Transcription
CATitle practiceSE 4.indd Page 1 8/9/09 4:07:10 AM elhi-2/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/FM/CATitle practiceSE 4PRACTICEGrade 4Visit The Learning Site!www.harcourtschool.comCALIFORNIA HSPWorkbook
CAcopyright practiceSE Gr4.indd Page 1 8/11/09 2:45:11 AM elhi-2/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/FM/CAcopyright practiceSE Gr4Copyright 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 individuals using the corresponding student’s textbook or kit as the majorvehicle for regular classroom instruction to photocopy entire pages from this publication in classroom quantitiesfor instructional use and not for resale. Requests for information on other matters regarding duplication ofthis work should be addressed to School Permissions and Copyrights, Harcourt, Inc., 6277 Sea Harbor Drive,Orlando, Florida 32887-6777. Fax: 407-345-2418.HARCOURT and the Harcourt Logo are trademarks of Harcourt, Inc., registered in the United States ofAmerica and/or other jurisdictions.Printed in the United States of AmericaISBN 13: 978-0-15-356913-5ISBN 10: 0-15-356913-1If you have received these materials as examination copies free of charge, Harcourt School Publishersretains title to the materials and they may not be resold. Resale of examination copies is strictly prohibitedand is illegal.Possession of this publication in print format does not entitle users to convert this publication, or any portionof it, into electronic format.1 2 3 4 5 6 7 8 9 10 073 16 15 14 13 12 11 10 09 08 07
UNIT 1: UNDERSTAND WHOLE NUMBERSAND OPERATIONSChapter 1: Understand Place Value1.11.21.31.41.51.6Place Value Through HundredThousands .PW1Model Millions.PW2Place Value Through Millions .PW3Compare Whole Numbers .PW4Order Whole Numbers.PW5Problem Solving WorkshopStrategy: Use Logical Reasoning .PW6Chapter 2: Addition and Subtraction: MentalMath and Estimation2.12.22.32.42.52.6Algebra: Relate Addition andSubtraction .PW7Round Whole Numbers ThroughMillions .PW8Mental Math: Addition andSubtraction Patterns .PW9Mental Math: Estimate Sums andDifferences .PW10Mental Math Strategies .PW11Problem Solving WorkshopSkill: Estimate or Exact Answer .PW12Chapter 3: Add and Subtract Whole Numbers3.13.23.3 Harcourt3.4Add and Subtract Through5-Digit Numbers .PW13Subtract Across Zeros .PW14Add and Subtract GreaterNumbers.PW15Problem Solving WorkshopSkill: Too Much/Too LittleInformation .PW16Chapter 4: Algebra: Use Addition andSubtraction4.14.24.34.4Addition Properties .PW17Write and Evaluate Expressions .PW18Expressions with Variables.PW19Addition and SubtractionEquations .PW20/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/FM/MXECA09AWK4X PH SEFM4.54.64.7Add Equals to Equals .PW21Problem Solving WorkshopStrategy: Work Backward .PW22Patterns: Find a Rule .PW23UNIT 2: MULTIPLICATION AND DIVISIONFACTSChapter 5: Multiplication and Division Facts5.15.25.35.45.55.65.75.8Algebra: Relate Operations .PW24Algebra: Relate Multiplication andDivision .PW25Multiply and Divide FactsThrough 5 .PW26Multiply and Divide FactsThrough 10 .PW27Multiplication Table Through 12 .PW28Patterns on a Multiplication Table .PW29Problem Solving WorkshopSkill: Choose the Operation.PW30Algebra: Find Missing Factors .PW31Chapter 6: Algebra: Use Multiplication andDivision Facts6.16.26.36.46.56.66.76.8Multiplication Properties .PW32Order of Operations .PW33Expressions with Parentheses .PW34Write and Evaluate Expressions .PW35Multiplication and DivisionEquations .PW36Multiply Equals by Equals .PW37Problem Solving WorkshopStrategy: Predict and Test .PW38Patterns: Find a Rule .PW39 HarcourtMXECA09AWK4X PH SEFM.indd Page 2 11/08/2009 15:38:28 elhi-2
