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. 6,170tenstenstensonesonesonesWrite the number of thousands and the number ofhundreds in each number.4. 4,9825. 3166. ndreds Houghton Mifflin Harcourt Publishing CompanyMake a place-value drawing for each number, using ones,quick tens, hundred boxes, and thousand bars.7. 368. 5109. 40310. 1,072UNIT 1 LESSON 1Place Value to Thousands1
1-1NameDateMultiply or divide.1. 8 3 2. 40 4 3. 27 9 4. 7 6 5. 2 8 6. 6 5 Use the diagram to complete Exercises 7–10.Write two related multiplication problems for the diagram.7.8.Write two related division problems for the diagram.9.10.2UNIT 1 LESSON 1 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.Place Value to Thousands
1-2NameDateRead and write each number in standard form.1. 90 22. 600 80 93. 2,000 800 50 74. 3,000 80 5Read and write each number in expanded form.5. 486. 9547. 6,3218. 4,3069. 1,56310. 2,840Read and write each number in word form.11. 300 20 512. 5,000 700 40 813. 9,000 400 6Read and write each number in standard form.14. seventy-six Houghton Mifflin Harcourt Publishing Company15. three hundred one16. four thousand, two hundred sixteen17. five thousand, one hundred forty-twoWrite the value of the underlined digit.18. 287UNIT 1 LESSON 219. 8,79220. 7,812Place Value Patterns3
Name1-2DateMultiply or divide.1. 6 4 2. 56 8 3. 45 9 4. 6 6 5. 3 7 6. 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?Write the number of thousands and the number ofhundreds in each number.9. 7,0268. 5,812thousandsthousandshundredshundredsMake a place value drawing for each number, usingones, quick tens, hundred boxes, and thousand bars.10. 60311. 3,187 Houghton Mifflin Harcourt Publishing Company12. 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.4UNIT 1 LESSON 2Place Value Patterns
1-3NameDateRound each number to the nearest ten.1. 462. 3813. 4,1754. 5,024Round each number to the nearest hundred.5. 7896. 9717. 2,7598. 3,148Round each number to the nearest thousand.9. 6,57810. 4,48911. 8,09912. 2,761Compare using , , or . 4,83516. 7,235 6,98713. 4,538 3,44917. 4,004 4,03414. 3,554 1,29818. 5,609 5,05915. 1,289Solve. Houghton Mifflin Harcourt Publishing Company19. When you round a number, which digit in the numberhelps you decide to round up or round down? Explainyour answer.20. When you round a number, what should you do withthe digits to the right of the place to which youare rounding?UNIT 1 LESSON 3Round Numbers5
Name1-3DateFind the unknown number.1. 4 8 2. 42 7 3. 63 94.5. 9 816.7. 21 7 5 40 6 108. 10 100Write the number of tens and the number of ones ineach number.9. 60710. 9,324tenstensonesonesRead and write each number in standard form.12. 500 70 913. 1,000 200 50 814. 8,000 70 7 Houghton Mifflin Harcourt Publishing Company11. 40 315. 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.6UNIT 1 LESSON 3Round Numbers
1-4NameDateRead and write each number in expanded form.1. 39,0122. 640,7393. 102,4534. 460,053Read and write each number in word form.5. 1,000,0006. 730,8127. 45,0398. 600,439 Houghton Mifflin Harcourt Publishing CompanyRead and write each number in expanded form.9. nine hundred twenty-threethousand, nine hundredtwenty-three10. one hundred forty thousand, onehundred four11. seventy-six thousand, five12. fifty-nine thousand, two hundredsixty-one13. seven hundred thousand, fourhundred thirty14. thirty-one thousand, two hundredseventy-nineUNIT 1 LESSON 4Numbers to One Million7
Name1-4DateUse the numbers 7, 9, and 63 to complete the related equations.1. 7 3. 2. 9 74. 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?Read and write each number in expanded form.6. 867. 4218. 7,9159. 3,402Write the value of the underlined digit.10. 48911. 7,49312. 1,506Round each number to the nearest ten. Houghton Mifflin Harcourt Publishing Company13. 4714. 6,022Round each number to the nearest hundred.15. 67216. 3,94017. Stretch Your Thinking How many zeros are in thestandard form of six hundred thousand, twenty? Explain.8UNIT 1 LESSON 4Numbers to One Million
