Transcription
Homework and RememberingHomework and RememberingGrade 4 Volume 11497480-LV 4 B01/( 5 B&95 LQGG Volume 1 30
Cover Credit: (Polar bear) imagebroker.net/SuperStockCopyright by Houghton Mifflin Harcourt Publishing CompanyAll rights reserved. No part of this work may be reproduced or transmitted in any formor by any means, electronic or mechanical, including photocopying or recording, or byany information storage and retrieval system, without the prior written permission ofthe copyright owner unless such copying is expressly permitted by federal copyright law.Requests for permission to make copies of any part of the work should be addressed toHoughton Mifflin Harcourt Publishing Company, Attn: Contracts, Copyrights, and Licensing,9400 South Park Center Loop, Orlando, Florida 32819-8647.Printed in the U.S.A.ISBN: 978-0-547-82424-61 2 3 4 5 6 7 8 9 10 XXXX21 20 19 18 17 16 15 14 13 124500000000BCDEFGIf you have received these materials as examination copies free of charge, Houghton Mifflin Harcourt PublishingCompany retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited.Possession of this publication in print format does not entitle users to convert this publication, or any portion of it,into electronic format.
Name1-1DateWrite the number of tens and the number of onesin each number.1. 562. 7083. 6,1705tens0tens7tens6ones8ones0onesWrite the number of thousands and the number ofhundreds in each number.4. 4,9825. 3166. eds0hundreds Houghton Mifflin Harcourt Publishing CompanyMake a place-value drawing for each number, using ones,quick tens, hundred boxes, and thousand bars. Check students’ drawings.7. 368. 5109. 40310. 1,072UNIT 1 LESSON 1Place Value to Thousands1
Name1-1DateMultiply or divide.1. 8 3 3. 27 9 5. 2 8 24102. 40 4 34. 7 6 42166. 6 5 30Use the diagram to complete Exercises 7–10.Write two related multiplication problems for the diagram.7.8 4 328.4 8 32Write two related division problems for the diagram.9.32 4 810.32 8 4Owen is correct. The place value drawing shows 4 hundredboxes, 8 quick tens, and 3 ones, which represents 483.Marcus mistook the hundred boxes for thousand bars.2UNIT 1 LESSON 1Place Value to Thousands Houghton Mifflin Harcourt Publishing Company11. Stretch Your Thinking Marcus says this place valuedrawing represents the number 4,083. Owen says itrepresents 483. Which student is correct? Explainthe error.
Name1-2DateRead and write each number in standard form.921. 90 22. 600 80 92,8573. 2,000 800 50 74. 3,000 80 56893,085Read and write each number in expanded form.40 85. 48900 50 46. 9547. 6,3216,000 300 20 18. 4,3064,000 300 69. 1,5631,000 500 60 310. 2,8402,000 800 40Read and write each number in word form.11. 300 20 5 three hundred twenty-five12. 5,000 700 40 8 five thousand, seven hundred forty-eight13. 9,000 400 6 nine thousand, four hundred sixRead and write each number in standard form.14. seventy-six76 Houghton Mifflin Harcourt Publishing Company15. three hundred one30116. four thousand, two hundred sixteen 4,21617. five thousand, one hundred forty-two 5,142Write the value of the underlined digit.18. 28780UNIT 1 LESSON 219. 8,792 8,00020. 7,812800Place Value Patterns3
