km

5 cm 5 m 5 km


Date 123


Estimate Metric Lengths Estimating metric lengths takes a little more practice. Directions: Estimate the length then measure the actual length with a meter stick. Estimate

Actual

1. The height of the classroom door 2. Your friend’s height 3. The length of a marker 4. The width of the hallway 5. The length of a book Directions: Estimate the length.Then use the yardstick to measure your stride, and find the actual length by counting strides and converting. Estimate Strides Length Actual of Stride 6. The length of the hallway

x

=

7. The length of the block your school is on

x

=

8. The length of a nearby park

x

=

9. The width of your house or apartment building

x

=

10. The length of your driveway

x

=


Date 124


Convert Lengths Use the information on page 123 to convert. 352 cm = 3 m 52 cm Remember: 100 cm = 1 m, so divide by 100. Directions: Convert the length. a

b

1. 4,000 m =

km

70 mm =

cm

2. 900 cm =

m

94 mm =

cm

3. 810 cm =

m

cm

9,000 m =

km

4. 78 mm =

cm

mm

210 cm =

m

5.

m = 5 km

6.

mm = 35 cm

7. 192 cm = 8.

10.

cm

cm = 9 m 25 cm

m

6,200 m = cm

cm

m

cm = 3 m 21 cm mm

9,203 m =

mm = 9 m 34 cm 7 mm

km

m

m = 3 km 43 m


km

mm = 5 cm 3 mm

m = 7 km 500 m

9. 762 mm =

mm

Date 125


Add and Convert Lengths Remember to convert after you add lengths. The quilt that Betsy was making was 2 m 75 cm long.Then she added 1 m 40 cm more. Now how long is the quilt? 2 m 75 cm + 1 m 40 cm = 3 m 115 cm = 4 m 15 cm

Directions: Add the measurements then convert. 1. The tear in Frank’s sweater was just 3 cm 5 mm long, but then it ripped 8 mm more. How long is the tear now? 2. Daniel was 1 m 50 cm tall in high school, but he grew 60 cm. How tall is he now? 3. In the relay Harrison walked 3 km 700 m and Janel walked 4 km 400 m. How far did they walk combined? 4. The new set of classrooms that are being built onto the school will increase its length by 10 m 70 cm. If the school was 56 m 90 cm long before, how long is it now?

Directions: Add then convert. a

b

5. 9 m 78 cm + 60 cm =

23 cm 3 mm + 9 mm =

6. 10 km 340 m + 1 km 950 m =

13 m 40 cm + 3 m 60 cm =

7. 7 cm 8 mm + 12 cm 2 mm =

28 km 600 m + 14 km 500 m =

8. 21 m 31 cm 5mm + 10 m 23 cm 3 mm =

87 cm 5 mm + 25 cm 7 mm =


Date 126


Understand Perimeter When a shape has equal sides, just multiply.

5 ft

Length (L) = 5 ft Number of sides = 4 Perimeter (P) = 5 + 5 + 5 + 5 = 5 x 4 = 20 ft

Directions: Find the perimeter. Assume that the sides are equal. Label your answer. Shape

Length of One Side

1. Triangle

8 mm

2. Pentagon

12 yd

3. Octagon

7 in

4. Square

18 m

5. Hexagon

25 ft

6. Triangle

500 m

7. Octagon

30 cm

Perimeter

8. Paola has a square garden. One side is 13 ft long.What is the perimeter?

9. Jake cut out an equilateral triangle. One side is 35 cm.What is the perimeter?

10. The building is in the shape of a pentagon with equal sides of 220 m. What is the perimeter?


Date 127


Find Perimeters Sometimes the sides are not equal.

9 ft 15 ft

Length (L) = 15 cm Width (W) = 9 cm Perimeter (P) = 15 + 15 + 9 + 9 = (15 x 2) + (9 x 2) = 48 cm

Directions: Find the perimeter of the rectangle. a

b

c

1.

L = 25 ft W = 20 ft P=

L = 40 cm W = 32 cm P=

L = 59 m W = 11 m P=

2.

L = 5 ft 7 in W = 3 ft 6 in P=

L = 14 m 38 cm W = 9 m 54 cm P=

L = 21 ft 8 in W = 20 ft 3 in P=

3. The field is 1,220 feet long and 800 feet wide.What is its perimeter?

Directions: Find the perimeter of the triangle. a

b

c

4.

Side 1 = 14 ft Side 2 = 9 ft Side 3 = 20 ft P=

Side 1 = 65 cm Side 2 = 39 cm Side 3 = 46 cm P=

Side 1 = 11 in Side 2 = 8 in Side 3 = 7 in P=

5.

Side 1 = 1 m 12 cm Side 2 = 79 cm Side 3 = 86 cm P=

Side 1 = 7 ft 10 in Side 2 = 12 ft 3 in Side 3 = 9 ft 6 in P=

Side 1 = 25 cm 3 mm Side 2 = 32 cm 5 mm Side 3 = 29 cm 6 mm P=

6. With construction paper, Kahlila cut out an isosceles triangle.Two sides are each 7 inches long, and the third side is 11 inches long.What is the perimeter?


Date 128


Understand Area To find the area, multiply the length by the width.

L = 27 cm W = 19 cm P = 92 cm Area (A) = 27x 19 = 513 square cm Remember: Area is always in square units. Directions: Fill in the chart with the missing numbers. Convert first if necessary. Shape Length Width Perimeter Area 1. Rectangle

18 yd

12 yd

60 yd

sq yd

2. Square

28 m

28 m

112 m

sq m

3. Square

43 cm

43 cm

4. Rectangle

37 ft

5. Square

83 cm

6. Rectangle

2 ft 3 in

7. Rectangle

1 cm 2 mm

8. Square

162 ft

sq ft

3 m 32 cm

sq cm

2 ft

648 sq in

132 sq mm

3 ft 5 in


1,849 sq cm

Date 129


Find Areas To find the area of an unusual shape, break it up into pieces.

Rectangle: A = 16 x 22 = 352 sq ft Square: A = 12 x 12 = 144 sq ft Total A = 352 + 144 = 496 sq ft Separate the shape into a rectangle and a square, then add the areas. Directions: Find the area. a

b

1. A=

A=

A=

A=

A=

A=

2.

3.

4.

A of shaded 6ft

A=

30 ft 6ft

region =

20 ft


Date 130


Understand Volume Volume is measured in cubic units because it’s three-dimensional.

Volume (V) = L x W x H = 4 x 2 x 3 = 24 cubic inches Remember: Volume is in cubic units.

Directions: Find the volume. a

b

1. 8 cm

8 cm

V=

V=

V=

V=

V=

V=

8 cm

2. 5 mm

5 mm

5 mm

3.