1-5NameDateCompare using , , or . 57,8603. 154,424 145,4245. 89,175 89,175 24,1654. 836,245 683,6426. 100,000 1,000,0002. 24,5161. 57,068Round to the nearest ten thousand.7. 11,2958. 82,9649. 97,079Round to the nearest hundred thousand.10. 153,39411. 410,18812. 960,01313. 837,682Solve.14. What would 672,831 be rounded to the nearest:a. ten?b. hundred?c. thousand? Houghton Mifflin Harcourt Publishing Companyd. ten thousand?e. hundred thousand?15. 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.UNIT 1 LESSON 5Compare and Round Greater Numbers9
1-5NameDateFind the unknown value in the number sentence.1. 8 k 16k 2. n 9 90n 3. 35 t 5t 4. p 6 9p Solve.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?Round each number to the nearest thousand.6. 2,9507. 4,307Read and write each number in word form.8. 16,9779. 403,05610UNIT 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? Houghton Mifflin Harcourt Publishing Company2. 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.Use any method to add. On another sheet of paper, makea drawing for exercise 5 to show your new groups.3.1,389 5,8764.3,195 2,6745.1,165 7,3416.2,653 4,9087.3,692 7,5438.8,598 5,5629.4,295 8,41610.6,096 9,432UNIT 1 LESSON 6Make New Groups for Addition11
Name1-6DateMultiply or divide.1. 81 9 2. 7 4 3. 9 3 4. 24 4 5.6.7 87. 10 805 78. 7 42Read and write each number in expanded form.9. eighty-six thousand, nine hundred twenty-one10. nine hundred twenty thousand, four hundred thirteenCompare using , , or . 43,80014. 999,999 1,000,00012. 438,00015. Stretch Your Thinking Find the unknown digits in thefollowing addition problem.3,6 4, 92, 5 3 612UNIT 1 LESSON 6Make New Groups for Addition Houghton Mifflin Harcourt Publishing Company 36,29013. 298,150 298,10511. 36,290
1-7NameDateCopy each exercise, lining up the placescorrectly. Then add.1. 51,472 7,0782. 94,280 56,1733. 1,824 36,7394. 372,608 51,6255. 314,759 509,0286. 614,702 339,8087. 493,169 270,5418. 168,739 94,035 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 ace 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.10. Which two lakes have a combined surface area of30,313 square miles?UNIT 1 LESSON 7Add Greater Numbers13
Name1-7DateMultiply or divide.1. 30 5 2. 8 7 3. 4 6 4. 70 7 5. 3 9 6. 36 6 Compare using , , or . 62, 9909. 134,657 134,257 394,02710. 93,862 93,8628. 389,1517. 6,299Use any method to add.11.1,362 6,50912.3,893 5,24513.6,399 7,438 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 614UNIT 1 LESSON 7Add Greater Numbers
Name1-8DateWrite a number sentence that shows an estimate of eachanswer. Then write the exact answer.1. 69 252. 259 433. 2,009 9954.537 45.3854 526.284432 467.243625 3878.154131204 179Show your work.Solve.9. Paul’s stamp collection includes 192 domestic and811 foreign stamps.About how many domestic and foreign stamps doesPaul have altogether? Houghton Mifflin Harcourt Publishing CompanyExactly how many domestic and foreign stampsdoes Paul have altogether?10. Plane A travels 102,495 miles. Plane B travels 91,378 miles.How many miles in all do the two planes travel?Explain how you can use estimation to check that youranswer is reasonable.UNIT 1 LESSON 8Estimation and Mental Math15
1-8NameDateWhat is 362,584 rounded to the nearest:1. hundred?2. thousand?3. ten thousand?4. hundred thousand?Use any method to add.5.2,938 4,2716.8,305 1,4677.8,074 3,552Copy each exercise, lining up the places correctly. Then add.8. 45,296 38,3029. 293,017 58,22616UNIT 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.