Name1-2DateMultiply or divide.1. 6 4 3. 45 9 5. 3 7 2472. 56 8 54. 6 6 213686. 48 6 7. Grace read six books over the summer. Her sisterread three times that number. How many booksdid Grace’s sister read over the summer?18Write the number of thousands and the number ofhundreds in each number.9. 7,0268. 5,8125thousands7thousands8hundreds0hundredsMake a place value drawing for each number, usingones, quick tens, hundred boxes, and thousand bars.10. 603Check students’ drawings.12. Stretch Your Thinking Mr. Thomas writes 4,964 on the board.Amy says the value of the underlined digit is 9. Chris said thevalue is 900. Which student is correct? Explain.Chris is correct. The underlined digit is in the hundredsplace of the number. So, it has a value of 9 hundreds, or 900.4UNIT 1 LESSON 2Place Value Patterns Houghton Mifflin Harcourt Publishing CompanyCheck students’ drawings.11. 3,187
Name1-3DateRound each number to the nearest ten.1. 46502. 3813803. 4,175 4,1804. 5,024 5,020Round each number to the nearest hundred.5. 7898006. 971 1,0007. 2,759 2,8008. 3,148 3,100Round each number to the nearest thousand.9. 6,578 7,00010. 4,489 4,00011. 8,099 8,00012. 2,761 3,000Compare using , , or . 6,98716. 7,235 13. 4,538 4,835 4,03417. 4,004 14. 3,554 3,449 5,05918. 5,609 15. 1,289 1,298Solve.19. When you round a number, which digit in the numberhelps you decide to round up or round down? Explainyour answer.You look at the digit in the place to the right ofthe place to which you are rounding. If the digit is Houghton Mifflin Harcourt Publishing Company5 or greater, round up. If the digit is less than 5,the digit in the place to which you are roundingdoes not change.20. When you round a number, what should you do withthe digits to the right of the place to which youare rounding?Write zeros in all the places to the right of theplace to which you are rounding.UNIT 1 LESSON 3Round Numbers5
Name1-3DateFind the unknown number.321. 4 8 73. 63 95. 9 94.8 816.6037. 21 7 62. 42 7 8. 10 5 40 6 1010 100Write the number of tens and the number of ones ineach number.10. 9,3249. 6070tens2tens7ones4onesRead and write each number in standard form.11. 40 3431,25814. 8,000 70 75798,07715. Stretch Your Thinking Sara is thinking of a number.When she rounds her number to the nearest hundred,she gets 700. What is the greatest number Sara can bethinking of? Explain.749; The number 749 rounded to the nearest hundred is 700. Thenumber 750 rounded to the nearest hundred is 800. So, 749 is thegreatest number Sara could be thinking of that rounds to 700.6UNIT 1 LESSON 3Round Numbers Houghton Mifflin Harcourt Publishing Company13. 1,000 200 50 812. 500 70 9
Name1-4DateRead and write each number in expanded form.1. 39,012 30,000 9,000 10 23. 102,453 100,000 2,000 400 50 32. 640,739 600,000 40,000 700 30 94. 460,053 400,000 60,000 50 3Read and write each number in word form.5. 1,000,000one million6. 730,812seven hundred thirty thousand, eight hundred twelve7. 45,039forty-five thousand, thirty-nine8. 600,439six hundred thousand, four hundred thirty-nine Houghton Mifflin Harcourt Publishing CompanyRead and write each number in expanded form.9. nine hundred twenty-threethousand, nine hundredtwenty-three900,000 20,000 3,000 900 20 311. seventy-six thousand, five70,000 6,000 513. seven hundred thousand, fourhundred thirty700,000 400 30UNIT 1 LESSON 410. one hundred forty thousand, onehundred four100,000 40,000 100 412. fifty-nine thousand, two hundredsixty-one50,000 9,000 200 60 114. thirty-one thousand, two hundredseventy-nine30,000 1,000 200 70 9Numbers to One Million7
