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NamePractice2-7Subtracting DecimalsSubtract.1.92.1 32.659.55. 8.7 0.3 2.8.452.7 36.93.15.885.76 12.9864.72.77430.37221.986. 23.3 1.32 32.7 2.3287. Number Sense Kelly subtracted 2.3 from 20 and got 17.7. Explain why thisanswer is reasonable.A good estimate is 20 2 18, whichis close to 17.7.8. What was the time for the first-place swimmer?8.01 sec9. What was the difference in time betweenthe second- and third-place swimmers?4.32 sec10. Miami’s annual precipitation in 2000 was 61.05 in. Albany’swas 46.92 in. How much greater was Miami’s precipitationthan Albany’s?A 107.97 in.B 54.31 in.C 14.93 in.D 14.13 in.11. Explain It Explain how to subtract 7.6 from 20.39.Sample answer: Write the numbers,lining up the decimal points. Writezeros to show place value. Subtract thehundredths, the tenths, and the ones.Place the decimal point in the answer.Topic 2 Pearson Education, Inc. 5Practice 2-7At a local swim meet, the second-place swimmer of the 100-mfreestyle had a time of 9.33 sec. The first-place swimmer’s timewas 1.32 sec faster than the second-place swimmer. The thirdplace time was 13.65 sec.

NameProblem Solving:Multiple-Step ProblemsPractice2-8Solve.1. Theater tickets for children cost 5. Adult tickets cost 3 more.If 2 adults and 2 children buy theater tickets, what is the total cost? 262. Luis has a 10 bill and three 5 bills. He spends 12.75 on theentrance fee to an amusement park and 8.50 on snacks.How much money does he have left? 3.753. Number Sense Alexandra earns 125 from her paper routeeach month, but she spends about 20 each month on personalexpenses. To pay for a school trip that costs 800, about howmany months does she need to save money? Explain.4. Critical Thinking Patty is a member of the environmental club. Eachweekday, she volunteers for 2 hours. On Saturday and Sunday, shevolunteers 3 hours more each day. Which expression shows how tofind the number of hours she volunteers in one week?A 2 5B 2 2 2 2 2 5 5C 2 2 2 3 3D 2 3 35. Explain It Marco’s goal is to eat only 2,000 calories each day. One dayfor breakfast he consumed 310 calories, for lunch he consumed 200 morecalories than breakfast, and for dinner he consumed 800. Did he make hisgoal? Explain.Yes: 310 ⴙ 510 ⴙ 800 ⴝ 1,620 calories.Topic 2 Pearson Education, Inc. 5Practice 2-8About 8 months, since she can saveabout 100 per month

NamePractice3-1Multiplication PropertiesIn 1 through 5, write the multiplication property used in eachequation.1. 53 6 6 532. 0 374,387 04. 42 1 425. 14 5 5 14Practice 3-13. 5 (11 4) (5 11) 4commutativezeroassociativeidentitycommutative6. Reasoning Chan bought 2 large frozen yogurts at 1.50 each and 1 smallbottle of water for 1.00. How much did she pay in total? 4.007. Dan has 4 shelves. He has exactly 10 books on each shelf. Judy has10 shelves. She has exactly 4 books on each shelf. Who has more books?Explain.They have the same number of books.4 ⴛ 10 ⴝ 10 ⴛ 48. Algebra If 3 8 12 8 3 n, what is the value of n?A 3B 8C 12D 18 Pearson Education, Inc. 59. Explain It Write a definition for the Associative Property of Multiplication inyour own words and explain how you would use it to compute 4 25 27mentally.Sample answer: Using the AssociativeProperty of Multiplication you cangroup (4 ⴛ 25) and multiply the productby 27 to get 2,700.Topic 3