1-9NameDateSubtract. Show your new ,609Solve.Show 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?14. A census counted 5,407 people in Marina’s hometown. If 3,589 are males, how many are females?15. 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?UNIT 1 LESSON 9Subtract from Thousands17
1-9NameDateUse any method to add.1.6,022 1,9882.4,586 1,6933.8,374 3,707The 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?Litter Collected on Earth Day5. Which two years had a combinedlitter collection of 23,456 pounds?YearPounds of Litter20078,293200812,104200915,877201011,352Write an equation that shows an estimate of eachanswer. Then write the exact answer.7. 7,203 2998. 2,859 6,0179. Stretch Your Thinking Bridget ungrouped 5,000 asshown. Use your understanding of place value toexplain how the ungrouped number is equal to 5,000.18UNIT 1 LESSON 94 9 9 105,000-2,896Subtract from Thousands Houghton Mifflin Harcourt Publishing Company6. 495 812
1-10NameDateSubtract. Then use addition to check the subtraction.Show your work.1. 1,400 - 238 Check:3. 4,620 - 1,710 Check:5. 3,142 - 1,261 Check:2. 1,900 - 1,238 Check:4. 5,243 - 2,454 Check:6. 2,375 - 896 Check: 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?8. 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?UNIT 1 LESSON 10Subtraction Undoes Addition19
1-10NameDateCopy each exercise, lining up the places correctly. Then add.1. 32,418 508,1822. 734,150 60,382Show your work.Solve.3. The entire fourth grade is made up of 102 boysand 86 girls. About how many students are in thefourth grade altogether?Exactly how many students are in thefourth grade altogether?Subtract. Show your new groups.4.5,0002,5835.8,2593,7166.6,2652,94820UNIT 1 LESSON 10Subtraction 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.2,0811,733
Name1-11DateSubtract.1.71,824- 36,7392.960,739- 894,0453.665,717- 82,8244.372,608- 57,4255.597,603- 404,9806.614,702- 539,5087.724,35999,0688.394,280- 56,473In 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?10. How many more bacteria were in dish A than in dish D?11. How many fewer bacteria were in dish E thanin the combined dish C and dish D?UNIT 1 LESSON 11Subtract Greater Numbers21
1-11NameDateWrite an equation that shows an estimate of eachanswer. Then write the exact answer.1. 503 692. 2,825 2123. 6,190 3,858Subtract. Show your new t. Then use addition to check the subtraction. Show your work.7. 6,355 - 891 Houghton Mifflin Harcourt Publishing CompanyCheck:8. 8,326 - 1,425 Check:9. Stretch Your Thinking Write an addition word problemin which the estimated sum is 14,000.22UNIT 1 LESSON 11Subtract Greater Numbers
1-12NameDateShow 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?2. 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? Houghton Mifflin Harcourt Publishing CompanyAdd or subtract.3.695 4874.8,452- 5,9385.5,895 9,7276.49,527- 26,0887.86,959- 38,4868.39,458 98,7129.286,329 394,06510.708,623- 421,88211.952,774- 613,386UNIT 1 LESSON 12Practice Addition and Subtraction23
1-12NameDateAdd or subtract.1.7,9823,5172.600,000399,4103. 138,925 47,316Subtract. Then use addition to check the subtraction. Show your work.4. 4,652 -1,593 Check:5. 30,000 - 26,931 Check:6. 896,581 - 355,274 Check:Subtract.7. 731,285 - 369,114 8. 645,803 - 52,196 Houghton Mifflin Harcourt Publishing Company9. Stretch Your Thinking Write a two-step problem inwhich the answer is 130.24UNIT 1 LESSON 12Practice Addition and Subtraction