UNIT 3: MULTIPLY BY 1- AND2-DIGIT NUMBERSChapter 7: Multiply by 1-Digit Numbers7.17.27.37.47.57.67.7Mental Math: MultiplicationPatterns .PW40Mental Math: Estimate Products.PW41Problem Solving WorkshopStrategy: Draw a Diagram .PW42Model 3-Digit by 1-DigitMultiplication .PW43Record 3-Digit by 1-DigitMultiplication .PW44Multiply 4-Digit Numbersand Money.PW45Multiply with Zeros .PW46Chapter 8: Understand 2-Digit Multiplication8.18.28.38.4Mental Math: MultiplicationPatterns .PW47Multiply by Tens .PW48Mental Math: Estimate Products.PW49Problem Solving WorkshopSkill: Multistep Problems .PW50Chapter 9: Multiply by 2-Digit Numbers9.19.29.39.49.5Model 2-Digit by 2-DigitMultiplication .PW51Record 2-Digit by 2-DigitMultiplication .PW52Multiply 2- and 3-Digit Numbersand Money.PW53Multiply Greater Numbers.PW54Problem Solving WorkshopSkill: Evaluate Reasonableness .PW55UNIT 4: DIVIDE BY 1-DIGIT DIVISORS HarcourtChapter 10: Understand Division10.110.210.310.4Divide with Remainders.PW56Model 2-Digit by 1-Digit Division .PW57Record 2-Digit by 1-Digit Division.PW58Problem Solving WorkshopStrategy: Compare Strategies.PW5910.5 Mental Math: Division Patterns .PW6010.6 Mental Math: Estimate Quotients .PW6110.7 Place the First Digit .PW62/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/FM/MXECA09AWK4X PH SEFMChapter 11: Practice Division11.1 Problem Solving WorkshopSkill: Interpret the Remainder .PW6311.2 Divide 3-Digit Numbersand Money.PW6411.3 Zeros in Division .PW6511.4 Divide Greater Numbers .PW66Chapter 12: Number Theory and Patterns12.112.212.312.412.512.6Factors and Multiples.PW67Prime and Composite Numbers.PW68Factor Whole Numbers .PW69Find Prime Factors .PW70Number Patterns .PW71Problem Solving WorkshopStrategy: Find a Pattern .PW72UNIT 5: DATA AND ALGEBRAChapter 13: Collect, Organize, andRepresent Data13.1 Collect and Organize Data .PW7313.2 Make and Interpret VennDiagrams .PW7413.3 Find Mode and Median .PW7513.4 Read Line Plots .PW7613.5 Choose a Reasonable Scale.PW7713.6 Problem Solving WorkshopSkill: Make Generalizations .PW78Chapter 14: Interpret and Graph Data14.1 Interpret Bar Graphs .PW7914.2 Make Bar and Double-BarGraphs .PW8014.3 Interpret Circle Graphs .PW8114.4 Algebra: Graph Ordered Pairs .PW8214.5 Interpret Line Graphs.PW8314.6 Make Line Graphs .PW8414.7 Problem Solving WorkshopStrategy: Make a Graph.PW8514.8 Choose an Appropriate Graph .PW86Chapter 15: Algebra: Explore Negative Numbersand Graphing15.1 Temperature .PW8715.2 Explore Negative Numbers .PW8815.3 Problem Solving WorkshopStrategy: Act It Out .PW8915.4 Use a Coordinate Plane .PW90 HarcourtMXECA09AWK4X PH SEFM.indd Page 3 7/26/09 2:33:06 AM s-124