4. Katie filled the sandbox with sand.The dimensions of the sandbox are: L = 6 ft, W = 4 ft, and H = 2 ft.What volume of sand did she put in the sandbox? 5. The dimensions of the cardboard box are: L = 18 cm,W = 18 cm, and H = 12 cm. What is the volume of the box?


Date 131


Find Volumes Here’s some more practice.

Directions: Find the volume. Remember to label your answer. a

b

1. V=

V=

V=

V=

V=

V=

V=

V=

2.

3.

4.

5. Tim wants to figure out the volume of the pool.The dimensions are: L = 14 ft,W = 12 ft, H = 6 ft.What is the volume?

6. Janine and Francine both have lunch boxes with the same volume of 192 cubic inches but different dimensions. If Janine’s lunch box is 8 inches long and 6 inches wide, and Francine’s lunch box is 12 inches long and 4 inches wide, what are the heights of each of the lunch boxes?


Date 132


Solve Word Problems Now use what you know about measurement to solve these word problems. Directions: Solve. 1. Terrance read for 1 hour and 45 minutes yesterday and for 2 hours and 55 minutes today. Between the two days, how long did he read?

2. The Nguyens want to put new carpeting in the living room.The room is 12 feet by 14 feet. How much carpeting will they need?

3. The potatoes weighed 5 pounds and 8 ounces, then Sheila added 4 pounds 7 ounces more. How many pounds of potatoes did she have in all?

4. The school is going to buy new fencing for the soccer field. If the dimensions of the area to be fenced are 90 yards by 130 yards, how much fencing is needed?

5. Jeremiah’s garden was 15 meters 40 centimeters long, but now he has lengthened it by 9 meters 75 centimeters. How long is his garden now?


Date 133


Solve Word Problems You can apply what you’ve learned to real life. Directions: Solve. 1. Marie cut a perfect octagon out of construction paper. If one side measures 19 cm, what is the perimeter of the shape?

2. At the store, flour only comes in 450-gram bags. Rosemary is making a huge cake and she needs 2 kilograms 300 grams of flour. How many bags of flour should she buy?

3. Desmond is going to put a new border around the base of the walls in the living room.The room is 5 m 56 cm long and 4 m 78 cm wide. If he can only buy the border material in 4-meter pieces, how many pieces will he need?

4. The first three songs on the album lasted 3 minutes 56 seconds, 4 minutes 15 seconds, and 4 minutes 37 seconds. If Ryan played the first three songs for his friend, how long did it take?

5. Darrell wants to know how many square feet of soil he can put in the wheelbarrow. If the wheelbarrow is 1 foot 6 inches by 2 feet by 3 feet 4 inches, how much soil will it hold?


Date 134


Review Measurements Review time has arrived! Directions: Circle the measurement that is most likely correct. a

1.

2.

3.

4.

5.

b

The weight of a fly

The weight of a dog

200 mg 200 g 200 kg

4 oz 40 lbs 4 T

The amount of time it takes to brush your teeth 2 sec 2 min 2 hrs

The width of a living room

The weight of an orange

The length of a calculator

11 oz 11 lbs 1 T

12 mm 12 cm 12 m

4 in 4 ft 4 yd

The distance from California to Hawaii The weight of a lion 38 cm 380 m 3,800 km

180 mg 180 g 180 kg

The amount of time it takes to watch a movie 1.5 sec 1.5 min 1.5 hrs

The length of a notebook 11 in 11 ft 11 miles

Directions: Add then convert. a

b

6.

21 kg 400 g + 29 kg 800 g =

3 hrs 45 min + 9 hrs 27 min =

7.

4 ft 9 in + 28 ft 3 in =

5 lbs 10 oz + 6 lbs 8 oz =

8.

76 m 23 cm + 56 m 78 cm =

50 g 390 mg + 80 g 720 mg =

9.

50 min 36 sec + 25 min 42 sec =

35 lbs 2 oz + 27 lbs 15 oz =

10.

45 ft 7 in + 36 ft 8 in =

27 km 400 m + 31 km 900m =


Date 135


Review Measurements Now Let’s review perimeter, area, and volume. Directions: Fill in the missing numbers in the table. Shape

Perimeter of Shaded Region

Area of Shaded Region

Total Volume

1.

2.

3.

4.

5.

6. 9 in 23 in

25 in 14 m

7. 14 m

28 m

21 m 7m 42 m


Date 136


Students

Math Computation Skills and Strategies, Level 4 Saddleback Educational Publishing ©2006

num ber sen se add pp. itio 6np 25 p. 2 sub 6 -3 tra 7 ctio np add p. 3 itio 8na 50 n d fra sub ctio tra ns ctio pp. np mu 56 p. 5 ltip -6 1lica 5 55 tio np div isio p. 6 np 6p. 8 79 mu 0ltip 8 9 lica tio na op era nd tio div ns isio wit equ np hd p. 9 atio eci 0ns ma 94 p l p s me . 10 p p. 9 asu 3 5 rem 111 -1 ent 02 pp. 112 -1 36

Scope and Sequence

137


Answer Key PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

7

6,000 3,000,000 200,000 4,000 5,000,000 80,000 7 300 900,000 400

PAGE

1. 2. 3. 4. 5. 6.

6

6,306,259 294,703 9,040,824 3,526,920 200,000+20,000+9,000+700+6 6,000,000+400,000+30,000+1,000+ 70+6 4,000,000+3,000+200+50+8 700,000+80,000+9,000+300+40+7 eight million, five hundred sixty-three thousand, seven hundred twenty-one six million, two hundred three thousand, four hundred eighty-five three hundred forty-three thousand, thirty-nine nine million, forty-six thousand, seven hundred fifty-five

1. 2. 3. 4. 5. 6. 1. 2. 3. 4.

< > > =

Decimal 0.06 0.4 0.08 0.4 0.09 0.06 0.5 0.04 0.9 0.04

Word six hundredths four tenths eight hundredths four tenths nine hundredths six hundredths five tenths four hundredths nine tenths four hundredths

10

0.06 2 80,000 3 5 2

PAGE

7. 2+0.07 8. 8+0.4 9. three and fifty-six hundredths 10. seven and twentyfour hundredths 11. nine and five hundredths

9

Fraction 1. 6/100 2. 4/10 3. 8/100 4. 4/10 5. 9/100 6. 6/100 7. 5/10 8. 4/100 9. 9/10 10. 4/100 PAGE

3,000 40,000 5 60,000 3,000 90 5,000 700,000 20,000 8

8

2.31 9.4 7.07 6.93 0.4+0.02 5+0.4+0.06

PAGE

50 700 80 200 400,000 700 0 4,000,000 10 5,000

7. 8. 9. 10. 11. 12.