Name1-13DateAdd or subtract.1. 12,673 - 9,717 2. 8,406 45,286 3. 2,601 - 1,437 Answer 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. Houghton Mifflin Harcourt Publishing Company5. Which two countries have the least area? What isthe sum of their areas?6. Which is greater: the area of Nicaragua or the totalarea of Costa Rica and Panama?7. How much greater is the area of Honduras thanthe area of Guatemala?UNIT 1 LESSON 13Problem Solving With Greater Numbers25
1-13NameDateSubtract. Then use addition to check the subtraction.1. 1,500 - 705 2. 9,523 - 8,756 Check:Check:The 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?4. What was the difference between thegreatest number of fans and the leastnumber at a game?GameFans168,391242,90839,926435,317546,198Add or subtract.7,452 3,8016.2,155 5,8907.293,635178,0988. 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?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. Houghton Mifflin Harcourt Publishing Company2. Use the grid below to graph the data in your table.UNIT 1 LESSON 14Focus on Mathematical Practices27
1-14NameDateSubtract.1. 958,299 - 63,419 2. 9,523 - 8,756 Add or subtract.3.5,191 2734.13,687 25,1375.758,1946,029Answer each question about the information in the table.6. What is the total number of miles thetrucker drove in the last 2 years?7. Which is greater, the increase in milesdriven between 1998 and 1999 or between1999 and 2000? What is that increase?Miles Driven by a 0187,192200294,386 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?28UNIT 1 LESSON 14Focus on Mathematical Practices
Name2-1Date1. Label the sides of each rectangle.a.b.c.d.e. Houghton Mifflin Harcourt Publishing Companyf.2. Write the equation representing the area of eachrectangle shown above.a.b.c.d.e.f.Find the area (in square units) of a rectangle with the given dimensions.3. 3 5UNIT 2 LESSON 14. 3 505. 30 5Arrays and Area Models29
2-1NameDateRead and write each number in expanded form.1. 712. 2983. 5,6274. 3,054Read and write each number in standard form.5. 500 80 36. 9,000 200 40 17. eight hundred seventeen8. one thousand, six hundred forty-sixRead and write each number in word form.9. 90 710. 300 10 211. 4,000 100 80 512. 8,000 700 630UNIT 2 LESSON 1 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.Arrays and Area Models
Name2-2DateSolve each problem.1. 10 3 tens2. 10 6 tens Follow the directions. Houghton Mifflin Harcourt Publishing Company3. Divide the 30 40 rectangle into 10-by-10 squaresof 100 to help find the area.4. Complete the steps to factor the tens.30 40 ( ( 10) ( 10)) (10 10) 100 5. What is the area of the 30 40 rectangle, in square units?UNIT 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. redsRead and write each number in expanded form.4. twenty-five thousand, three hundred fifty-one5. five hundred six thousand, five hundred ninety-eight6. nine hundred thirteen thousand, eight hundred twenty-sevenFind the area (in square units) of a rectangle withthe given dimensions.8. 4 609. 9 210. 90 211. 3 712. 70 3 Houghton Mifflin Harcourt Publishing Company7. 4 613. 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.32UNIT 2 LESSON 2Connect Place Value and Multiplication
2-3NameDateFind each product by factoring the tens. Draw rectanglesif you need to.1. 6 2, 6 20, and 6 2002. 4 8, 4 80, and 4 8003. 5 5, 5 50, and 5 5004. 5 9, 50 9, and 500 95. 6 5, 60 5, and 60 506. 7 6, 70 6, and 70 60On a sheet of grid paper, draw two different arrays ofconnected squares for each total. Label the sides andwrite the multiplication equation for each of your arrays. Houghton Mifflin Harcourt Publishing Company7. 18 squares8. 20 squares9. 24 squaresUNIT 2 LESSON 3Mental Math and Multiplication33