15.515.615.715.8Length on a Coordinate Plane .PW91Use an Equation .PW92Graph Relationships .PW93Identify Linear Relationships .PW94UNIT 6: FRACTIONS AND DECIMALSChapter 16: Understand Fractions and MixedNumbers16.116.216.316.416.516.6Read and Write Fractions .PW95Model Equivalent Fractions .PW96Compare Fractions .PW97Order Fractions .PW98Read and Write Mixed Numbers .PW99Compare and Order MixedNumbers.PW10016.7 Problem Solving WorkshopSkill: Sequence Information .PW101Chapter 17: Add and Subtract Like Fractions andMixed Numbers17.1 Model Addition .PW10217.2 Model Subtraction .PW10317.3 Record Addition andSubtraction .PW10417.4 Problem Solving WorkshopStrategy: Write an Equation.PW10517.5 Add and Subtract MixedNumbers.PW106 HarcourtChapter 18: Understand Decimals andPlace Value18.1 Relate Fractions and Decimals.PW10718.2 Equivalent Decimals .PW10818.3 Relate Mixed Numbers andDecimals .PW10918.4 Compare Decimals.PW11018.5 Order Decimals .PW11118.6 Problem Solving WorkshopSkill: Draw Conclusions .PW112/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/FM/MXECA09AWK4X PH SEFMChapter 19: Add and Subtract Decimals andMoney19.1 Round Decimals .PW11319.2 Estimate Decimal Sums andDifferences .PW11419.3 Model Addition .PW11519.4 Model Subtraction .PW11619.5 Record Addition andSubtraction .PW11719.6 Problem Solving WorkshopStrategy: Compare Strategies.PW118UNIT 7: GEOMETRYChapter 20: Lines, Rays, Angles, and , Lines, and Rays .PW119Classify Angles .PW120Line Relationships .PW121Polygons.PW122Classify Triangles .PW123Classify Quadrilaterals.PW124Circles .PW125Problem Solving WorkshopStrategy: Use Logical Reasoning .PW126Chapter 21: Motion Geometry21.121.221.321.4Congruent Figures.PW127Turns .PW128Symmetry .PW129Problem Solving WorkshopStrategy: Compare Strategies.PW13021.5 Geometric Patterns .PW131Chapter 22: Solid Figures22.122.222.322.4Faces, Edges, and Vertices .PW132Patterns for Solid Figures .PW133Different Views of Solid Figures .PW134Problem Solving WorkshopStrategy: Make a Model .PW135 HarcourtMXECA09AWK4X PH SEFM.indd Page 4 7/26/09 2:33:07 AM s-124
MXECA09AWK4X PH SEFM.indd Page 5 7/26/09 2:33:08 AM s-124UNIT 8: MEASUREMENT ANDPROBABILITYChapter 23: Perimeter and Area23.123.223.323.423.523.623.723.823.9Customary Measurements .PW136Metric Measurements .PW137Estimate and Measure Perimeter .PW138Algebra: Find Perimeter .PW139Problem Solving WorkshopSkill: Use a Formula .PW140Estimate Area .PW141Algebra: Find Area .PW142Problem Solving WorkshopStrategy: Solve a SimplerProblem.PW143Relate Perimeter and Area .PW144/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/FM/MXECA09AWK4X PH ekWeekWeekWeekWeek21. SR2122. SR2223. SR2324. SR2425. SR2526. SR2627. SR2728. SR2829. SR2930. SR3031. SR3132. SR3233. SR3334. SR3435. SR3536. SR36Chapter 24: Probability24.1 List All Possible Outcomes .PW14524.2 Problem Solving WorkshopStrategy: Make anOrganized List .PW14624.3 Make Predictions .PW14724.4 Probability as a Fraction .PW14824.5 Experimental Probability .PW14924.6 Tree WeekWeekWeekWeekWeekWeekWeekWeekWeekWeekWeek1. SR12. SR23. SR34. SR45. SR56. SR67. SR78. SR89. SR910. SR1011. SR1112. SR1213. SR1314. SR1415. SR1516. SR1617. SR1718. SR1819. SR1920. SR20 Harcourt HarcourtSpiral Review
MXECA09AWK4X PH C01 L1.indd Page PW1 7/25/09 10:44:34 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH01/MXECA09AWK4X PHTE C01 L1NameLesson 1.1Place Value Through Hundred ThousandsWrite each number in two other forms1. 50,000 3,000 700 52. eight hundred thousand, ninehundred thirty-seven3. 420,0684. 78,641Complete.5. 290,515 two hundred ninety, five hundred fifteen 10 5 90,000 6. 10,000 3,000 100 80 9 413,1four hundred thirteen thousand, oneeighty-nine Write the value of the underlined digit in each number.7. 705,2398. 417,2089. 914,32510. 