NamePractice3- 2Using Mental Math to MultiplyUse mental math to find each product.1. 150 20 2. 0 50 800 3,00020,00004. 120 50 5. 60 70 1 4,2006,0008. 1,800 20 0 01,00010. 1,400 2,000 720,0009. 30 20 60011. 7,000 50 1 350,0002,800,0006. 9,000 80 12. 1,000 200 30 6,000,00013. Number Sense A googol is a large number that is the digit one followed byone hundred zeros. If you multiply a googol by 100, how many zeros will thatproduct have?102 zeros14. Gregorios drives 200 miles per day for 10 days. How many miles did he drivein all?2,000 miles15. Algebra If a b c 0, and a and b are integers greater than 10,what must c equal?A 0B 1C 2D 10 Pearson Education, Inc. 516. Explain It SungHee empties her piggy bank and finds that she has 200 quarters,150 dimes, and 300 pennies. How much money does she have? Explain.(200 ⴛ 25) ⴙ (150 ⴛ 10) ⴙ (300 ⴛ 1) ⴝ5,000 ⴙ 1,500 ⴙ 300 ⴝ 6,800 cents, soshe has 68 dollars.Topic 3Practice 3-27. 100 10 1 3. 500 40

NamePractice3-3Estimating ProductsEstimate each product.1. 68 21 2. 5 101 1,4004. 99 99 5. 87 403 6. 19 718 36,0008. 47 29 11 14,0009. 70 27 11. 7 616 2,10012. 8,880 30 4,20028,000270,00013. Number Sense Give three numbers whose product is about 9,000.Possible answer: 99 x 10 x 9Electronics Prices14. About how much would it cost to buy4 CD/MP3 players and 3 MP3 players?About 1,100CD player 74.00MP3 player 99.00CD/MP3 player 199.00AM/FM radio 29.0015. Which is the closest estimate for theproduct of 2 19 5?A 1,150B 200C 125D 50 Pearson Education, Inc. 516. Explain It Explain how you know whether an estimate of a product is anoverestimate or an underestimate.Sample answer: If the numbers arerounded down, it is an underestimate.If the numbers are rounded up, it is anoverestimate.Topic 3Practice 3-315,0002,00010. 69 21 23 3,00050010,0007. 39 51 3. 151 21

NamePractice3-4Multiplying by 1-DigitNumbersFind each product. Estimate to check that youranswer is reasonable.1. 58 3 3. 83 5 5. 273 4 7. 789 6 9.68 210.582 52. 49 8 4. 95 6 6. 35 8 8. 643 7 11.2,9103925702804,50184 433613. Xavier painted five portraits and wants tosell them for 36 dollars each. How muchmoney will he make if he sells all five? 18014. A farmer wants to build a square pigpen. Thelength of one side of the pen is 13 ft. Howmany feet of fencing should the farmer buy?52 ft15. Jasmine wants to buy 4 green bagsfor 18 dollars each and 3 purple bags for15 dollars each. She has 100 dollars.How much more money does she need? 1712.926 76,48216. Geometry A regular octagon is a figure that has eight sides with equallengths. If one side of a regular octagon is 14 inches long, what is theperimeter of the entire octagon?A 148 in.B 140 in.C 112 in.D 84 in. Pearson Education, Inc. 517. Explain It Why is 2,482 not a reasonable answer for 542 6?Sample answer: 542 ⴛ 6 is about 3,000;3,000 is an underestimate, so 2,482 isnot a reasonable answer.Topic 3Practice 3-41361744151,0924,734

NamePractice3-5Multiplying 2-Digit by2-Digit NumbersFind each product. Estimate to check that your answer isreasonable.1.56 341,9045.64 513,2642.45 763.3,4206.47 301,41035 155257.56 191,0649. To pay for a sofa, Maddie made a paymentof 64 dollars each month for one year. Howmuch did the sofa cost ?47 944,4188.92 494,508 768384 cubic feet11. Estimation Katie is in charge of buying juice for the teachers’ breakfast party.If one teacher will drink between 18 and 22 ounces of juice, and there are32 teachers, which is the best estimate for the amount of juice Katie should buy?ABCDabout 200 ouncesabout 400 ouncesabout 600 ouncesabout 800 ounces Pearson Education, Inc. 512. Explain It Is 7,849 a reasonable answer for 49 49? Why or why not?Sample answer: No; 49 ⴛ 49 is about2,500; 2,500 is an overestimate, and7,849 is not close to 2,500.Topic 3Practice 3-510. Geometry To find the volume of a box, youmultiply the length times the width times theheight. What is the volume, in cubic feet, ofa box that is 3 ft long, 8 ft wide, and 16 ft high?4.