2-3NameDateAdd or subtract.1.2.2,728 7,24583,054 1,4963.27,3009,638Use any method to add.4.4,335 2,6945.3,806 8,1296.6,401 7,7637.9,826 8,531Solve each problem.8. 10 6 tens 10 2 tens10.12. 10 4 tens 14. 10 9. 10 9 11.13. 10 8 tens15. 10 5 tens 7 hundreds 10 3 tens34UNIT 2 LESSON 3 Houghton Mifflin Harcourt Publishing Company16. Stretch Your Thinking Lucas says that since 40 70and 60 50 both have factors with a total of twozeros, they will both have products with a total oftwo zeros. Is he correct? Explain.Mental Math and Multiplication
Name2-4DateDraw a rectangle. Find the tens product, the ones product,and the total product. The first one is done for you.1. 5 393039 52. 7 325 x 30 1503. 9 54 95x9 45150 451954. 3 47Show your work.Solve each problem. Houghton Mifflin Harcourt Publishing Company5. Maria’s flower garden is 14 feet long and 3 feetwide. How many square feet is her garden?6. Maria planted 15 trays of flowers. Each tray had6 flowers in it. How many flowers did she plant?7. Write and solve a multiplication word problemabout your family.UNIT 2 LESSON 4Model One-Digit by Two-Digit Multiplication35
2-4NameDateRound each number to the nearest hundred.2. 7291. 2833. 954Round each number to the nearest thousand.4. 4,0925. 6,5506. 5,381Compare using , , or .7. 92,8009. 478,39092,830478,3908. 165,000156,00010. 736,21889,479Find each product by factoring the tens. Draw rectanglesif you need to.11. 3 2, 3 20, and 3 20012. 7 3, 7 30, and 7 300 30 5436UNIT 2 LESSON 4Model One-Digit by Two-Digit Multiplication Houghton Mifflin Harcourt Publishing Company13. Stretch Your Thinking Write a word problem thatcould be solved using the rectangle model shown.Then solve the problem by finding the tens product,the ones product, and the total product.
2-5NameDateEstimate each product. Solve to check your estimate.1. 4 262. 5 633. 7 954. 4 845. 2 926. 3 76Estimate the answers. Then solve each problem.Show your work.7. The Bicycling Club is participating in a cycling event.There are 65 teams registered for the event.Each team has a total of 8 cyclists. How many cyclistswill participate in the event? Houghton Mifflin Harcourt Publishing Company8. The theater group is making costumes for their play.There are 9 costume changes for each of the 23 performers.How many costumes does the theater group need?9. The town library shows 6 different books each day in thedisplay case. The library is open 27 days in one month.How many books does the library need for the display?Write and solve a multiplication word problem.10.UNIT 2 LESSON 5Estimate Products37
2-5NameDateEstimate each sum. Then solve to checkyour estimate.1. 288 609Show your work.Solve.2. During one weekend, a museum had 7,850 visitors onSaturday and 5,759 visitors on Sunday.About how many visitors were there that weekend?Exactly how many visitors were there that weekend?Draw a rectangle model. Find the tens product, the onesproduct, and the total product.3. 7 424. 5 6738UNIT 2 LESSON 5 Houghton Mifflin Harcourt Publishing Company5. Stretch Your Thinking Marcia says she can use roundingto find the exact product of 6 75. She says that since75 is halfway between 7 tens and 8 tens, the exactproduct of 6 75 must be halfway between6 70 and 6 80. Is she correct? Explain.Estimate Products
