C H A PTE Whole Number Multiplication R C and Division
Transcript of C H A PTE Whole Number Multiplication R C and Division
CHAPTER
2 Whole Number Multiplication and Division
Lesson 2.1 Using a CalculatorUse your calculator in this lesson.
Add.
1. 3,85712,6845
2. 5,72912,8655
3. 1,89814,5735
4. 2,94814,6765
Subtract.
5. 4,21621,6785
6. 5,04221,8575
7. 26,111212,9355
8. 108,123215,9875
Multiply.
9. 2683945
10. 4793585
11. 1,5793485
12. 36,4503285
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Divide.
13. 6,356475
14. 6,344485
15. 2,6324475
16. 5,7964695
17. 15,6964365
18. 322,0774985
Use your calculator to solve this question.
19. Step 1 Writeanywholenumberbetween100and999.Step 2 Multiplythenumberby11.Step 3 Thenmultiplytheproductby91.
RepeatthethreestepsbychoosinganothernumberinStep1.Whatdoyounoticeabouttheanswers?
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Chapter 2 Lesson 2.1
Lesson 2.2 Multiplying by Tens, Hundreds, or ThousandsMultiply.
1. 383105 2. 7463105
3. 6243105 4. 8573105
5. 7583105 6. 6803105
Find the missing factors.
7. 6813 56,810
8. 31051,900
9. 4533 54,530
10. 1,9053 519,050
11. 310564,000
12. 3105808,000
Fill in the blanks.
13. 563805(563 )310
5 310
5
14. 7563405(7563 )310
5 310
5
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15. 6803505(6803 )310
5 310
5
16. 8573605( 3 )310
5 310
5
Multiply.
17. 38340 18. 572380
19. 490330 20. 375370
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Chapter 2 Lesson 2.2
Multiply.
21. 4731005 22. 32531005
23. 16831005 24. 23131,0005
25. 19231,0005 26. 75931,0005
Fill in the blanks.
27. 3863 538,600
28. 31005712,000
29. 6233 5623,000
30. 8163 581,600
31. 31,00057,910,000
32. 31,00055,200,000
Fill in the blanks.
33. 2436005(243 )3100
5 3100
5
34. 10834005(1083 )3100
5 3100
5
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35. 16035005(1603 )3100
5 3100
5
36. 3733,0005(373 )31,000
5 31,000
5
37. 10338,0005(1033 )31,000
5 31,000
5
38. 32534,0005(3253 )31,000
5 31,000
5
Multiply.
39. 2093700 40. 1463 9,000
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Chapter 2 Lesson 2.2
Lesson 2.3 Multiplying by Powers of TenMultiply.
1. 953105
9531025 3
5
9531035 3
5
2. 863105
8631025 3
5
8631035 3
5
3. 4533105
45331025 3
5
45331035 3
5
4. 1283105
12831025 3
5
12831035 3
5
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5. 6,2503105
6,25031025 3
5
6,25031035 3
5
6. 9,3603105
9,36031025 3
5
9,36031035 3
5
7. 248335 8. 347355
2483305 3473505
9. 137345 10. 564385
13734005 56438005
11. 526365 12. 196395
52636,0005 19639,0005
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Chapter 2 Lesson 2.3
Lesson 2.4 Multiplying by 2-Digit NumbersMultiply. Estimate to check if your answers are reasonable.
1. 46380 2. 53390
3. 49346 4. 58352
5. 37363 6. 65347
7. 86343 8. 96384
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Multiply. Estimate to check if your answers are reasonable.
9. 763340 10. 370360
11. 495327 12. 856356
13. 1,268339 14. 1,046393
15. 1,203378 16. 3,108324
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Chapter 2 Lesson 2.4
Lesson 2.5 Dividing by Tens, Hundreds, or ThousandsDivide.
1. 7,2004105 2. 2,8004105
3. 23,0004105 4. 680,0004105
Fill in the blanks.
5. 2,3204105
6. 4105160
7. 24,0004 52,400
8. 84,0004 58,400
9. 4105398
10. 41055,500
Fill in the blanks.
11. 9,3004305(9,3004 )43
5 43
5
12. 9,5004505(9,500410)4
5 4
5
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13. 126,0004605(126,000410)4
5 4
5
Divide.
14. 60,000440 15. 372,000460
16. 486,000490 17. 267,400470
Divide.
18. 4,80041005
19. 35,70041005
20. 79,00041,0005
21. 350,00041,0005
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Chapter 2 Lesson 2.5
Fill in the blanks.
22. 19,20041005
23. 410052,750
24. 77,0004 5770
25. 930,0004 5930
26. 41,0005514
27. 410056,800
Fill in the blanks.