360,044Problem Solving and Test Prep12. In 2005, the Labrador Retriever was the Harcourtregistered in the American KennelClub. What are two ways you canrepresent the number?13. What is the value of the digit 9 inmost popular breed in the AmericanKennel Club with 137,867 registered.Write the number in two other forms.14. In February, eighty-five thousand, sixhundred thirteen people went to theWestminster Dog Show. What is thenumber in standard form?390,215?A 900B 9,000C 90,000D 900,000A 850,630BPW185,630850,613D 85,613CPractice Harcourt11. In 2005, there were 20,556 Bulldogs
MXECA09AWK4X PH C01 L2.indd Page PW2 7/25/09 10:43:59 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH01/MXECA09AWK4X PHTE C01 L2NameLesson 1.2Model MillionsSolve.1. How many hundreds are in100,000?3. How many thousands are in2. How many thousands are in4. How many hundreds are in10,000?10,000?1,000,000?5. How many hundreds are in6. How many thousands are in1,000,000?100,000?Tell whether each number is large enough to be in the millions or more.Write yes or no.7. the number of people at a baseball8. the distance in miles to the neareststadium for one gamestar outside our solar system9. the number of leaves on the trees in10. the distance in feet across aa forestswimming pool11. the number of cars people own in the12. the number of trips a bus might makeUnited States13. the number of bags of trash a familyin one day14. the distance in miles from one city tomakes in one month15. the number of fourth graders in theanother in your state16. the number of miles you might travelUnited States17. the number of gallons of water in theto reach the Moon18. the number of stars in the solaroceansystem19.435,767 or 450,76720.510,000 or 5,100,00021.125,000,000 or 521,000,00022.435,003 or 4,300,50023.1,511,672 or 115,67224.40,005,400 or 350,400,30025.135,322,000 or 9,450,32226.35,000,000 or 3,500,000PW2 Harcourt HarcourtChoose the number in which the digit 5 has the greater value.Practice
MXECA09AWK4X PH C01 L3.indd Page PW3 7/25/09 10:44:11 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH01/MXECA09AWK4X PHTE C01 L3NameLesson 1.3Place Value Through MillionsWrite each number in two other forms.1. ninety-five million, three thousand,2. four hundred eighty-five million, fifty-sixteentwo thousand, one hundred eight4. 20,000,000 500,000 60,000 3. 507,340,0151,000 300 40Use the number 78,024,593.5. Write the name of the period that has6. Write the digit in the ten millionsthe digits 24.place.7. Write the value of the digit 8.8. Write the name of the period that hasthe digit 5.Find the sum. Then write the answer in standard form.9. 7 thousands 3 hundreds 4 ones 8 ten thousands 1 thousand 5 hundredsProblem Solving and Test Prep11. The average distance from Earth to Harcourtthe Sun is 92,955,807 miles. What isthe value of the digit 2?12. Which of these is the numberthe Sun is one hundred forty-ninemillion, six hundred thousandkilometers. Write the number instandard form.13. Which of these is the number forty-4,000,000 300,000 80,000 500 10?three million, nine hundred twothousand, eleven?A 4,385,100A 4,392,011B40,308,5104,380,510D 4,385,010CBPW343,920,011C 43,902,011D 43,902,110Practice Harcourt10. The average distance from Earth to