Name2-6DateUse the Place Value Sections Method to solvethe problem. Complete the steps.1. 9 8686 9 80 6 9 Use the Expanded Notation Method to solvethe problem. Complete the steps.2. 4 6767 460 67 4 74 Houghton Mifflin Harcourt Publishing CompanyUse any method to solve. Draw a rectangularmodel to represent the problem. Show your work.3. Natalia read her new book for 45 minutes eachday for one week. How many minutes did sheread after 7 days?UNIT 2 LESSON 6Use Place Value to Multiply39
2-6NameDateThe table shows the approximate height of the world’sfive tallest mountain peaks. Use the data in the table tohelp answer the following questions.1. How tall are the two tallestmountain peaks combined?2. Which two mountain peakscombined are 56,190 feet tall?MountainHeight (in 028,16927,94027,766Subtract.3. 586,720 - 293,415 4. 917,336 - 904,582 Estimate each product. Solve to check your estimate.5. 5 396. 6 647. 9 238. 7 48 Houghton Mifflin Harcourt Publishing Company9. Stretch Your Thinking Explain how the ExpandedNotation Method is used to multiply 82 3.40UNIT 2 LESSON 6Use Place Value to Multiply
Name2-7DateUse the Algebraic Notation Method to solveeach problem. Complete the steps.1. 7 5353 7 53 ( ) ) 350 21 3712. 4 38 4 38 ( Houghton Mifflin Harcourt Publishing CompanyDraw an area model and use the Algebraic NotationMethod to solve the problem.Show your work.3. Mr. Henderson needs to get plywood to buildhis flatbed trailer. The flatbed is 8 feet by 45 feet.What is the area of the flatbed Mr. Hendersonneeds to cover with plywood?UNIT 2 LESSON 7Algebraic Notation Method41
2-7NameDateSubtract. Show your new 1,2005.6,1933,2956.4,0062,631Use the Expanded Notation Method to solve the problem.Complete the steps.7. 5 688. Stretch Your Thinking Jenna made 6 bracelets using32 beads each. Kayla made 7 bracelets using 29 beadseach. Who used more beads? Use the DistributiveProperty to solve the problem. Houghton Mifflin Harcourt Publishing Company42UNIT 2 LESSON 7Algebraic Notation Method
2-8NameDateUse any method to solve. Sketch a rectangle model,if you need to.1. 7 622. 6 633. 6 824. 57 75. 5 766. 4 657. 7 838. 36 99. 27 8Show your work. Houghton Mifflin Harcourt Publishing CompanySolve each problem.10. 94 people are sitting down to a fancy six-coursemeal. The first course is soup, which only needs aspoon. The rest of the courses each need freshforks. How many forks will be used?11. Leo uses plastic letters to make signs. A chain storeasks Leo to put signs in front of their 63 stores thatsay “SALE: HALF PRICE ON ALL DRESSES.” Howmany plastic “S” letters will Leo need?UNIT 2 LESSON 8Compare Methods of One-Digit by Two-Digit Multiplication43
2-8NameDateSubtract. Then use addition to check the subtraction.Show your work.1. 6,459 - 921 Check:3. 7,863 - 2,734 Check:2. 5,603 - 3,284 Check:4. 9,582 - 1,447 Check:Use the Algebraic Notation Method to solve each problem.Complete the steps.5. 4 936. 3 7844UNIT 2 LESSON 8Compare Methods of One-Digit by Two-Digit Multiplication Houghton Mifflin Harcourt Publishing Company7. Stretch Your Thinking Xander says that the Place ValueSections Method, the Expanded Notation Method, andthe Algebraic Notation Method of multiplying a one-digitnumber by a two-digit number are pretty much the same.Do you agree or disagree? Explain.
2-9NameDateSolve, using any numerical method. Use rounding andestimating to see if your answer makes sense.1.35 92.5.68 46.79 527 83.56 34.94 27.82 68.43 7Solve each problem.Show your work. Houghton Mifflin Harcourt Publishing Company9. Describe how you solved one of the exercises above.Write at
Homework and Remembering Grade 4 Volume 1 1497480-LV 4 Volume 1 H