NamePractice3-6Multiplying Greater NumbersFind each product. Estimate to check that youranswer is reasonable.1.556 342.234 753.395 764.483 5718,90417,55030,02027,5315.6.7.8.628 3320,724154 355,390643 4931,507536 9450,3849. Number Sense In a class of 24 students, 13 students sold over 150 raffletickets each, and the rest of the class sold about 60 raffle tickets each. Theclass goal was to sell 2,000 tickets. Did they reach their goal? Explain.Sample answer: Yes; 13 ⴛ 150 ⴝ 1,950and the rest of the class sold more than50, so they went over their goal of 2,000.21,780 feet11. Player B’s longest home run distance is 500 ft.There are 5,280 ft in 1 mi. How many homeruns would Player B need to hit at his longestdistance for the total to be greater than 1 mi?11 home runs12. Algebra Which equation shows how you can find thenumber of minutes in one year? Pearson Education, Inc. 5ABCD60 24 36560 60 2460 36560 60 36513. Explain It Write a real-world problem where you would have to multiply 120and 75.Check students’ work.Topic 3Practice 3-610. Player A’s longest home run distance is 484 ft.If Player A hits 45 home runs at his longestdistance, what would the total distance be?

NamePractice3-7ExponentsFor questions 1–4, write in exponential notation.1. 13 13 133. 64 641336422. 8 8 8 8 8 84. 4 4 4 4 4 4 4 4For questions 5–8, write in expanded form.2 2 2 2 2 6.11 11 11 11 11 8.5. 257.4864820 209 cubed 9 9 920 squaredFor questions 9–12, write in standard form.647,7769. 4 4 411. 651969 9 9 9 6,56110. 14 squared12.ABCD5 5 5 55 55 5 55 5 5 5 514. Number Sense Find the number equal to 6 raised to thesecond power.ABCD183661215. Explain It Explain what 4 raised to the fourth power means.4 raised to the fourth power meansfour factors of 4 multiplied together:4 4 4 4.Topic 3 Pearson Education, Inc. 5Practice 3-713. Number Sense Which of these numbers, written inexpanded form, is equal to 625?

NamePractice3-8Problem Solving: Draw aPicture and Write an EquationDraw a picture and write an equation. Then solve.1. When Mary was born, she weighed 8 pounds. When she was10 years old, she weighed 10 times as much. How much didshe weigh when she was 10 years old?8 ⴛ 10 ⴝ n; n ⴝ 80 lb2. Sandi is 13 years old. Karla is 3 times Sandi’s age. How oldis Karla?13 ⴛ 3 ⴝ n; n ⴝ 393. Reasoning Hwong can fit 12 packets of coffee in a smallbox and 50 packets of coffee in a large box. Hwong has10 small boxes and would like to reorganize them into largeboxes. Which boxes should he use? Explain.Since 10 small boxes is 120 packetsof coffee, he can use 2 large boxes and2 small boxes.A 24B 36C 84D 965. Explain It William travels only on Saturdays and Sundaysand has flown 400 miles this month. Jason travels everyweekday and has flown 500 miles this month. Who travelsmore miles per day? Explain.William; he travels only two days perweek but has flown almost the samenumber of miles this month as Jason.Topic 3 Pearson Education, Inc. 5Practice 3-84. Number Sense Daniel has 12 tennis balls. Manuel has twiceas many tennis balls as Daniel. Kendra has twice as manyballs as Manuel. How many tennis balls do they have in all?