28. 13,50043005(13,5004 )43
5 43
5
29. 85,00045005(85,0004100)4
5 4
5
30. 840,00044005(840,0004 )44
5 44
5
31. 924,00046,0005(924,0004 )46
5 46
5
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32. 981,00049,0005(981,00041,000)4
5 4
5
33. 756,00047,0005(756,0004 )47
5 47
5
Divide.
34. 12,4004400
35. 456,00043,000
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Chapter 2 Lesson 2.5
Lesson 2.6 Dividing by 2-Digit NumbersDivide.
1. 80420 2. 100418
3. 130443 4. 620452
5. 198423 6. 240434
7. 624429 8. 831445
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Estimate the quotient. Then divide.
9. 3,160440 10. 3,250450
11. 2,566424 12. 3,129438
13. 4,163442 14. 1,986451
15. 1,300449 16. 1,170461
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Chapter 2 Lesson 2.6
Lesson 2.7 Order of OperationsFind the value of each expression. Record each step.
1. 602201705
Step 1
Step 2
2. 20045375
Step 1
Step 2
3. 1002135431275
Step 1
Step 2
Step 3
4. 801108493105
Step 1
Step 2
Step 3
5. 42310272485
Step 1
Step 2
Step 3
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Find the value of each expression. Record each step.
6. 903(38218)41005
Step 1
Step 2
Step 3
7. (10028042)215345
Step 1
Step 2
Step 3
Step 4
Find the value of each expression.
8. 148152298
9. 5002165187
10. 363849
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Chapter 2 Lesson 2.7
11 . 9734735
12. 30021238
13. 156171244
14. 494739230
15. 2936215043
16. 43(18132)410
17. 1804(60255)1(19117)37
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18. 281(140256)462(80239)
19. (619)3[(120290)29]47
20. 240482[322(140268)49]
Find the value of each expression. State the order of operations.
Expression Order
21. 3433465 34
22. 184127335
23. 100268137345
24. 1934184465
25. 714738442285
26. 302(45217)5
27. 73(14126)485
28. (73127)2136445
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Chapter 2 Lesson 2.7
Lesson 2.8 Real-World Problems: Multiplication and Division
Solve. Show your work.
1. Afruitsellerbuys1,456applesandpacksthemequallyintoboxesof56each.Hesellseachboxfor$18.Howmuchmoneydoeshecollectifhesellsalltheapples?
2. Mrs.Brandonhad230softtoys.Shekept50softtoysanddistributedtherestequallyto15childrentosellforcharity.Eachtoywassoldfor$20.Howmuchmoneydideachchildcollect?
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3. Thereare641boysand490girlsinGreenlandSchool.Eachchildmakes8artpiecesforclassroomdecorations.Alltheartpiecesarethendistributedequallyamong58classrooms.Howmanyartpiecesareineachclassroom?
4. Tinacollects487seashellsandWaynecollects345.Aftergiving40seashellstoCalvin,theyputtheremainderequallyinto36boxes.Howmanyseashellsareineachbox?
5. Thetableshowsthebookingfeeforatenniscourtinacommunityclub.
From9a.m.to5p.m. $4perhour
After5p.m. $7perhour
Edwinbookedthetenniscourtfrom4p.m.to8p.m.HowmuchdidEdwinpayforthetenniscourt?
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Chapter 2 Lesson 2.8
6. ThreetimesasmanychildrenasadultsattendedaconcertonSaturday.Anadult’sticketcost$7andachild’sticketcost$3.Thetheatercollectedatotalof$6,000.Howmanypeopleboughttickets?
7. Mrs.Danielpays$324forahandbagand3pairsofshoes.Thehandbagcostshalfasmuchasthe3pairsofshoescombined.Findthecostofthehandbag.
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8. Mr.Jacobis55yearsoldandTonyis7yearsold.InhowmanyyearswillMr.Jacobbe4timesasoldasTony?
9. Thecostof5similardigitalcamerasand3similarvideocamerasis$3,213.Eachvideocameracosts4timesasmuchaseachdigitalcamera.Johnbuysadigitalcameraandavideocamera.Howmuchdoeshepay?
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Chapter 2 Lesson 2.8
10. Anne,RyanandJoelcollectemptycansforrecycling.Theycollectatotalof1,925cans.AnnecollectshalfasmanycansasRyan.JoelcollectstwiceasmanycansasRyan.HowmanycansdoesJoelcollect?
11. DavidandJosephhaveatotalof328marbles.MatthewandDavidhave176marbles.Josephhas5timesasmanymarblesasMatthew.HowmanymarblesdoesDavidhave?