60 0 1 5/100 3 1/10 2 5/10 1 45/100

11 < < <
> = > > 76,464 3,456 52,807 6,023,900 12,814 163,472

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14.

9. 10. 11. 12.

13

840 2,410 60 8,420 30 5,500 900 20,700 500 300

1,230 440 3,120 100 900 14,500 1,100 600 11,300 9,800

80 4,690 900 76,830 12,490 47,200 56,700 156,900 7,400 19,800

130,000 4,540,000 640,000 210,000 4,970,000 550,000 8,310,000 200,000

Least 1,500 35,000 550,000 750

Greatest 2,499 44,999 649,999 849

100,000 4,500,000 600,000 200,000 5,000,000 600,000 8,300,000 200,000

2 1 3 7 7 6 8

8. 9. 10. 11. 12. 13. 14.

138

2.8 5.0 9.2 5.7 9.5 4.1 9.6

1. 2. 3. 4. 5.

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9.

1/3 6/9 1/2 2/3 2/10

3/4 3/6 2/6 3/12 2/3

18 5/4=1 1/4 7/6=1 1/6 4/3=1 1/3 1 3/5 1 3/10

5/3=1 2/3 11/8=1 3/8 27/10=2 7/10 1 1/9 1 7/8

19

< > < > = > < < = > > < = < < > < < = < > 1/4; 1/2; 3/4 2/5; 1/2; 4/5

1/8; 3/8; 1/2 1/5; 2/5; 1/2

20

1. four tenths=0.4=4/10=2/5 2. six tenths =0.6=6/10=3/5 3. seventy-five hundredths=0.75= 75/100=3/4 4. two tenths=0.2=2/10=1/5 5. twenty-five hundredths=0.25=25/100 =1/4 6. eight tenths=0.8=8/10=4/5 7. fifty hundredths=0.50=50/100=5/10 = 1/2 8. thirty hundredths=0.30=30/100=3/10 PAGE

1. 2. 3. 4. 1. 2. 3. 4.

3 5 9 6 9 4 10

3/5 6/8 3/10

3/2=1 1/2 9/5=1 4/5 22/9=2 4/9 1 2/3 1 5/6

< < > >

< > < > >

< < <
= > >

> > < >

22

-28 -13 10 -10

PAGE

1. 2. 3. 4. 5.

21

= < <
> > <
< < < >

6. 7. 8. 9. 10.

-3; 0; 3 -4; -1; 5 -1; 0; 3 -5; 1; 2 -3; -2; 1

-4; 3; 4 -5; -3; -2 -4; -2; 1 -5; -3; 0 -4; 0; 5


PAGE

24

1. 700,000+30,000+4,000+60+1 2. eight million, thirty thousand, five hundred thirty 3. 5+0.6+0.04 4. seven and fifty-two hundredths 5. 9 6. 7,000 7. 3 8. 300 and 0.03 9. < > 10. > = 11. < > 12. < = 13. 8,500 12,080 14. 135 300,000 15. 85.1 9,740,000 PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9.

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9.

8 18 14 8 16 7 16 8 17 11 12 12

PAGE

1. 2. 3. 4. 5. 6. 7.

17 19 15 39 18 29 18

PAGE

1. 2. 3. 4.

0.8 0.37 0.75, 3/4 2/31/2

1/3; 1/2; 2/3 -4; 0; 4 -6; -3; 10

26

15, Commutative Property 15, Identity Property 22, Associative Property 537, Identity Property 21, Associative Property 15, Commutative Property Answers will vary Answers will vary Answers will vary

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

25

3/4 6/11 1 4/5 3/12=1/4 > > = < > > -7; -5; -3 1/6; 1/2; 4/6 -2; 2.25; 2 1/2

21 72 50 43

15 4 12 0 9 10 5 13 18 11 13 18

10 10 16 13 19 9 11 15 15 15 7 8

8 12 17 13 6 9 11 9 7 7 14 14

13 11 17 12 7 15 9 12 18 16 14 15

17 19 29 18 16 48 16

17 37 17 16 18 15 38

19 19 44 26 15 25 17

16 17 18 19 15 37 54

52 47 76 65

20 25 35 56

38 32 52 40

34 38 62 74

28 24 28 18 14 38 18 16

29 29 31 43 27

PAGE

1. 2. 3. 4. 5. 6. 7.

PAGE

1. 2. 3. 4. 5. 6. 7.


72 69 99 81 93 63 111

48 53 52

80 60 68

97 94 34

76 92 72 98 82 116 112

85 83 72 97 89 137 133

97 83 64 81 64 82 131

71 41 75 90 77 80 48

31 661 511 863 508 895 827 1,362

328 798 723 963 733 851 1,164

419 715 603 971 423 931 661

876 841 698 591 710 610 932

487 283 965 665 910 543 1,083

32

3,578 7,790 8,577 2,201 4,095 7,315 4,271 7,006

4,914 3,094 3,397 9,000 8,003 3,522 6,791 8,981

2,082 6,581 7,416 2,782 8,930 2,354 1,422 8,155,

6,655 5,249 6,560 7,626 5,702 4,212 4,703 8,287

8,814 2,801 4,504 7,100 9,897 4,450 9,494 7,241

33

1. 17,401 84,041 2. 22,368 35,560 3. 66,451 17,082 4. 44,558 34,220 5. 70,929 60,057 6. 29,059 68,351 7. 86,208 30,622 8. 89,920 41,076 PAGE

92 76 92

30

182 434 610 835 1,008 361 1,018

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

61 32 80

61 53 90 80 64 118 101

PAGE

27 10 6 10 14 16 20 6 14 12 11 16 17

5. 50 6. 77 7. 67

32,251 70,637

59,300

41,307 52,150

69,021

26,278 40,610

34,669

54,265 86,641

28,433

77,744 21,716

43,701

96,073 84,159

60,807

38,928 53,445

83,689

89,608 81,804

97,121

139

35

1. 3,453,132 6,542,913 2. 1,505,814 7,332,059 3. 6,152,387 1,963,421 4. 8,163,312 9,550,082 5. 7,250,750 6,473,072 6. 1,820,639 8,471,252 7. 9,156,100 2,525,172 8. 3,010,702 10,141,177 PAGE

1. 2. 3. 4. 5. 6. 7. 8.

PAGE

92 448 4,320 1,315 914 8,171 8,919 13,705

355,743 282,880

2 6 8 3 2 6 7 6 6 3 1

460,305 1,002,526

PAGE

39

116,244 642,034 962,307 343,005

878,406 680,617 844,495 735,064 837,120

1. 2. 3. 4. 5. 6. 7.