MXECA09AWK4X PH C01 L4.indd Page PW4 7/25/09 10:45:30 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH01/MXECA09AWK4X PHTE C01 L4NameLesson 1.4Compare Whole NumbersUse the number line to compare. Write the lesser number.3,5003,6001. 3,660 or 3,5903,7003,8003,9002. 3,707 or 3,7774,0003. 3,950 or 3,905Compare. Write , , or for each 5,75172,942 74,2883,467,284 481,105 6,279891,023 806,321613,500 1,611,311 39,867673,219 73,5514,000,111 41,0114. 5,1555. 6,8106. 45,1667.8.9.10.11.12.ALGEBRA Find all of the digits that can replace each .13. 781 78 14. 2,4 5 2,46515. ,119 9,119Problem Solving and Test PrepUSE DATA For 16–17 use the table.Tallest Mountains16. Which mountain is taller: Logan orMcKinley?17. Which mountain is taller than 9. Which number is less than 1,322?the greatest? HarcourtHeight (in feet)A 1,521C 1,319 1,429D 1,324BA 34,544 Harcourt18. Which number from the list below isMountain304,544C 43,450D 345,144BPW4Practice
MXECA09AWK4X PH C01 L5.indd Page PW5 7/25/09 10:43:45 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH01/MXECA09AWK4X PHTE C01 L5NameLesson 1.5Order Whole NumbersWrite the numbers in order from greatest to least.1. 74,421; 57,034; 58,9252. 2,917,033; 2,891,022; 2,805,5673. 409,351; 419,531; 417,0114. 25,327,077; 25,998; 2,532,7075. 621,456; 621,045,066; 6,021,4566. 309,423; 305,125; 309,7617. 4,358,190; 4,349,778; 897,4558. 5,090,115; 50,009,115; 509,155ALGEBRA Write all of the digits that can replace each 䊏.9. 389 3䊏7 39911. 39,560 3䊏,570 34,58010. 5,601 5,䊏01 5,90112. 178,345 1䊏8,345 148,345Problem Solving and Test PrepLargest Lakes(area in square miles)USE DATA For 13–14, use the table.13. Which lake has the smallest n Sea19,551 Harcourtfrom least area to the greatest area.15. Which shows the numbers in order16. Which shows the numbers in order fromfrom greatest to least?greatest to least?A 36,471; 36,490; 36,470A 92,944; 92,299; 92,449969,482; 979,485; 969,500C 121,119; 121,101; 121,111D 129,876; 129,611; 129,602BB159,872; 159,728; 159,287C 731,422; 731,242; 731,244D 487,096; 487,609; 487,960PW5Practice Harcourt14. Write the names of the lakes in order
MXECA09AWK4X PH C01 L6.indd Page PW6 7/26/09 4:09:40 AM s-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH01/MXECA09AWK4X PHTE C01 L6NameLesson 1.6Problem Solving Workshop Strategy:Use Logical ReasoningProblem Solving Strategy PracticeUse logical reasoning to solve.1. The stadium store sells team shirts on2. Anton, Rachel, and Lamont likeFriday, Saturday, and Sunday. Thenumber of shirts sold for three days were473, 618, and 556. The least number ofshirts were sold on a Friday. More than600 shirts were sold on Saturday. Howmany shirts were sold each day?different baseball teams. The teamsare the Yankees, the Red Sox, and theWhite Sox. Anton’s favorite team doesnot have a color in its name. Lamontdoes not like the White Sox. Whichteam does each person like best?Mixed Strategy Practice3. Beth, Paulo, Lee, Maya, and Rob are4. Mr. Katz bought an autographedbaseball for 755. He used 50-bills, 20-bills, and 5-bills to make exactly 755. The total number of bills he usedis less than 20. What combination ofbills would Mr. Katz have used?standing in line to get into themovies. Beth is in front of Maya.Maya is not last in line. Rob is first.Lee is after Maya. Paulo is not last. Inwhat order are they standing in line?USE DATA For 5–6, use the information shown in the art.PW64 3Practice Harcourthockey stick. After 2 weeks he has 40.After 3 weeks, he has 50. After 4 weeks,he has 60. How long do you think it willtake Alex to save 80?4 796. Alex wants to save money to buy the 5 Harcourt 7than 100 for both of them. Which twoitems does she buy?25. Claire buys two items. She spends less