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12. Thelibraryhasatotalcollectionof2,630books.Thenumberofnon-fictionbooksis240fewerthanthenumberoffictionbooksbut190morethanthenumberofpicturebooks.Howmanybooksofeachtypeareinthelibrary?
13. Thetotallengthof4bluebannersand5yellowbannersis49meters.Thetotallengthof2bluebannersand1yellowbanneris17meters.Allbannersofthesamecolorhavethesamelength.Findthelengthofeachbluebanner.
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Chapter 2 Lesson 2.8
14. Atthelocalclothingstore,3similarshirtsand4similarjacketscost$360,and1shirtand3jacketscost$220.Findthecostofeachshirt.
15. Jamesboughtafewhamsters.Foreachdayafterthefirstdayoftheweek,thehamstersate20gramsoffoodmorethanthepreviousday.Thehamstersgrewfast,finishing1,260gramsoffoodinthefirstweek.Howmuchfooddidthehamsterseatonthefirstday?
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16. Annhad$198morethanhersister.AftertheirmothergaveAnn$20andhersister$60,Annhadtwiceasmuchmoneyashersister.HowmuchmoneydidAnnhaveatfirst?
17. Therewere7timesasmanymarblesinboxAasinboxB.AfterJoycetransferred294marblesfromboxAtoboxB,bothboxeshadthesamenumberofmarbles.HowmanymarbleswereinboxAatfirst?
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Chapter 2 Lesson 2.8
Put on Your Thinking Cap!
Solve. Show your work.
1. Inamathematicsquiz,20problemsaregiven.5pointsaregivenforeachcorrectanswerand2pointsaredeductedforeachincorrectanswer.Ashleyscores51points.Howmanycorrectanswersdoesshehave?
2. Theproductoftwoconsecutiveevennumbersis624.Whatisthegreaternumber?(Consecutiveevennumbersareevennumbersplacedoneafteranotherinanunbrokensequence.Forexample,2,4,6,8or10,12,14.)
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3. Useacalculatortomultiply.
243115
353115
723115
693115
583115
763115
Whatdoyounoticeabouttheanswers?Findashortcuttotheanswerswithoutusingacalculator.
4. AaronandBengahaveatotalof976tradingcards.Bengahas7timesasmanycardsasAaron.HowmanycardsshouldBengagiveAaronsothatAaronwillhave3timesasmanycardsasBenga?
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Chapter 2 Put on Your Thinking Cap!
5. Therewere149angelfishandgoldfishinanaquarium.Thereweretwiceasmanyguppiesasangelfish.Afterselling35goldfish,therearehalfasmanygoldfishasangelfish.Howmanyfishareleftintheaquarium?
6. Sophiabuysanequalnumberoforangesandpearsforaparty.Thepriceoforangesis7for$2andthepriceofpearsis5for$3.Shepays$33moreforthepearsthanfortheoranges.
a. HowmuchdoesSophiapayinall?
b. Howmanyorangesandpearsdoesshebuyaltogether?
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7. MaritandJenniferhadanequalnumberofcrackers.Eachday,Maritate12crackersandJenniferate6morecrackersthanMarit.WhenJenniferhad24crackersleft,Marithad96crackersleft.Howmanycrackersdideachofthemhaveatfirst?
8. RobertandDamienhadthesameamountofmoney.Eachday,Robertspent$4andDamienspent$6.WhenDamienhad$12left,Roberthad4timesasmuchmoneyleftasDamien.Howmuchmoneydideachboyhaveatfirst?
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Chapter 2 Put on Your Thinking Cap!
9. Forevery5highlightersthatAgnesbuys,shegets1free.IfAgnesneeds80highlighters,whatistheleastnumberofhighlightersshehastobuy?
10. Benitahasthreeropesmeasuring54centimeters,108centimeters,and189centimeters.Shecutsallofthemintoequalpieces.Thelengthofeachpieceisthelongestpossiblelengthshecancut.
a. Whatisthelengthofeachpieceofcutrope?
b. HowmanypiecesofcutropedoesBenitaget?
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11. Jessicaandhermotherreturnfromshoppingwith14packages.Theyparkthecarintheparkinglot,whichis120metersawayfromtheirhouse.Thentheymakeseveraltripstobringthepackagesintotheirhouse.Jessica’smothercancarry3packagesatatimeandJessicacancarry2.Giventhattheyalwayswalktogetherandtheleastpossiblenumberoftripsismade,findthetotaldistancecoveredbybothofthem.
12. Formthegreatestandleastpossibleproductsbyfillingineachboxwithoneofthesedigits:
2 3 4 5 6
Foreachproduct,useeachdigitonlyonce.
Greatest Product
3 3
Least Product
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Chapter 2 Put on Your Thinking Cap!