Name1-4DateUse the numbers 7, 9, and 63 to complete the related equations.91. 7 633.63 9 72. 9 74.6363 7 9Solve.5. Aileen made 36 mini muffins for the school bake sale.Each bag holds four mini muffins. How many bags ofmini muffins will she have for the bake sale?9Read and write each number in expanded form.80 66. 868. 7,9157,000 900 10 57. 421400 20 19. 3,4023,000 400 2Write the value of the underlined digit.10. 4898011. 7,4937,00012. 1,5066Round each number to the nearest ten.5014. 6,0226,020Round each number to the nearest hundred.15. 67270016. 3,9403,90017. Stretch Your Thinking How many zeros are in thestandard form of six hundred thousand, twenty? Explain.There are four zeros in the standard form of six hundred thousand,twenty. The standard form of six hundred thousand, twenty is 600,020.8UNIT 1 LESSON 4Numbers to One Million Houghton Mifflin Harcourt Publishing Company13. 47
Name1-5DateCompare using , , or . 145,4243. 154,424 89,1755. 89,175 683,6424. 836,245 1,000,0006. 100,000 1. 57,068 57,8602. 24,516 24,165Round to the nearest ten thousand.7. 11,29510,0008. 82,96480,0009. 97,07911. 410,188400,00013. 837,682800,000100,000Round to the nearest hundred thousand.10. 153,394200,00012. 960,013 1,000,000Solve.14. What would 672,831 be rounded to the nearest:a. ten?672,830b. hundred?c. thousand?672,800673,000 Houghton Mifflin Harcourt Publishing Companyd. ten thousand?670,000e. hundred thousand?700,00015. Compare the number 547,237 rounded to the nearesthundred thousand and 547,237 rounded to the nearestten thousand. Which is the greater number? Write acomparison statement and explain your answer.Possible answer: The number 547,237 rounded to the nearest hundredthousand is 500,000. The number rounded to the nearest ten thousandis 550,000. The number rounded to the nearest ten thousand is thegreater number. 500,000 550,000.UNIT 1 LESSON 5Compare and Round Greater Numbers9
Name1-5DateFind the unknown value in the number sentence.1. 8 k 16k 22. n 9 90n 103. 35 t 5t 74. p 6 9p 54Solve.5. In an arcade game, Nick can earn up to 10 tickets,depending on which slot his coin goes through. If heplays the game six times, what is the greatest numberof tickets Nick could earn?60Round each number to the nearest thousand.3,0006. 2,9507. 4,3074,000Read and write each number in word form.8. 16,977sixteen thousand, nine hundred seventy-seven9. 403,056four hundred three thousand, fifty-sixNo, Leon’s thinking is not correct. You can’t compare digits from leftto right, since the digits might not have the same place value. In thenumber 64,198, the digit 6 has a value of 60,000, but in the number641,532 it has a value of 600,000. The number 641,532 is greater.10UNIT 1 LESSON 5Compare and Round Greater Numbers Houghton Mifflin Harcourt Publishing Company10. Stretch Your Thinking Leon says that he can compare numbers in thesame way that he alphabetizes words. For example, since the first twoletters of cat and cane are the same, he goes to the next letter tocompare. Since n comes before t in the alphabet, the word cane comesfirst in a dictionary. To compare 64,198 with 641,532, he knows that thefirst three digits 641 are the same. Then he compares the next digit ineach number. Since 9 is greater than 5, the number 64,198 must begreater. Is Leon’s way of thinking correct? Explain.