21 10 61 75 56 83 42

6,210,220 7,451,168 5,770,164 2,728,050 10,022,423 6,926,421 8,324,430

134 952 8,727 953 1,227 5,460 14,714 16,023

80 700 9,688 861 1,241 2,316 6,122 11,357

111 464 2,530 1,232 1,240 4,240 13,612 14,103

87,042 39,834 84,039 155,380 788,213 514,281 803,490 1,113,615 1,329,063 1,139,383 3,122,096 4,729,385 3,968,416 9,091,701 8,240,699 17,561,918

75,018 92,844 607,540 1,192,702 4,001,039 8,609,008 7,046,191 11,597,138

38

8 6 1 9 4 7 0 6 8 3 1

244,711 500,005

2,038,022

37

1. 31,305 21,728 2. 72,365 68,240 3. 397,009 217,132 4. 774,184 780,628 5. 4,192,806 8,221,722 6. 7,711,592 9,238,220 7. 3,127,305 5,453,487 8. 4,935,282 8,960,962 PAGE

7,321,614 4,915,511 2,916,130 9,107,273 5,243,123 2,228,403 4,017,551 6,658,102 8,614,255 9,319,135 2,872,239 4,084,620 2,299,753 6,700,339 9,825,885 13,262,132

36

132 877 1,357 711 1,138 3,300 9,925 8,049

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

34

1. 153,146 905,787 301,064 2. 750,849 846,803 216,532 3. 175,902 880,148 600,078 4. 833,011 436,602 561,201 5. 199,111 228,154 656,601 6. 741,712 594,349 309,940 500,182 7. 339,066 444,655 1,010,161 8. 726,742 806,981 300,731

PAGE

14 37 22 80 22 70 23

10 2 7 3 0 5 9 3 8 4 7

4 4 7 9 5 4 1 5 10 3 5

2 2 4 5 8 6 9 11 6 10 7

9 12 5 16 1 9 11 0 7 7 13

20 42 32 61 30 32 65

33 11 50 15 82 95 14

41 23 11 32 23 50 90

54 42 46 41 94 11 71


Answer Key PAGE

1. 2. 3. 4. 5. 6. 7.

19 78 27 37 19 74 47

PAGE

40 28 37 56 86 47 26 87

11 15 38 20 9 36 18

37 62 8 66 22 6 32

47 29 16 29 91 19 79

65 8 46 74 68 77 38

41

1a. 12+10=22 or 10+12=22, 22-10=12 or 22-12=10 1b. 16+14=30 or 14+16=30, 30-14=16 or 30-16=14 1c. 11+8=19 or 8+11=19, 19-8=11 or 19-11=8 2a. 23+22=45 or 22+23=45, 45-22=23 or 45-23=22 2b. 18+8=26 or 8+18=26, 26-8=18 or 26-18=8 2c. 7+9=16 or 9+7=16, 16-9=7 or 16-7=9 3a. 22+15=37 or 15+22=37, 37-15=22 or 37-22=15 3b. 30+20=50 or 20+30=50, 50-20=30 or 50-30=20 3c. 30+12=42 or 12+30=42, 42-12=30 or 42-30=12 4a. 48+13=61 or 13+48=61, 61-13=48 or 61-48=13 4b. 45+27=72 or 27+45=72, 72-27=45 or 72-45=27 4c. 19+10=29 or 10+19=29, 29-10=19 or 29-19=10 5a. 42+41=83 or 41+42=83, 83-41=42 or 83-42=41 5b. 33+16=49 or 16+33=49, 49-16=33 or 49-33=16 5c. 57+10=67 or 10+57=67, 67-10=57 or 67-57=10 6a. 31+25=56 or 25+31=56, 56-25=31 or 56-31=25 6b. 44+33=77 or 33+44=77, 77-33=44 or 77-44=33 6c. 70+20=90 or 20+70=90, 90-20=70 or 90-70=20 PAGE

1. 2. 3. 4. 5. 6.

36 73 84 28 16 27

PAGE

1. 2. 3. 4. 5. 6. 7.

14 6 25 9 17 55 57

PAGE

57 96 72 33 9 28

81 100 77 39 25 24

8 8 16 16 11 9 27

25 17 23 15 7 13 17

561 668 87 466 748 378

259 225 248 209

27 14 27 19 18 9 19

13 8 63 38 16 19 37

108 759 21

239 136 249


378 535 58 469

196 87 187 469

1,195 4,087

1,943

1,398

3,877 6,839

5,788

8,126

6,397 1,027

4,254

1,089

4,763 2,982

8,278

3,462

4,953 5,289

377

5,858

67

5,837

107

2,439 983

1,986

3,636 2,688

975

1,449

2,509

46

54,133 41,782 69,792 29,172 34,092 45,327 7,808 10,759

PAGE

786 409 139 99

5,804

73,078 24,037 62,957 72,911 66,171 23,008 9,051 41,348

30,353 10,932 23,066 14,799 5,980 24,552 14,420 8,899

27,394 49,852 8,811 48,699 12,694 37,291 13,946 25,558

64,954 30,375 39,059 58,460 6,811 35,810 447 36,975

47

1. 213,476 473,357 2. 102,211 680,328 3. 514,756 856,789 4. 580,057 47,127 5. 216,909 728,837 6. 497,069 9,758 7. 284,707 199,479 8. 213,990 244,898

54 84 94 4 47 19

28 157 379 189

45

1. 3,384 6,858 2. 2,061 4,121 3. 5,166 2,674 4. 6,772 8,698 5. 3,229 543 6. 1,069 1,847 7. 4,495 851 8. 3,646 2,358

PAGE

44

1. 472 348 2. 858 247 3. 49 169

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

43 17 17 26 26 36 27 25

138 88 185 188

PAGE

42 70 65 91 4 25 16

4. 5. 6. 7.

640,061 365,108 541,098 314,672 853,784 425,853 228,649 726,519 299,691 390,261 501,707 208,191 46,613

353,750 492,085

134,149 377,701 104,979 92,929 59,008

145,816 689,949 218,656 155,877

48

1. 1,342,581 2,049,966 2. 4,224,178 3,114,889 3. 2,725,179 7,613,837 4. 5,634,721 7,136,297 5. 6,275,867 3,088,869 6. 1,276,982 1,849,029 7. 5,769,810 778,354 8. 4,173,372 4,358,488

3,145,514 5,163,369 7,351,752 1,344,987 9,316,701 8,317,068 3,690,874 9,737,119 3,990,786 5,134,206 4,070,108 5,193,511 2,496,739 2,963,355 63,087 1,896,789

140

8,115,367 6,479,599 5,399,908 1,571,479 1,847,823 4,049,198 178,484 888,724

PAGE

49

1. 7 2. 67 165 3. 258 8,994 4. 5,615 1,278 5. 5,391 4,388 6. 8,629 7,179 7. 5,784 1,236 8. 1,749 5,889 PAGE

26 353

1. 2. 3. 4.

