Practice Workbook, Grade 5 (PE)

1 Practice Workbook P U P I L'S E D I T I O N. G ra d e 5. Orlando Boston Dallas Chicago San Diego Copyright by Harcourt, Inc. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Permission is hereby granted to individual teachers using the corresponding student's textbook or kit as the major vehicle for regular classroom instruction to photocopy complete student pages from this publication in classroom quantities for instructional use and not for resale. Duplication of this work other than by individual classroom teachers under the conditions specified above requires a license. To order a license to duplicate this Harcourt work in greater than classroom quantities, contact Customer Service, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, Florida 32887-6777.

2 Telephone: 1-800-225-5425. Fax: 1-800-874-6418 or 407-352-3445. HARCOURT and the Harcourt Logo are trademarks of Harcourt, Inc. Printed in the United States of America ISBN 0-15-320663-2. 2 3 4 5 6 7 8 9 10 073 2003 2002 2001. CONTENTS. Add and Subtract Decimals .. 18. Unit 1: USE WHOLE NUMBERS AND. Zeros in Subtraction .. 19. DECIMALS. Problem Solving Skill: Estimate or Chapter 1: Place Value of Whole Find Exact Answer .. 20. Numbers Understand Millions .. 1 Unit 2: ALGEBRA, DATA, AND. Millions and Billions .. 2 GRAPHING. Compare Numbers .. 3. Order Numbers .. 4 Chapter 5: Algebra: Use Addition Problem Solving Skill: Expressions and Variables .. 21. Use a Table .. 5 Write Equations .. 22. Solve Equations .. 23. Chapter 2: Place Value of Decimals Use Addition Properties .. 24. Tenths and Hundredths .. 6 Problem Solving Skill: Use and a Formula .. 25. Ten-Thousandths .. 7. Equivalent Decimals .. 8 Chapter 6: Algebra: Use Multiplication and Order Decimals.

3 9 Write and Evaluate Expressions .. 26. Problem Solving Skill: Draw Solving Strategy: Write Conclusions .. 10 an Equation.. 27. Use Multiplication Properties .. 28. Chapter 3: Add and Subtract Whole Distributive Property .. 29. Numbers Round Whole Numbers .. 11 Chapter 7: Analyze Data Estimate Sums and Differences .. 12 and Graphs Add and Subtract Whole Collect and Organize Data .. 30. Numbers .. 13 Find the Mean.. 31. Add and Subtract Greater Find the Median and Mode .. 32. Numbers .. 14 Problem Solving Strategy: Problem Solving Strategy: Use Make a Graph .. 33. Logical Reasoning .. 15 Analyze Graphs .. 34. Chapter 4: Add and Subtract Decimals Chapter 8: Make Graphs Round Decimals .. 16 Choose a Reasonable Scale .. 35. Estimate Decimal Sums and Solving Strategy: Differences .. 17 Make a Graph .. 36. Graph Ordered Pairs .. 37 Divide by 2-Digit Divisors .. 60. Make Line Graphs .. 38 Correcting Quotients .. 61. Histograms .. 39 Practice Division.

4 62. Choose the Appropriate Graph .. 40 Problem Solving Strategy: Predict and Test .. 63. Unit 3: MULTIPLY WHOLE NUMBERS. AND DECIMALS Chapter 13: Divide Decimals by Whole Numbers Chapter 9: Multiply Whole Numbers Algebra: Patterns in Decimal Estimation: Patterns in Multiples .. 41 Division .. 64. Multiply by 1-Digit Numbers .. 42 Decimal Division .. 65. Multiply by 2-Digit Numbers .. 43 Divide Decimals by Whole Multiply Greater Numbers .. 44 Numbers .. 66. Problem Solving Skill: Evaluate Problem Solving Strategy: Answers for Reasonableness .. 45 Compare Strategies: Work Backward or Draw a Diagram .. 67. Chapter 10: Multiply Decimals Divide to Change a Fraction Multiply Decimals and Whole to a Decimal .. 68. Numbers .. 46. Algebra: Patterns in Decimal Chapter 14: Divide Decimals by Decimals Factors and Products .. 47 Algebra: Patterns in Decimal Model Decimal Multiplication .. 48 Division .. 69. Place the Decimal Point .. 49 Divide with Decimals.

5 70. Zeros in the Product .. 50 Decimal Division .. 71. Solving Skill: Problem Solving Skill: Choose Make Decisions .. 51 the Operation .. 72. Unit 4: DIVIDE WHOLE NUMBERS. Unit 5: FRACTIONS, RATIO, AND DECIMALS. AND PERCENT. Chapter 11: Divide by 1-Digit Divisors Chapter 15: Number Theory Estimate Quotients .. 52. Divisibility .. 73. Divide 3-Digit Dividends .. 53. Multiples and Least Common Zeros in Division .. 54. Multiples .. 74. Divide Greater Numbers .. 55. Greatest Common Factor .. 75. Algebra: Expressions and Problem Solving Skill: Identify Equations .. 56. Relationships .. 76. Problem Solving Skill: Interpret Prime and Composite Numbers .. 77. the Remainder .. 57. Introduction to Exponents .. 78. Chapter 12: Divide by 2-Digit Divisors Evaluate Expressions with Algebra: Patterns in Division .. 58 Exponents .. 79. Estimate Quotients .. 59 Exponents and Prime Factors .. 80. Chapter 16: Fraction Concepts Add and Subtract Unlike Relate Decimals to Fractions.