Name1-6DateUse the information in the table to answer the questions.Driving Distances (in miles) between Various Cities in the United StatesNew York, NYChicago, ILLos Angeles, CA8867172,3661,5769371,4509145782,028Omaha, NE1,2574831,561Seattle, WA2,9122,1081,141Wichita, KS1,4197401,393Atlanta, GADallas, TXNashville, TN1. If you drive from New York to Dallas and then fromDallas to Chicago, how many miles would you drive?2,513 miles2. Which two cities are farther apart in driving distance:Seattle and Los Angeles or Wichita and New York? Useplace value words to explain your answer.Wichita and New York; because 4 hundreds are greater Houghton Mifflin Harcourt Publishing Companythan 1 hundred, 1,419 is greater than 1,141.Use any method to add. On another sheet of paper, makea drawing for exercise 5 to show your new groups.For Exercise 5, check students’ drawings.3.1,389 5,8764.7,2657.3,692 7,54311,235UNIT 1 LESSON 63,195 2,6745.5,8698.8,598 5,56214,1601,165 7,3416.8,5069.4,295 8,41612,7112,653 4,9087,56110.6,096 9,43215,528Make New Groups for Addition11
Name1-6DateMultiply or divide.91. 81 9 3. 9 3 5.277 85687. 10 802. 7 4 284. 24 4 6.65 73568. 7 42Read and write each number in expanded form.9. eighty-six thousand, nine hundred twenty-one80,000 6,000 900 20 110. nine hundred twenty thousand, four hundred thirteen900,000 20,000 400 10 3Compare using , , or . 1,000,00014. 999,999 12. 438,000 43,80015. Stretch Your Thinking Find the unknown digits in thefollowing addition problem.3, 5 6 4 4, 9 7 28, 5 3 612UNIT 1 LESSON 6Make New Groups for Addition Houghton Mifflin Harcourt Publishing Company 13. 298,150 298,10511. 36,290 36,290
1-7NameDateCopy each exercise, lining up the placescorrectly. Then add.1. 51,472 7,07858,5503. 1,824 36,73938,5635. 314,759 509,028823,7877. 493,169 270,541763,710 Houghton Mifflin Harcourt Publishing CompanyThe table shows the surface areaof each of the Great Lakes.Use the data in the table to helpanswer the following questions.2. 94,280 56,173150,4534. 372,608 51,625424,2336. 614,702 339,808954,5108. 168,739 urface Area (square miles)9,90622,97322,2787,34031,7009. Which is greater, the surface area of Lake Superior,or the sum of the surface areas of Lake Michiganand Lake Erie?Show your work.Lake Michigan and Lake Erie10. Which two lakes have a combined surface area of30,313 square miles?Lake Huron and Lake OntarioUNIT 1 LESSON 7Add Greater Numbers13
Name1-7DateMultiply or divide.61. 30 5 562. 8 7 3. 4 6 244. 70 7 105. 3 9 276. 36 6 6Compare using , , or . 134,2579. 134,657 93,86210. 93,862 7. 6,299 62, 9908. 389,151 394,027Use any method to add.11.1,362 6,5097,87112.3,893 5,24513.9,1386,399 7,43813,837 Houghton Mifflin Harcourt Publishing Company14. Stretch Your Thinking Peter adds 245,936 51,097 asfollows. Explain his error. What is the correct sum?1 12 4 5, 9 3 6 5 1,0 9 77 5 6, 9 0 6His error is aligning the two addends on the leftside. He should have aligned the addends in theones place. The correct sum is 297,033.14UNIT 1 LESSON 7Add Greater Numbers
Name1-8DateWrite a number sentence that shows an estimate of eachanswer. Then write the exact answer. Estimates may vary.1. 69 25 estimate: 70 25 95; exact: 942. 259 43 estimate: 260 40 300; exact: 3023. 2,009 995 estimate: 2,000 1,000 3,000; exact: 3,0044.537 45.3854 52144196.284432 46243625 3877.8.1,255150154131204 179668Show your work.Solve. Estimates may vary.9. Paul’s stamp collection includes 192 domestic and811 foreign stamps.About how many domestic and foreign stamps doesPaul have altogether?200 800; about 1,000 stampsExactly how many domestic and foreign stampsdoes Paul have altogether? Houghton Mifflin Harcourt Publishing Company1,003 stamps10. Plane A travels 102,495 miles. Plane B travels 91,378 miles.How many miles in all do the two planes travel?193,873 milesExplain how you can use estimation to check that youranswer is reasonable.Possible explanation: I would round 102,495 down to 100,000, andround 91,378 down to 90,000. 100,000 90,000 190,000. Since193,873 is close to 190,000, the answer is reasonable.UNIT 1 LESSON 8Estimation and Mental Math15
Name1-8DateWhat is 362,584 rounded to the nearest:1. hundred? 362,6002. thousand? 363,0003. ten thousand? 360,0004. hundred thousand? 400,000Use any method to add.5.2,938 4,2716.7,2098,305 1,4677.9,7728,074 3,55211,626Copy each exercise, lining up the places correctly. Then add.8. 45,296 38,3029. 293,017 58,22683,598351,243Possible answer: Luanne’s estimate is closer to the exact sum. Luannedid not round 15 because it’s easy to add to 40. Jacob rounded 15 tothe nearest ten, which is 20. The sum of 39 15 is 54. Luanne’sestimate of 55 is closer.16UNIT 1 LESSON 8Estimation and Mental Math Houghton Mifflin Harcourt Publishing Company10. Stretch Your Thinking Luanne estimates the sum of 39 15 is about40 15, or 55. Jacob estimates the sum of 39 15 is about 40 20,or 60. Which estimate is closer to the exact sum? Explain.