MXECA09AWK4X PH C02 L1.indd Page PW7 7/25/09 10:43:13 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH02/MXECA09AWK4X PHTE C02 L1NameLesson 2.1Algebra: Relate Addition and SubtractionWrite a related fact. Use it to complete the number sentence.1. 䊏 7 82. 4 䊏 133. 䊏 9 144. 8 䊏 115. 䊏 4 86. 17 䊏 97. 䊏 5 58. 13 䊏 59. 䊏 7 16Write the fact family for each set of numbers.10. 6, 8, 1411. 7, 5, 1212. 9, 6, 15Problem Solving and Test Prep14. Byron can do 12 pull-ups. Malik can Harcourtdo 7 pull-ups. How many more pullups can Byron do than Malik? Whatrelated facts can you use to solve thisproblem?15. Which of the following sets of numbersdo 7 pull-ups. Selma does more pullups than Malik but fewer than Byron.What are the four possible numbers ofpull-ups that Selma could have done? Harcourt13. Byron can do 12 pull-ups. Malik can16. Which of the following sets ofcannot be used to make a fact family?numbers can be used to make a factfamily?A 25,10,15A 5,6,11B 2,2,415,9,6D 3,2,14CB 11,12,13PW77,6,12D 19,9,11CPractice
MXECA09AWK4X PH C02 L2.indd Page PW8 8/12/09 9:37:31 PM elhi-2 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH02/MXECA09AWK4X PHTE C02 L2NameLesson 2.2Round Whole Numbers Through MillionsRound each number to the place value of the underlined digit.1. 7,8032. 4,0973. 23,6724. 627,4325. 34,809,5166. 671,523,890Round each number to the nearest ten, hundred, and hundred thousand.7. 6,086,3418. 79,014,8789. 821,460,934Problem Solving and Test PrepUSE DATA For 10–11, use the table.Population of States in 2000Census10. Which state has a population thatrounds to 5,700,000?11. What is the population of Maryland,rounded to the nearest thousand?A ,486Tennessee5,689,283Wisconsin5,363,67513. To find the rounded number that isclosest to 1,234,567, to what placedo you round? Harcourt Harcourt12. Which number rounds to 45,000?StatePW8Practice
MXECA09AWK4X PH C02 L3.indd Page PW9 7/25/09 10:45:42 PM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH02/MXECA09AWK4X PHTE C02 L3NameLesson 2.3Mental Math: Addition and Subtraction PatternsUse mental math to complete the pattern. 8 171.90 170100 1,200 9,000 8,000 80012,000 4,000 4. 7 9 5. 8 160 1180 300 1,100 9,000 16,000 70 300 70010,000 3,000 5 96. 110700 900 3 73.120 40 900 800 70 4 82.140 50 1,400 3,000 11,000 900 5,000 9,000Use mental math patterns to find the sum or difference.7. 600 70011. 12,000 10,0008. 180 9012. 700 6009. 6,000 9,00013. 130,000 70,00010. 13,000 5,00014. 15,000 8,000Problem Solving and Test Prep16. There are 600 pens in each box. How Harcourtzoo. In 2002, there were 1,200 rabbitsat the zoo. How many more rabbitswere at the zoo in 2002 than 2001?17. What number completes the sentencemany pens are there in 2 boxes?18. There were 14,000 newspapers printed 3,000 12,000A 90,000B 9,000C 8,000D 900on Tuesday morning. By Tuesdayafternoon, only 8,000 were sold. Howmany newspapers have not been soldyet?PW9Practice Harcourt15. In 2001, there were 400 rabbits at the