48 497

6,065 1,775 377

3 17 665 776

7,151 2,947 1,939 6,341 8,654 1,238

7,999 4,642

6,505 3,851

2,723 1,839

29

4,179 1,689 888

437

6

1,043 4,448

50

1. 43,477 59,988 2. 10,070 3,599 3. 810,269 429,371 4. 515,899 485,501 5. 2,455,328 5,246,649 6. 6,137,780 2,579,327 7. 6,468,075 4,991,769 8. 1,284,885 8,055,406 PAGE

58 255

20,782 52,085 77,933 88,354 651,279 205,364 554,063 589,909 1,266,235 9,234,918 7,846,225 8,434,798 2,148,139 3,469,260 2,162,668 1,468,609

32,337 55,108 562,289 303,975 4,099,805 3,393,834 688,829 2,787,255

51

15 pounds 127 pages 1,201 miles 1,920 pelicans and seagulls

PAGE

52

1. $71,332 2. 785 feet 3. 3,897 seats PAGE

4. 838,975 square miles 5. 308,889 people

53

1. 224 baseball cards 4. 17,398 women 2. 1,449 miles 5. $68,000 3. 1,363 pages PAGE

54

1. 121 14 2. 166 507 3. 27 1,209 4. 2,104 5,346 5. 7,678 7,213 6. 8,333 4,661 7. 8,631 12,401 8. 9,839 1,797

37

16

70

146

490

749

257

434

153

830

1,223 239

4,415 6,416

7,272 3,200

6,060 963

3,305 3,766

2,476 7,022

4,787 3,485

484

3,041

4,727 908

8,022

276

9,037 4,878


PAGE

55

PAGE

1. 35,384 61,989 2. 32,176 11,404 3. 632,304 457,516 4. 759,314 874,005 5. 387,069 903,442 6. 6,404,609 4,427,793 7. 7,769,405 6,316,259 8. 7,387,217 4,440,746 PAGE

1. 2. 3. 4.

PAGE

2 3 3 6 4 8 5

PAGE

4/5 3/4 2/5 1/2 1/4 3/5

340,095 34,887 2,086,485 6,437,800 3,686,692

PAGE

2/3 1/5

5/7 11/12 7/9 3/6=1/2

7/10 5/8 3/11 10/12=5/6

1 4 4 8 6 2 9

4 2 9 7 5 7 7

2/3 5/9 7/10 2/5 1/8 1/3 2/7

4/5 11/12 5/8 6/7 2/5 3/11 1/2

60 5/8 4/11 5/8 3/4

3. 1/4 1/9 2/7 4. 1/3 7/10 1/8

61 5 1/3 1 5/9 1/4 5 1/11 4 1/3 1 3/4 1 7/11

1 1/12 4 3 5/7 1 2/5 4/7 4 1/2 5 1/4

62

2/7 of the week Yes (he has 1 5/8 boxes) 1/4 of the year 4/9 of the book 6 3/8 cakes

PAGE

1/2 1/3

59 7/8 3/7 3/4 4/9 1/2 1/12 5/8

3 3/8 2 2/7 2 1/8 3 2/9 1 5/8 1/6 7/9

PAGE

4. 1/4 5. 2/3

63

1. 5 1/2 pizzas 2. 3 1/2 miles 3. 2 7/12 years

4. 1 3/4 hours 5. 8 1/7 weeks


1. 2. 3. 4. 5. 6. 7.

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 9.

PAGE

15 4 25 24 40 16 21 18

6 32 24 0 12 48 36 42

6 20 45 30 8 28 36 45

16 21 10 24 20 12 16 10

12 9 10 27 0 15 35 56

68 10 40 12 48 14 56 16 64

15 45 18 54 21 63 24 72

20 50 24 60 28 70 32 80

25 55 30 66 35 77 40 88

30 60 36 72 42 84 48 96

69

9 63 10 70 11 77 12 84

PAGE

PAGE

18 72 20 80 22 88 24 96

27 81 30 90 33 99 36 108

36 90 40 100 44 110 48 120

45 99 50 110 55 121 60 132

54 108 60 120 66 132 72 144

70

210 279 98 184 531 259

48 184 336 150 34 752

112 264 292 152 180 130

141

371 75 108 435 196 144

70 252 558 357 231 258

133 416 280 54 390 435

1,748

3,762 1,466

2,513

1,360 2,589 1,964

4,840

4,368 1,195 432

3,244

2,212 3,374 2,844

452

2,335 2,024 1,386

2,220

544

17,852 7,524 12,860 30,865 16,281 9,256 19,410 17,529 23,295 61,152 36,852 24,738

18,471 21,315 19,736 8,562 8,312 23,556 9,372 18,730 46,926 7,455 38,160 13,842

1,104 196 1,522 32,412 148 3,035 5,208 65,352 61,894 10,085 4,540 3,465

171

39,200

184

1,296

4,974

45,944

1,351

230

1,890

4,698

12,381

801

1,173 648 798 1,260 1,012 1,152 1,369 1,204 1,092 455 285 1,128

960

806

3,710

2,052

1,785

2,444

336

2,494

621

2,438

837

2,288

1,476

2,080

644

2,745

507

2,272

414

2,632

6,450

2,538

1,053

2,560

74

1. 672 1,935 2. 675 1,240 3. 884 345 4. 1,680 1,368 5. 2,048 3,600 6. 1,344 2,090 PAGE

1,740

73

1. 190 1,226 2. 57,505 291 3. 4,347 288 4. 12,690 522 5. 468 448 6. 8,004 1,528 PAGE

1,055 292

72

1. 13,830 25,215 2. 51,338 14,550 3. 18,024 48,150 4. 24,310 5,188 5. 3,642 46,881 6. 41,632 33,824

67

5 35 6 42 7 49 8 56

1. 2. 3. 4. 5. 6.

7/8 11/12 7/8 5/11

66

8 9 0 18 14 18 0 49

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

65 5 5 1 6 9

71

1. 975 3,410 2. 3,256 723 3. 1,036 1,015 4. 3,330 4,496 5. 5,652 5,040 6. 1,566 5,691

24, Associative Property 16, Distributive Property 16, Commutative Property 33, Distributive Property 20, Associative Property 36, Commutative Property Answers will vary Answers will vary Answers will vary

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

PAGE

6/9=2/3 2/8=1/4 3/6=1/2 4/10=2/5 8/12=2/3 6/8=3/4 1/3 5/12 1/2 8/9 5/6 1/2 5/8 2/3

3 4/5 1 1/2 4 4/11 3 7/9 8 10 1/5 9 1/2 3 1/3 3/4 2 7 7/8 pies 3/4 year 6 3/5 miles

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

64

5/10=1/2 9/12=3/4 3/9=1/3 6/7 3/4 7/11 4/5

PAGE

58

1. 5/9 2. 1/6

1. 2. 3. 4. 5.