Name1-9DateSubtract. Show your new .5,0003,6091,391Show your work. Houghton Mifflin Harcourt Publishing Company13. A cross-country automobile rally is 1,025 kilometerslong. At a stopping place, the leader had traveled867 kilometers. How far away was the finish line?158 kilometers14. A census counted 5,407 people in Marina’s hometown. If 3,589 are males, how many are females?1,818 females15. A construction company is building a stone wall.The finished wall will contain 5,000 stones. So far,1,487 stones have been placed. How many stoneshave not been placed?3,513 stonesUNIT 1 LESSON 9Subtract from Thousands17
Name1-9DateUse any method to add.1.6,022 1,9888,0102.4,586 1,6933.8,374 3,70712,0816,279The table shows the amount of litter collected from parksacross a city on Earth Day each year. Use the data in thetable to help answer the following questions.4. How much litter was collectedaltogether in 2007 and 2008?20,397 pounds5. Which two years had a combinedlitter collection of 23,456 pounds?2008 and 2010Litter Collected on Earth DayYearPounds of Litter20078,293200812,104200915,877201011,3529. Stretch Your Thinking Bridget ungrouped 5,000 asshown. Use your understanding of place value toexplain how the ungrouped number is equal to 5,000.4 9 9 105,000-2,896Possible answer: since 10 ones is equal to 1 ten, theungrouped number is 4,000 900 90 10,which is 5,000.18UNIT 1 LESSON 9Subtract from Thousands Houghton Mifflin Harcourt Publishing CompanyWrite an equation that shows an estimate of eachanswer. Then write the exact answer. Estimates may vary.estimate: 500 800 1,300; exact: 1,3076. 495 812 7. 7,203 299 estimate: 7,200 300 7,500; exact: 7,502estimate: 3,000 6,000 9,000; exact: 8,8768. 2,859 6,017
1-10NameDateSubtract. Then use addition to check the subtraction.Show your work.1. 1,400 - 238 1,162Check: 1,162 238 1,4003. 4,620 - 1,710 2,910Check: 2,910 1,710 4,6205. 3,142 - 1,261 1,881Check: 1,881 1,261 3,1422. 1,900 - 1,238 662Check: 662 1,238 1,9004. 5,243 - 2,454 2,789Check: 2,789 2,454 5,2436. 2,375 - 896 1,479Check: 1,479 896 2,375 Houghton Mifflin Harcourt Publishing CompanySolve.Show your work.7. A school library has 1,058 books in its collection.The town library has 4,520 books in its collection.How many books are there altogether?5,578 books8. A town official knows how many books the townlibrary has and how many books both libraries havealtogether. She wants to know how many books theschool library has. How can she use subtractionto find the answer?Subtract 4,520 from 5,578; 5,578 – 4520 1,058UNIT 1 LESSON 10Subtraction Undoes Addition19
Name1-10DateCopy each exercise, lining up the places correctly. Then add.1. 32,418 508,1822. 734,150 60,382540,600794,532Show your work.Solve. Estimates may vary.3. The entire fourth grade is made up of 102 boysand 86 girls. About how many students are in thefourth grade altogether?100 90; about 190 studentsExactly how many students are in thefourth grade altogether?188 studentsSubtract. Show your new 53,317 2,948 6,265; 6,265 – 2,948 3,317;6,265 - 3,317 2,948.20UNIT 1 LESSON 102,9483,317Subtraction Undoes Addition Houghton Mifflin Harcourt Publishing Company7. Stretch Your Thinking What is the unknown numberin this break-apart drawing? List all the addition andsubtraction problems for the drawing.The missing part is 3,317. 2,948 3,317 6,265;2,0811,733