6 81 Fractions ..104. Equivalent Fractions .. 82 Problem Solving Strategy: Compare and Order Fractions .. 83 Work Backward ..105. Simplest Form .. 84. Understand Mixed Numbers .. 85 Chapter 20: Add and Subtract Problem Solving Strategy: Mixed Numbers Make a Model .. 86 Add Mixed Numbers ..106. Mixed Numbers ..107. Subtraction with Renaming ..108. Chapter 17: Ratio with Mixed Numbers ..109. Understand Ratios .. 87. Problem Solving Skill: Multistep Express Ratios .. 88. Problems ..110. Equivalent Ratios .. 89. Scale Drawings .. 90. Chapter 21: Multiply Fractions Problem Solving Skill: Too Much/. Multiply Fractions and Whole Too Little Information .. 91. Numbers ..111. Multiply a Fraction by a Chapter 18: Percent Fraction ..112. Understand Percent .. 92. Multiply Fractions and Mixed Relate Decimals and Percents .. 93. Numbers ..113. Relate Fractions, Decimals, Multiply with Mixed and Percents .. 94. Numbers ..114. Find a Percent of a Number .. 95.

7 Problem Solving Skill: Sequence Mental Math: Percent of and Prioritize Information ..115. a Number .. 96. Problem Solving Strategy: Chapter 22: Divide Fractions Make a Graph .. 97 Divide Fractions ..116. Compare Data Sets .. 98 Reciprocals ..117. Divide Whole Numbers Unit 6: OPERATIONS WITH by Fractions ..118. FRACTIONS Divide Fractions ..119. Problem Solving Strategy: Chapter 19: Add and Subtract Fractions Solve a Simpler Problem ..120. Add and Subtract Like Fractions ..99 Unit 7: ALGEBRA AND GEOMETRY. Add Unlike Fractions ..100. Subtract Unlike Fractions ..101 Chapter 23: Algebra: Integers Estimate Sums and Integers ..121. Differences ..102 Compare and Order Integers ..122. Use Least Common Add Integers ..123. Denominators ..103 Subtract Integers ..124. Subtract Integers ..125 Metric Capacity and Mass ..148. Problem Solving Strategy: Time ..149. Draw a Diagram ..126 Problem Solving Strategy: Make a Table ..150. Chapter 24: Geometry and the Coordinate Plane Chapter 28: Perimeter and Area Graph Relationships.

8 127 Perimeter ..151. Graph Integers on the Algebra: Circumference ..152. Coordinate Plane ..128 Algebra: Area of Squares and Use an Equation to Graph ..129 Rectangles ..153. Problem Solving Skill: Relevant Relate Perimeter and Area ..154. or Irrelevant Information ..130 Algebra: Area of Triangles ..155. Algebra: Area of Chapter 25: Plane Figures Parallelograms ..156. Lines and Angles ..131 Problem Solving Strategy: Solve a Measure and Draw Angles ..132 Simpler Problem ..157. Angles and Polygons ..133. Circles ..134 Chapter 29: Surface Area and Volume Congruent and Similar Figures ..135 Nets for Solid Figures ..158. Symmetric Figures ..136 Surface Area ..159. Problem Solving Strategy: Algebra: Volume ..160. Find a Pattern ..137 Measure Perimeter, Area, and Volume ..161. Chapter 26: Classify Plane and Problem Solving Skill: Use Solid Figures a Formula ..162. Triangles ..138. Quadrilaterals ..139 Unit 9: PROBABILITY. Algebra: Transformations.

9 140. Solid Figures ..141 Chapter 30: Probability Draw Solid Figures from Probability Experiments ..163. Different Views ..142 Outcomes ..164. Solving Skill: Make Probability Expressed as Generalizations ..143 a Fraction ..165. Compare Probabilities ..166. Unit 8: MEASUREMENT Problem Solving Strategy: Make an Organized List ..167. Chapter 27: Customary and Metric Systems Customary Length ..144. Metric Length ..145. Change Linear Units ..146. Customary Capacity and Weight ..147. LESSON Name Understand Millions 1. A bowl holds 100 peanuts. How 2. How many cents would you have many bowls would hold a million saved if you saved one hundred peanuts? dollars? 3. If you save 10 a day, how many 4. If you eat 10 apples a month, how days would it take to save a many apples do you eat in a year? million cents? 5. If you read 100 pages a week, 6. If water pours into an empty fish how many weeks would it take pond at 10 gallons a minute, how you to read a million pages?

10 Many minutes does it take to fill the 10,000 gallon pond? 7. How many dimes are in one 8. If you earn $10 a week, how hundred dollars? many weeks would it take to earn one hundred dollars? Mixed Review 9. 17 98 10. 85 58 11. 56 7. 12. 25 5 13. 95 2 14. 11 2. 15. 237 16. 468 17. 314 18. 324 19. 418. 63 9 9 32 21.. Harcourt 20. 603 21. 257 22. 354 23. 716 24. 480. 27 5 236 931 139.. Practice PW1. LESSON Name Millions and Billions Write the value of the boldfaced digit. 1. 301,724,469 2. 426,379,831 3. 234,567,890. 4. 189,612,357 5. 521,874,394 6. 3,794,216,055. Write each number in two different ways. 7. 125,740,689. 8. 200,403,926. 9. 5,248,663,711. 10. eight hundred ninety-five million, four hundred six thousand, two hundred twenty-five Mixed Review Harcourt Write the factors. 11. 15 12. 36 13. 27. Solve. 14. Write the next 3 numbers in 15. Write the value of the this pattern. 8, 12, 16, 20 boldfaced digit in 745,229. PW2 Practice LESSON Name Compare Numbers Start at the left.