216,136

57

8/9 5/6 6/7 9/10

PAGE

1. 2. 3. 4. 5. 6. 7.

28,368

56

1. 1/2 2. 1/3 3. 1/2

1. 2. 3. 4. 5. 6. 7.

72,132

2/3=4/6 2/5=4/10 3/4=6/8 5/10=1/2 3/12=1/4 3/9=1/3 4/12=5/15 4/8=5/10 2/8=1/4 4/6=2/3

PAGE

1. 2. 3. 4.

43,032 50,418 81,318 100,172 541,947 800,127 326,192 204,384 918,610 117,494 1,541,114 9,809,428 4,083,539 418,235 8,586,856 2,367,809

75

1. 1,575 400 2. 2,736 2,160 3. 306 2,280 4. 1,700 608 5. 1,431 609 6. 2,021 1,176

720 456 918 1,505 1,664 3,763 884 2,960 836 3,596 3,348 3,375


Answer Key PAGE

76

PAGE

1. 2,422 11,970 2. 32,715 3,850 3. 23,460 13,662 4. 33,060 28,982 5. 21,620 27,192 6. 23,004 18,816 PAGE

14,580 8,520 26,413 4,232 37,152 9,177 27,885 4,810 59,440 48,075 31,424 49,308 19,872 10,773 6,096 21,525 24,384 15,538 14,789 10,900 13,244 26,850 60,060 65,930 2,695 790 6,165 1,456 1,122 272 4,110 6,671 1,596 1,121 8,970 2,210

1. 2. 3. 4.

4 4 3 6

41,350 19,512 6,636

4,128

25,788

19,072

8,721

26,568

666 855 5,185 1,080 4,888 282 27,466 5,103 413 6,720 15,276 12,428

25,840

59,840

28,956

22,790

1. 2. 3. 4. 5. 6. 7. 8.

24,720

15,433

32,648

35,868

5,456

37,960

7,490

8,944

3 5 4 4

2 2 1 5

3 4 6 8

4 7 5 9

1 7 1 7 1 7 1 7

PAGE

4,408

40,670

6,525

498

224

7,533

1,118

2,724

236

207

2,951

4,122

1,710

1,176

10,900

504

1,134

384

1,771

10,034

558

18,430

9,984

7,640

1,748

1,134

5. 6. 7. 8.

5 1 9 3

4 4 8 9

5 3 6 2

9 2 7 8


2 3 3 1

81 2 8 2 8 2 8 2 8

PAGE

3 9 3 9 3 9 3 9

4 10 4 10 4 10 4 10

5 11 5 11 5 11 5 11

6 12 6 12 6 12 6 12

82 2 8 2 8 2 8 2 8

3 9 3 9 3 9 3 9

4 10 4 10 4 10 4 10

5 11 5 11 5 11 5 11

6 12 6 12 6 12 6 12

83

1a. 2x8=16 or 8x2=16, 16÷8=2 or 16÷2=8 1b. 5x6=30 or 6x5=30, 30÷6=5 or 30÷5=6 1c. 4x8=32 or 8x4=32, 32÷8=4 or 32÷4=8 2a. 3x9=27 or 9x3=27, 27÷9=3 or 27÷3=9 2b. 4x7=28 or 7x4=28, 28÷7=4 or 28÷4=7 2c. 6x9=54 or 9x6=54, 54÷9=6 or 54÷6=9 3a. 5x9=45 or 9x5=45, 45÷9=5 or 45÷5=9 3b. 6x12=72 or 12x6=72, 72÷12=6 or 72÷6=12 3c. 7x11=77 or 11x7=77, 77÷11=7 or 77÷7=11 4a. 6x8=48 or 8x6=48, 48÷8=6 or 48÷6=8 4b. 8x10=80 or 10x8=80, 80÷10=8 or 80÷8=10 4c. 7x9=63 or 9x7=63, 63÷9=7 or 63÷7=9 5a. 9x9=81, 81÷9=9 5b. 5x12=60 or 12x5=60, 60÷12=5 or 60÷5=12 5c. 7x8=56 or 8x7=56, 56÷8=7 or 56÷7=8 6a. 10x11=110 or 11x10=110, 110÷11=10 or 110÷10=11 6b. 8x9=72 or 9x8=72, 72÷9=8 or 72÷8=9 6c. 11x12=132 or 12x11=132, 132÷12=11 or 132÷11=12

80 5 7 6 6

1 7 1 7 1 7 1 7

PAGE

79

1. 3,255 1,092 2. 1,932 1,578 3. 9,200 133 4. 1,360 6,184 5. 2,646 840 6. 22,981 36,358 PAGE

1. 2. 3. 4. 5. 6. 7. 8.

78

1. 116 168 2. 11,772 1,820 3. 267 10,845 4. 2,464 1,248 5. 1,408 198 6. 19,084 32,877 PAGE

14,856

77

1. 7,490 36,134 2. 41,860 63,720 3. 3,836 10,665 4. 57,368 11,703 5. 15,418 9,288 6. 4,446 9,156 PAGE

25,056

9 7 8 8

PAGE

1. 2. 3. 4. 5. 6.

92 78 76 12 17 23

84 85 90 216 62 13 27

78 86 76 11 21 11

142

93 90 12 28 38 3

98 204 84 14 33 25

1. 2. 3. 4. 5. 6.

PAGE

1. 2. 3. 4. 5.

1. 2. 3. 4. 5. 6.

21 18 16 13 13 19

12 26 18 31 33 12

69 197 134 79 362

32 22 124 236 99

62 57 245 46 55

87 1,535 427 1,461 836 2,430 262

362 1,258 1,192 2,087 729 817

339 1,966 1,229 597 2,978 1,221

25 19 320 252 2,157 1,597

8 18 99 188 1,292 1,884

17 16 120 385 652 2,583

89 37 19 121 158 229 58 368 56 926 1,224 1,724 925

13 146 199 515 987 934

10 277 99 27 936 2,807

90

91

1. $309 2. 3,945 miles 3. 540 days PAGE

4. 408 flowers 5. $570

92

11,009 more people $9,300 63 pages 6,957,000 people $395

PAGE

1. 2. 3. 4. 5.