Name1-11DateSubtract.1.71,824- 36,7392.960,739- 894,04535,0855.597,603- 404,9803.66,6946.614,702- 539,508192,623665,717- 82,8244.582,8937.75,194372,608- 57,425315,183724,35999,0688.625,291394,280- 56,473337,807In an experiment, a scientist counted how many bacteriagrew in several labeled dishes. The table shows howmany bacteria were in each dish.DishNumber of w your work. Houghton Mifflin Harcourt Publishing CompanySolve. Estimate to check.9. What was the difference between the greatestnumber of bacteria and the least number of bacteria?637,128 bacteria10. How many more bacteria were in dish A than in dish D?531,274 more bacteria11. How many fewer bacteria were in dish E thanin the combined dish C and dish D?800 fewer bacteriaUNIT 1 LESSON 11Subtract Greater Numbers21
1-11NameDateWrite an equation that shows an estimate of eachanswer. Then write the exact answer. Estimates may vary.estimate: 500 70 570; exact: 5721. 503 69estimate: 2,800 200 3,000; exact: 3,0372. 2,825 212estimate: 6,000 4,000 10,000; exact: 10,0483. 6,190 3,858Subtract. Show your new 22,885Subtract. Then use addition to check the subtraction. Show your work.7. 6,355 - 891 5,4646,901 Check: 6,901 1,425 8,3269. Stretch Your Thinking Write an addition word problemin which the estimated sum is 14,000.Possible answer: Brandon walks 2,750 steps on Tuesday and 4,218 stepson Wednesday. He walks 6,854 steps on Friday. About how many stepsdoes Brandon walk during these three days?22UNIT 1 LESSON 11Subtract Greater Numbers Houghton Mifflin Harcourt Publishing Company Check: 5,464 891 6,3558. 8,326 - 1,425
Name1-12DateShow your work.Solve each problem.1. Mr. Chase is ordering 249 pencils, 600 sheets of paper,and 190 erasers. How many more sheets of paper thanpencils and erasers altogether is Mr. Chase ordering?161 more sheets of paper2. There were 623 people at the concert on Friday.On Saturday, 287 more people attended the concertthan attended on Friday. How many people in allattended the concert on Friday and Saturday?1,533 peopleAdd or subtract.3.695 4874.1,1826.49,527- 26,088 Houghton Mifflin Harcourt Publishing Company286,329 394,065680,394UNIT 1 LESSON 125.2,5147.23,4399.8,452- 5,93886,959- 38,48615,6228.48,47310.708,623- 421,882286,7415,895 9,72739,458 98,712138,17011.952,774- 613,386339,388Practice Addition and Subtraction23
Name1-12DateAdd or subtract.1.7,9823,5174,4652.600,000399,4103. 138,925 47,316200,590186,241Subtract. Then use addition to check the subtraction. Show your work.4. 4,652 -1,593 5. 30,000 - 26,931 3,059Check:3,059 1,593 4,652Subtract.7. 731,285 - 369,114 6. 896,581 - 355,274 3,069Check:3,069 26,931 30,000362,171541,307Check:541,307 355,274 896,5818. 645,803 - 52,196 593,607Possible answer: Jennie sells 348 family passes for the Science Centerin January. During the month of February, she sells 272 family passes.How many passes will Jennie need to sell in March to reach her goalof selling 750 family passes within three months?24UNIT 1 LESSON 12Practice Addition and Subtraction Houghton Mifflin Harcourt Publishing Company9. Stretch Your Thinking Write a two-step problem inwhich the answer is 130.