NamePractice4-1Dividing Multiplesof 10 and 100Use mental math to find each quotient.1. 27 9 2. 270 9 33. 2,700 9 305. 240 4 66. 2,400 4 607. 720 9 6008. 140 7 809. 2,100 3 2070010. If a bike race covers 120 mi over 6 days and thecyclists ride the same distance each day, howmany miles does each cyclist ride each day?20 miUse mental math to answer the following questions.11. If the vehicles are divided evenlybetween the sections, how manyvehicles are in each section?Dealership Vehicle StorageSections of vehicles . 4Vehicles for sale . 1,200Rows per section .10300 vehicles12. If the vehicles are divided evenly betweenthe rows in each section, how manyvehicles are in each row?13. Algebra If 160,000 n 4, find n.30 Vehicles40,00014. Find 32,000 8 mentally. Pearson Education, Inc. 5A 4,000B 400C 40D 415. Explain It Solve the equation n 50 5,000. Explain your solution.nⴝ 100; Sample answer: Divide eachside by 50.Topic 4Practice 4-14. 24 4 300

NamePractice4-2Estimating QuotientsSample answersfor 1–8.MultiplicationRoundingRoundingCompatible numbersRoundingCompatible numbersMultiplicationEstimate each quotient. Tell which method you used.1. 195 42. 283 53. 766 85. 395.20 56. 31.75 87. 247.80 58. Reasoning If you use 63.00 9 to estimate 62.59 9, is 7.00 greaterthan or less than the exact answer? Explain.Greater than; 9 ⴛ 7 ⴝ 63, which isgreater than 62.59.9. A band played 3 concerts and10. At a department store, a woman’searned a total of 321.00. The bandtotal was 284.00 for 7 items.earned about the same amount forEstimate the average cost per item.each concert. Estimate how muchthe band earned each night.About 40.00About 100 eachnight11. Which is the closest estimate for 213 4? Pearson Education, Inc. 5A 50B 40C 30D 2012. Explain It Explain how to estimate 524 9.Sample answer: Round 524 to 500, 9 to10, and divide: 500 ⴜ 10 ⴝ 50.Topic 4Practice 4-24. 179 250609090 80 4 50

NamePractice4-3Problem Solving:ReasonablenessSolve.1. One tray holds eight sandwiches.If there are 30 sandwiches in all,how many trays are needed?4 trays3. How many packets of pH paperdoes she need to order?84. How many cases of test tubesdoes she need to order?9Lab SuppliesItemNumber ofStudentsPacket of pH paper10Case of test tubes5Case of petri dishes4155. Algebra A loaf of banana bread serves 6 guests. There will be47 guests attending the faculty breakfast. Which expression showshow many loaves are needed to serve them all?A 47 divided by 6 is 7 R 5, so 7 loaves are needed.B 47 divided by 6 is 7 R 5, so 8 loaves are needed.C 47 plus 6 is 53, so 53 loaves are needed.D 47 minus 6 is 41, so 41 loaves are needed. Pearson Education, Inc. 56. Explain It You are in line at an amusement park. You count34 people in front of you. Each rollercoaster fits 11 people.How many rollercoasters must run before you can get on? Explain.3 rides must go by, and you will geton the fourth one.Topic 4Practice 4-3Mrs. Favicchio has 72 students in herscience class. The table shows howmany students can use each item oflab supplies she is ordering.2. There are 53 students on a fieldtrip. One chaperone is neededfor every 6 students. How manychaperones are needed?

NamePractice4-4Connecting Modelsand SymbolsAfter mowing lawns for one week, John put the money he earned onthe table. There were four 100 bills, three 10 bills, and five 1 bills.1. If John’s brother borrowed one of the 100 bills and replacedit with ten 10 bills,a. how many 100 bills would there be?b. how many 10 bills would there be?Three 100 billsThirteen 10 bills 1453. If John needed to divide the money evenly with fourother workers, how much would each person receive? 87Practice 4-42. If John needed to divide the money evenly with twoother workers, how much would each person receive?Complete each division problem. You may use play money ordraw diagrams to help.4.5.3 44 1 365 43 11 21 6 1 60 621 51 2 1 206. If 644.00 is divided equally among 7 people, how much willeach person receive?A 82.00B 92.00C 93.00D 103.00 Pearson Education, Inc. 57. Explain It Write a story problem using two 100 bills, nine 10 bills, andseven 1 bills.Sample answer: Karl borrowed 297from his sister. He pays her 33 eachweek. How many weeks will it take Karlto pay 297?Topic 4