36 26 83 33 319 496

192 eggs 14 times 544 pages $6,625 43 geese 15,750 calories 119 pages

PAGE

1. 2. 3. 4. 5.

741 352 1,562 886 585 551

88

9 32 147 2,860 857 293

PAGE

1. 2. 3. 4. 5. 6. 7.

44 317 87 76 81

8 53 36 147 492 4,122

PAGE

19 29 15 24 17 19

86

247 3,385 1,373 937 884 1,882

PAGE

1. 2. 3. 4. 5. 6.

12 18 38 11 10 16

48 49 37 251 89

PAGE

1. 2. 3. 4. 5. 6.

85

31 14 9 15 24 42

93

135 12 211 3,270 523 28,062 6. 25,239

12 16 2,133 142 10,230

16 190 159 5,526 66,157

141 608 2,526 92 1,275

6 259 87 2,520

294

2,167 1,406 21,413


PAGE

94

1. 2. 3. 4.

155 1,752 57 33,600 6,264 5. 729 6. 61,992 22,638 PAGE

1. 2. 3. 4. 5. 1. 2. 3. 4. 5.

$9.76

$13.25 $11.76 $11.40 $9.54 $15.11

$10.23 $13.03

$24.00

$16.71

$23.99 $11.03

$73.00

$11.05 $38.39

$81.00

$4.22 $1.34 $5.21 $1.40 $0.42 $3.03 $7.41 $11.12 $1.08 $1.81 $11.08 $3.55 $2.67 $3.75 $2.72 $3.63 $20.16 $9.29 $0.49 $14.06 $13.37 $0.48 $5.79 $42.00

$32.88

$18.08

$52.20

$43.12

$36.25

$60.57

$4.16

$26.04

$45.00

$15.52

$45.90

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

$86.59

$62.72

$215.70 $52.38 $342.63

$2.09 $2.43 $0.82 $1.54 $4.87

$0.91 $0.56 $1.94 $1.24 $1.63

$1.20 $0.93 $1.09 $2.64 $11.52

99

100

$12.99 $3.07 $3.30 $5.74 $16.49


$0.71 $0.88 $1.97 $1.72 $3.14

1. 2. 3. 4. 5. 1. 2. 3. 4. 5. 1. 2. 3. 4. 5. 6. 7. 8.

$2.19

$64.47

$2.68

$14.98

$109.48 $0.48

$7.24

1. 2. 3. 4. 5.

8

8

7. 2,000

14 7 54 11 32

48 8. 144 36 9. x 98 10. 605 11. + 70 12. x

504 573 + x ÷ -

44 ÷ + ÷

64÷n=8 n-72=105 41n=369 2n-13=35 50+n=6x10 17n-63=141 21n-65=124 8n+5,245=5,325

39 16 36 54 28

21 83 69 183 29

6. 7. 8. 9. 10.

232 92 152 901 180

268 65 102 20 573

76 41 308 188 837

106 323 32 208 49 713

12 6. 184 7. 11 8. 360 9. 26 10.

143 42 918 56 12

37 576 81 18 840

107

add 7 multiply by 2 divide by 3 add 150 divide by 2 add 300 subtract 40 subtract 250

143

subtract 5 add 23 subtract 17 multiply by 5 subtract 45 divide by 4 multiply by 3 divide by 5

500 73 1,026 112 19

110

111

58 8 10 x

7 212 175 ÷

9. 4; 256 10. 625; 125 PAGE

1. 2. 3. 4.

T T oz lb

PAGE

113

g kg mg g

PAGE

1. 2. 3. 4. 5. 6. 7.

5. 6. 7. 8.

22 112 172 319

396 56 36 348

12 25 304 31

100; 10,000 3,807; 3,407

mg g kg kg

5. 6. 7. 8.

14 oz 2T 12 oz 8 lbs

10 lbs 5 lbs 3T 6T

5. 6. 7. 8.

60 kg 10 g 1 mg 80 kg

100 600 200 500

mg kg g mg

114

1. 2 g 2. 4 T 3. 8 lbs 4. 6 kg 5. 7 kg 6. 3 g 7. 53 oz 8. 9,125 mg 9. 1 T 10. 3 lbs PAGE

61 348 520 -

112

lb oz oz T

1. 2. 3. 4.

4. n-12=58 5. n= 2x123

4n=84, n=21 degrees 573+n=2,346, n=1,773 miles n=9x15, n=$135 n=18+14, n=32 dandelions 5n=4,125, n=825 kilograms

PAGE

1. 2. 3. 4.

4. 200; 425; 500 5. 16; 32; 256 6. 490; 175; 70

109

1. n-13=27 2. 96+n=138 3. n+47=170 PAGE

105

15 104 31 340 8

PAGE

$258.03 $29.88

104

8 57 41 9 43

PAGE

7. 12/red, 18/yellow, 30/red, 36/yellow, 48/red, 54/yellow, 66/red, 72/yellow, total = 72 beads 8. 200/sprint, 600/jog, 800/sprint, 1,200/jog, 1,400/sprint, 1,800/jog, 2,000/sprint, 2,400/jog, 2,600/sprint, 3,000/jog, total = 3,000 meters

$28.37

15+n=32 36n=468 n÷9=23 n-76=34 15n=345 16+3n=49 n÷5+115=131 n-2,600=3,200

PAGE

$59.71

$4.54

$11.91

108

1. 576; 72; 36 2. 3; 81; 729 3. 2,005; 1,105; 505

103

1. 13 1,730 2. 8 3. 102 4. 57 5. 629 6. 528

PAGE

$17.98

PAGE

$9.94 $1.27 $2.38 $5.09 $10.82

102

1. $2.89 $162.88 2. $95.85 $61.61 3. $19.69 $70.81 4. $46.29 $185.40 5. $14.22 6. $14.18 PAGE

$15.88 $6.39 $1.23 $19.22 $10.38

PAGE

1. 2. 3. 4. 5.