Name1-13DateAdd or subtract.1. 12,673 - 9,717 2,956 2. 8,406 45,286 53,692 3. 2,601 - 1,437 1,164Answer each question about the information in the table.Area of the Countries of Central AmericaCountryBelizeArea (square miles)8,867Costa Rica19,730El a49,998Panama30,1934. What is the total area of Guatemala and Honduras?Show your work.85,320 square miles5. Which two countries have the least area? What isthe sum of their areas? Houghton Mifflin Harcourt Publishing CompanyBelize and El Salvador; 16,991 square miles6. Which is greater: the area of Nicaragua or the totalarea of Costa Rica and Panama?The area of Nicaragua is greater.7. How much greater is the area of Honduras thanthe area of Guatemala?The area of Honduras is 1,236 square miles greater.UNIT 1 LESSON 13Problem Solving With Greater Numbers25
Name1-13DateSubtract. Then use addition to check the subtraction.1. 1,500 - 705 Check:7952. 9,523 - 8,756 795 705 1,500767 Check: 767 8,756 9,523The table shows how many fans attended a team’sbaseball games at the start of the season. Solve.Estimate to check.3. How many fewer people attended Game 4than Game 5?10,881 fewer peopleestimate: 46,000 - 35,000 11,0004. What was the difference between thegreatest number of fans and the leastnumber at a 465 peopleestimate: 68,000 - 10,000 58,000Add or subtract.7,452 3,80111,2536.2,155 5,8908,0457.293,635178,098115,5378. Stretch Your Thinking The equation 32,904 m 61,381shows that the number of females plus the number ofmales, m, living in a certain city equals the total population.Write a subtraction equation that represents the samesituation. How many males live in this city?Possible equation: 61,381 - 32,904 m.There are 28,477 males in this city.26UNIT 1 LESSON 13Problem Solving with Greater Numbers Houghton Mifflin Harcourt Publishing Company5.
1-14NameDateCompanies often use bar graphs to present information tothe media or stockholders. Data may show how attendanceor profits vary at different times of the year, or compare thesuccesses of different divisions or quarters of the year.1. Research attendance numbers for your favorite amusementpark, sporting team, or movie during five different periodsof time. Complete the table with your information.Check students’ tables.2. Use the grid below to graph the data in your table. Houghton Mifflin Harcourt Publishing CompanyCheck students’ graphs.UNIT 1 LESSON 14Focus on Mathematical Practices27
1-14NameDateSubtract.1. 958,299 - 63,419 894,8802. 9,523 - 8,756 767Add or subtract.3.5,191 2735,4644.13,687 25,1375.758,1946,029752,16538,824Answer each question about the information in the table.6. What is the total number of miles thetrucker drove in the last 2 years?Miles Driven by a TruckerYearMiles199875,2887. Which is greater, the increase in milesdriven between 1998 and 1999 or between1999 and 2000? What is that increase?1999117,3912000126,304200187,192the increase between 1998 and 1999;42,103 miles200294,386181,578 miles Houghton Mifflin Harcourt Publishing Company8. Stretch Your Thinking Look at the trucking datain the table for Exercises 6 and 7. How would youround the data to make a bar graph? What scalewould you use?Possible answer: Round the data to the nearest tenthousand and use a scale from 70,000 to 130,000.28UNIT 1 LESSON 14Focus on Mathematical Practices
Name2-1Date1. Label the sides of each rectangle.4a.59b.c.65d.4720e.20720f. Houghton Mifflin Harcourt Publishing Company52. Write the equation representing the area of eachrectangle shown above.6 9 545 4 20b.a.d.20 4 80e.7 20 140c.7 5 35f.5 20 100Find the area (in square units) of a rectangle with the given dimensions.3. 3 5 15 sq unitsUNIT 2 LESSON 14. 3 50 150 sq units5. 30 5 150 sq unitsArrays and Area Models29