MXECA09AWK4X PH C02 L4.indd Page PW10 7/25/09 10:44:23 PM mes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH02/MXECA09AWK4X PHTE C02 L4NameLesson 2.4Mental Math: Estimate Sums and DifferencesUse rounding to estimate.1.6,356 1,6752.8,267 2,7613.38,707 28,3924.75,428 19,5775.187 5196.6,489 1,8077.24,655 51,6838.61,075 29,732Use compatible numbers to estimate.9. 5,432 65210. 45,221 6,16711. 392 47 89Adjust the estimate to make it closer to the exact sum or difference.12. 6,285 2,167Estimate: 8,00013. 42,819 11,786Estimate: 30,00014. 17,835 45,199Estimate: 65,000Problem Solving and Test Prep16. Sara estimates the difference between54,625 and 32,484. Her answer is20,000. Give a closer estimate. Harcourtto the Rodeo. In 2006, there were117,578 more visitors than in 2004.Estimate the total number of visitors tothe Rodeo in 2004 and 2006.17. A plane flies 14,854 miles in one18. A train travels 7,824 miles the firstweek. The next week, it flies 8,267miles. Estimate the distance the planeflies in two weeks.A 22,000 miles C24,000 milesB 23,000 miles D 25,000 milesPW10month and travels 3,776 miles thenext month. About how many moremiles does the train travel in the firstmonth than in the second month?Practice Harcourt15. In 2004, there were 398,521 visitors
MXECA09AWK4X PH C02 L5.indd Page PW11 7/26/09 4:11:11 AM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH02/MXECA09AWK4X PHTE C02 L5NameLesson 2.5Mental Math StrategiesAdd or subtract mentally. Tell the strategy you used.1. 73 152. 87 483. 57 914. 152 685. 542 1486. 515 1517. 799 2318. 387 739. 945 42510. 452 33911. 396 26512. 594 496Problem Solving and Test Prep13. Vicky has 32 baseball cards and14. Kareem bowls 78 the first game and29 soccer cards. Use mental math to52 the second game. Use mentalfind how many cards Vicky has in all.math to find the difference ofKareem’s scores.15. Jason sells 27 tickets on Monday and16. Haley buys a baseball bat and glovethe sum mentally. How should he adjustthe sum to find the total?that cost 25 and 42. She subtracts 2 from 42 to find the totalmentally. How should Haley adjustthe sum to find the total?A Add 3 to the sumA Add 2 to the sumBAdd 4 to the sumBSubtract 2 from the sumCSubtract 3 from the sumCAdd 5 to the sumD Subtract 5 from the sumD Subtract 4 from the sumPW11 Harcourt Harcourt34 on Tuesday. He adds 3 to 27 to findPractice
MXECA09AWK4X PH C02 L6.indd Page PW12 7/26/09 4:12:34 AM s-124/Volumes/105/HMH0002/work%0/indd%0/Grades-124 /Volumes/105/HMH0002/work%0/indd%0/Grade 4 PW/CH02/MXECA09AWK4X PHTE C02 L6NameLesson 2.6Problem Solving Workshop Skill:Estimate or Exact Answer?Problem Solving Skill PracticeExplain whether to estimate or find an exact answer. Then solve the problem.1. A plane has 5 seating sections that2. A small plane carries 130 gallons ofcan hold a total of 1,175 passengers.Today, the sections held 187, 210,194, 115, and 208 passengers. Wasthe plane filled to capacity?3. A movie theater has a total of 415fuel. It needs 120 gallons to fly a45-mile trip. Does the pilot haveenough fuel to make a 45-mile trip?4. Bob drives 27 miles round trip eachseats. There are 187 adults and 213children seated in the theater. Howmany empty seats are there in thetheater?day for three days. Has Bob traveledmore or less than 250 miles?Mixed Applications6. The movie theater sells 209 tickets for HarcourtMonday, 187 tickets on Tuesday, and98 tickets on Wednesday. Are theremo
Place Value Through Hundred Thousands Write each number in two other forms 1. 50,000 3,000 700 5 2. e