$8.78

101

1. $21.66 $5.41 $1.23 2. $10.17 $0.77 $36.42 3. $1.18 $6.39 $21.35 $59.52 4. $0.62 $13.80 $4.77 $14.05 5. $14.58 6. $15.63 PAGE

$6.47

98

$0.31 $0.32 $1.42 $1.77 $1.67

PAGE

10,741 40,373 869 3,677 468 65,688 1,225

97

1. $15.96 $18.39 2. $17.04 $27.72 3. $25.62 $71.52 4. $15.78 $38.01 5. $94.68 $29.25 6. $123.10 $50.60 PAGE

93 142 45 5,976 3,840 403 63,075

96

1. $2.22 2. $3.51 3. $1.82 $0.46 4. $0.71 5. $12.82 6. $3.68 PAGE

2,584 2,520 2,688 2,084

95

1. $4.69 $8.77 2. $7.99 $7.18 3. $9.50 $18.85 4. $10.50 $3.98 5. $24.59 $32.91 6. $21.53 $41.16 PAGE

PAGE

1,246 92 118 429

3 lbs 5 kg 9,000 mg 10,000 lbs 80 oz 200 mg 5,300 g 10 lbs 1000 lbs 2 oz

8T 4g 520 mg 7,017 g

115

1 kg 300 g 8 T 100 lbs 44 lbs 2 oz 11 kg 15 T 2 kg 100 g 8 lbs 5 oz 4 T 1,370 lbs

23 lbs 1 oz 16 g 8 mg 1 g 400 mg 290 lbs


Answer Key 116

PAGE

1. 2. 3. 4. 5.

2 2 2 5 7

hours hours hours hours hours

PAGE

117

1. 2. 3. 4. 5. 6. 7. 8.

2 minutes 3 days 21 days 120 minutes 3 weeks 4 days 63 hours 1 minute 2 seconds 4 hours 10 minutes 3 1 5 1

hours 5 minutes hour 30 minutes hours 25 minutes hour 20 minutes

PAGE

1. 2. 3. 4.

2 weeks 180 minutes 6 minutes 1 day 12 hours 300 seconds 230 minutes 3 days 18 hours 23 days

118

PAGE

1. 2. 3. 4.

PAGE

10 minutes 35 minutes 35 minutes 5 minutes 30 minutes

119

ft yd ft in

mile in yd mile

PAGE

120

1 ft 8 in 20 yd 170 miles

5 yd 1,500 miles 4 in 6 ft

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

3 ft 3 ft 4 in 1 mile 9 yd 7 ft 5 ft 7 in 10 ft 1 in 6 yd 1 ft 100 in 4 yd

PAGE

1. 2. 3. 4.

3 yd 5 yd 2 ft 5 ft 2 ft 2 in 3 yd 1 ft 5 yd 4 ft 4 in 1 yd 30 ft 10,560 ft 5. 6. 7. 8.

9 ft 7 in 26 ft 19 yd 1 ft 13 yd

7 cm 7 cm 8 mm 10 cm 9 km 2 m 10 cm 925 cm 6 km 200 m 92 cm 53 mm 321 cm 9 km 203 m 3,043 m

126

1. 4 cm 3 mm 2. 2 m 10 cm 3. 8 km 100 m 4. 67 m 60 cm 5. 10 m 38 cm 24 cm 2 mm 6. 12 km 290 m17 m 7. 20 cm 43 km 100 m 8. 31 m 54 cm 8 mm 9. m 13 cm 2 mm 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

127

24 mm or 2 cm 4 mm 60 yd 56 in 72 m 150 ft 1,500 m or 1 km 500 m 240 cm or 2 m 40 cm 52 ft 105 cm or 1 m 5 cm 1,100 m or 1 km 100 m

128

1. 2. 3. 4.

90 ft 144 cm 140 m 18 ft 2 in 47 m 84 cm 83 ft 10 in 4,040 ft 43 ft 150 cm or 1m 50 cm 26 in or 2 ft 2 in 5. 2 m 77 cm 29 ft 7 in 87 cm 4 mm 6. 25 in or 2 ft 1 in PAGE

1 ft 9 in 2 miles 28 ft 1 in 35 ft 3 in

123

km cm km mm 1.5 m 20 cm 1,600 km 20 m

PAGE

PAGE

PAGE

122

5 ft 1 in 19 ft 3 in 8 yd 1 ft 1 mile

PAGE

1. 2. 3. 4. 5. 6. 7. 8.

121

125

4 km 9m 8m 7 cm 8 mm 5,000 m 350 mm 1m 7,500 m 76 cm 2 mm 9,347 mm

PAGE

5. 6. 7. 8.

Answers will vary. PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

cm mm m m 500 km 20 m 60 cm 5 km

124

129

1. 2. 3. 4. 5. 6. 7.

area=216 sq yd area=784 sq m perimeter=172 cm length=44 ft, area=1,628 sq ft width=83 cm, area=6,889 sq cm 8 ft 6 in width=1 cm 1 mm, perimeter=4 cm 6 mm 8. length=3 ft 5 in, perimeter=13 ft 8 in, area=1,681 sq in PAGE

1. 2. 3. 4.

PAGE

1. 2. 3. 4. 5.

PAGE

1. 2. 3. 4. 5. 6.

134

135

200 mg 40 lbs 2 min 4 yd 11 oz 12 cm 3,800 km 180 kg 1.5 hrs 11 in 51 kg 200 g 33 ft 133 m 1 cm 1 hr 16 min 18 sec 82 ft 3 in

PAGE

1. 2. 3. 4. 5. 6. 7.

133

152 cm or 1 m 52 cm 6 bags of flour 6 pieces 12 minutes 48 seconds 17,280 cubic in

PAGE

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

132

4 hours 40 minutes 168 sq ft 9 lbs 15 oz 440 yd 25 m 15 cm

PAGE

1. 2. 3. 4. 5.

1,000 cubic ft 336 cubic m 1,183 cubic yd

1,728 cubic m 480 cubic ft 1,190 cubic cm 4,232 cubic yd 6,750 cubic m 27,000 cubic in 8,448 cubic ft 4,788 cubic m 1,008 cubic ft Janine’s and Francine’s lunch boxes are both 4 inches high.

PAGE

1. 2. 3. 4. 5.

131

280 cubic cm 125 cubic mm 1,980 cubic ft 48 cubic ft 3,888 cubic cm

13 hrs 12 min 12 lbs 2 oz 131 g 110 mg 63 lbs 1 oz 59 km 300 m

136

Perimeter 28 in 44 cm 92 ft 120 cm 64 m 64 in 154 m

Area 49 sq in 120 sq cm 385 sq ft 756 sq cm 255 sq m 207 sq in 882 sq m

Volume 343 cubic in 1,800 cubic cm 3,080 cubic ft no volume 4,590 cubic m 5,175 cubic in no volume

130

82 sq in 1,911 sq m 855 sq yd 875 sq cm

657 sq cm 1,620 sq ft 1,792 sq m 564 sq ft

Answers will vary.


144


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Math Skills Maintenance Workbook: Course 3

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Building Vocabulary Skills and Strategies Level 8

Building Vocabulary Skills and Strategies Level 7

Essential Math Skills for Engineering, Science and Appl Math

Test Taking Strategies & Study Skills for the Utterly Confused

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Math Skills Maintenance Workbook: Course 3

Problem-solving strategies (for math olympiads)

Numerical Mathematics & Scientific Computation

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