Name2-1DateRead and write each number in expanded form.70 12. 2981. 71 3. 5,627 5,000 600 20 74. 3,054200 90 83,000 50 4Read and write each number in standard form.5. 500 80 36. 9,000 200 40 19,2415837. eight hundred seventeen8. one thousand, six hundred forty-six8171,646Read and write each number in word form.9. 90 710. 300 10 2ninety-seventhree hundred twelvefour thousand, one hundred eighty-five11. 4,000 100 80 512. 8,000 700 6 eight thousand, seven hundred six54Possible drawing shown. Emmy planted 20 onionbulbs. The patch is 20 square feet. Possible answer:she could have planted 5 rows with 4 onion bulbsin each row, or 10 rows with 2 onion bulbs in eachrow, or 2 rows with 10 onion bulbs in each row.30UNIT 2 LESSON 1Arrays and Area Models Houghton Mifflin Harcourt Publishing Company13. Stretch Your Thinking Emmy planted onion bulbs in herbackyard garden, giving each bulb one square foot ofspace. She arranged the onion bulbs in a rectangulararray of 4 rows with 5 in each row. Make a sketch ofEmmy’s onion patch. How many onion bulbs did sheplant? What is the area of the onion patch? Identifythree other rectangular arrangements Emmy couldhave used to plant these onion bulbs.
Name2-2DateSolve each problem.31. 10 2. 10 6 tens 6 hundreds, or 600 3 tensFollow the directions.3. Divide the 30 40 rectangle into 10-by-10 squaresof 100 to help find the area.30 1040 1010 10 10010 10 10 100 1010 10 1001010 10 100 10 10 10 10010 10 10010 10 10010 10 100 Houghton Mifflin Harcourt Publishing Company101010 10 10 10010 10 100 101010 10 100 10 10 10010 4 10)10104. Complete the steps to factor the tens.30 40 (3 10) ( (3 12 1,2004) (10 10) 1005. What is the area of the 30 40 rectangle, in square units?1,200 square unitsUNIT 2 LESSON 2Connect Place Value and Multiplication31
Name2-2DateWrite the number of thousands and the number ofhundreds in each number.1. 4,6722. 1,0233. s6hundredsRead and write each number in expanded form.4. twenty-five thousand, three hundred fifty-one20,000 5,000 300 50 15. five hundred six thousand, five hundred ninety-eight500,000 6,000 500 90 86. nine hundred thirteen thousand, eight hundred twenty-seven900,000 10,000 3,000 800 20 7Find the area (in square units) of a rectangle withthe given dimensions.24 sq units8. 4 60240 sq units9. 9 218 sq units10. 90 2180 sq units11. 3 721 sq units12. 70 3210 sq units13. Stretch Your Thinking Li is using place value tomultiply 90 30.90 30 (9 10) (3 10) (9 3) (10 10) 27 10 270Is Li’s answer correct? Explain.Li multiplied 10 10 and wrote 10, but 10 tens is 100.The correct answer is 27 hundreds, which is 2,700.32UNIT 2 LESSON 2Connect Place Value and Multiplication Houghton Mifflin Harcourt Publishing Company7. 4 6
2-3NameDateFind each product by factoring the tens. Draw rectanglesif you need to.1. 6 2, 6 20, and 6 20012; 12 10 120;2. 4 8, 4 80, and 4 80032; 32 10 320;32 100 3,20012 100 1,2003. 5 5, 5 50, and 5 50025; 25 10 250;4. 5 9, 50 9, and 500 945; 45 10 450;45 100 4,500;25 100 2,5005. 6 5, 60 5, and 60 5030; 30 10 300;6. 7 6, 70 6, and 70 6042; 42 10 420;30 100 3,00042 100 4
Read and write each number in standard form. Read and write each number in expanded form. Read and write each number in word form. 11. 300 20 5 12. 5,000 700 40 8 13. 9,000 400 6 Read and write each number in standard form. 14. seventy-six 15. three hundred one 16. four thousand, two hundred sixteen 17. five thousand, one hundred .