NamePractice4-5Dividing by 1-DigitDivisorsFind each quotient.2931. 2 586188 R12. 3 565143 R33. 5 718149 R34. 4 599128 R26425. 5 593546. 6 23 R32107. 9 115 R79278. 8 9. How many miles will the Paez family driveeach day if they decide to take 5 days todrive 865 mi to Dallas?10. The Paez family decides they want to drive996 mi to Boston in 6 days. How manymiles will they drive each day?173 mi each day166 mi11. Reasonableness If a staff of 9 people had to clean a hotelwith 198 rooms, how many rooms would each person haveto clean if they divided the rooms equally?A 29B 25C 23D 22 Pearson Education, Inc. 512. Explain It Explain how to check the quotient from a division problem.Sample answer: You need to multiply thequotient by the divisor and then add theremainder. This should equal the dividend.Topic 4Practice 4-5The Paez family lives in Louisville, Kentucky, and has decided totake a road trip for their summer vacation.

NamePractice4-6Zeros in the QuotientFind each quotient. Check your answers by multiplying.1. 490 7 3. 916 3 470 R15. 2 94170305 R12. 326 3 4. 720 2 109 R16. 9 982108 R2360140 R38. 5 703105 R57. 7 7409. If there are 505 seats in an auditoriumdivided equally into 5 sections, howmany seats are in each section?101 seats10. A book company publishes 749 copies ofa novel and distributes them to 7 bookstores.If each bookstore were to receive the samenumber of copies, how many copies wouldbe sent to each store?107 copiesA 50B 100C 105Practice 4-611. In one year, Dolores and Tom’s four children saved 420 byrecycling cans. When they divided the money equally, howmuch money did each child receive?D 1,50012. Explain It Explain why estimating before you divide 624 6 helps you placethe first digit in the quotient. Pearson Education, Inc. 5Sample answer: By estimating youwill know if the answer will be in thehundreds, tens, or ones.Topic 4

NamePractice4-7Understanding FactorsList all the factors of each number.1. 362. 903. 841, 2, 3, 4, 6, 9, 12, 18, 361, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 901, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84Number Sense A number is divisible by 4 if the last two digitsare divisible by 4. Write yes on the line if the number is divisibleby 4 and no if it is not.4. 324Yes5. 634No6. 172Yes7. A class of 80 students is graduating from elementary school.The teachers need help figuring out how to line up thestudents for the ceremony. One row of 80 students would betoo long. What other ways could the students be arrangedfor the ceremony?2 rows of 40, 4 rows of 20, 5 rows of 16,8 rows of 10remainder9. Number Sense What factor pair is missing for 45 if youalready know 1 and 45, 5 and 9?A 7 and 6B 8 and 6C 3 and 15D. 4 and 12 Pearson Education, Inc. 510. Explain It Explain how to find all the factor pairs of 40.Sample answer: Follow the rules fordivisibility of 2, 3, 4, 5, 6, 9, and 10, andcheck if the number is divisible by7 and 8.Topic 4Practice 4-78. A number is divisible by another number when theafter division by that number is 0.

NamePractice4-8Prime and CompositeNumbersWrite whether each number is prime or composite.Composite 2.87 Composite 5.1. 214.Composite 3.62 Composite 6.36Prime23 Prime31Use factor trees to find the prime factorization of each number.7. 449. 132ⴛ2ⴛ111ⴛ138. 6310. 543ⴛ3ⴛ72ⴛ3ⴛ3ⴛ311. Number Sense Audrey says that the prime factorization of42 is 21 2. Is she correct? If not, tell why.Sample answer: Audrey is not correct. Since21 can be divided by 7 or 3, 21 is not prime.Composite; It ends with an evennumber, so it is divisible by 2.13. Which of the following is a prime number?A 105B 27C 19D 914. Explain It Does it matter what two factors you s

Mental Math Show how you can use mental math to add or subtract. 1. 70 90 30 2. 350 110 National Monuments Name State Acres George Washington Carver Missouri 210 Navajo Arizona 360 Fort Sumter South Carolina 200 Russell Cave Alabama 310 3. How many more acres are there at Navajo monument than at George Washington Carver monument? 4.