Central Bucks School District - Fact Fluency Ch 2...© 2020 Marshall Cavendish Education Pte Ltd...

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ApplyandBuildKnowledge

2a MultiplyingandDividingby2Completeeachpuzzle.

1 3 6×2 ×2

2 2 8×2 ×2

3 16×2 ×2

Makeyourownpuzzle.

4 ×2 ×2

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2b MultiplyingandDividingby5and10Solve.

1 2

3 4

×2

×4×3

10

5

×5

×9×7

10

70

×9×5

45

40×

25

15

35

×

××

MultiplicationandDivisionFactFluencyChapterChapterChapter

11FactFluencyGrade4 Chapter2MultiplicationandDivision

Name: Date:

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2c Multiplyingby1,3,and4

Youcanusemultiplicationfactsof1and2tofindmultiplicationfactsof3.

1×2=2 2×2=4 So,3×2=6.

Example

Solve.

1 1×3= 2×3= So,3×3= .

2 1×7= 2×7= So,3×7= .

3 1×9= 2×9= So,3×9= .

Youcandoublethe2factstofindthefactsof4.

2×2=4 4+4=8 So,4×2=8.

Example

Solve.

4 2×4= 8+8= So,4×4= .

5 2×8= 16+16= So,4×8= .

6 2×6= 12+12= So,4×6= .

Youcansubtractthe1factsfromthe5factstofindthefactsof4.

5×3=15 1×3=3 So,4×3=12.

Example

7 5×5= 1×5= So,4×5= .

8 5×9= 1×9= So,4×9= .

9 5×7= 1×7= So,4×7= .

12 FactFluencyGrade4Chapter2MultiplicationandDivision

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2d Multiplyingby6and7

Youcanusemultiplicationfactsof1,2,and5tofindmultiplicationfactsof6 and7.

1×2=2 5×2=10 6×2=(1×2)+(5×2)21

1

2112345

21123456

5×2=10 2×2=4 7×2=(5×2)+(2×2)21

12345

2112

211234567

Example

Findtheproducts.

1 6×4= 7×4=

1×4= 5×4= 2×4=

2 6×7= 7×7=

1×7= 5×7= 2×7=

3 Usetheboxesin 2 tohelpyousolve13×7= .

Howdidtheboxesin 2 helpyou?

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2e Real-WorldMultiplicationProblemsThereare3middleschoolsinWashingtonville.Eachschoolhas837studentsand65 teachers.

Solve.Showyourwork.

1 Howmanystudentsarethereinthe3middleschoolsinall?

2 Howmanyteachersarethereinthe3middleschoolsinall?

3 Eachstudentinthe3middleschoolsbrings5bookstoschooleveryday.How manybooksdoallthestudentsinthe3middleschoolsbringtoschooleveryday?

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2f DividingMulti-DigitNumbersby1-DigitNumbers

48÷2=24

Tens Ones

Tens Ones

Example

Completeeachsentence.

1 36÷3means36dividedinto equalgroups.

2 84÷6means dividedinto equalgroups.

3 100÷4means dividedinto equalgroups.

4 3,603÷3means dividedinto equalgroups.

Solve.

5 36÷3= 6 84÷6= 7 100÷4=

8 44÷4= 9 90÷3= 10 46÷2=

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48÷2means48dividedinto2equalgroups.


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2g Multiplyingby8and9

Factsof8

1 4×4= 16+16= So,8×4= .

2 10×5= 2×5= So,8×5= .

Chooseonemethodtosolve.

3 8×7= 4 8×6= 5 8×3=

Factsof9

6 10×4= 1×4= So,9×4= .

7 10×8= 1×8= So,9×8= .

8 10×6= 1×6= So,9×6= .

Method2:Usemultiplicationfactsof10andthensubtractmultiplicationfactsof2.

Youcanusemultiplicationfactsof10andthensubtractmultiplicationfactsof1tofindmultiplicationfactsof9.

Youcanusetwomethodsto find multiplicationfactsof8.Method1:Doublethefactof4.


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2h MultiplicationSolve.

1 3× 4

2 2× 9

3 4× 6

4 5× 8

5 1× 7

6 6× 9

7 7× 7

8 8× 2

9 9× 7

10 3× 8

11 4× 5

12 5× 2

13 6× 7

14 7× 8

15 9× 4

16 8× 6

17 7× 3

18 8× 9

19 1× 9

20 9× 2

21 8× 3

22 4× 9

23 4× 3

24 5× 6


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2i Division

Solve.

1 16÷4= 2 20÷5= 3 30÷6=

4 21÷7= 5 45÷5= 6 40÷5=

7 12÷2= 8 8÷4= 9 18÷9=

10 64÷8= 11 48÷8= 12 9÷3=

13 36÷6= 14 49÷7= 15 14÷7=

16 42÷7= 17 10÷2= 18 81÷9=

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2j MultiplyingMulti-DigitNumbersWithoutRegrouping

312×3936

312×3shows3groupsof312.

That’s 3 roups of300,3groupsof10,and3groupsof2.

Hundreds Tens Ones

Example


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Draw , ,and ineachtable.Then,solve.

1 43×2=

Tens Ones

2 122×3=

Hundreds Tens Ones

Solve.

3 4 3 4× 2

4 3 ,2 1 2× 2


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2k MultiplyingMulti-DigitNumberswithRegrouping

425×31,275

425×3shows3groupsof425.

Hundreds Tens Ones

Example

Draw , ,and ineachtable.Then,solve.

1 35×2=

Tens Ones

That’s 3 roups of400,3groupsof20,and3groupsof5.


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2 244×3=

Hundreds Tens Ones

Solve.

3 7 5× 3

4 7 8 3× 4

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2l MultiplyingMulti-DigitNumberswithRegroupingFillinthemissingnumbers.

1 5 0 2× 3

,

2 5 3× 4

, 9 2

3 7 , 0 1× 6

3 , 2

Solve.

4 9 8× 2

5 4 2 3× 6

6 7 ,6 7 8× 3

7 1 0 ,3 4 0× 6


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2m MultiplyingandDividingby100

Multiplyordivideby100togetthenumbersontheoppositesidesofthecircle.Writethemissingnumbers.

1

500

5

8

100

900

700

2 Writearuleformultiplyingby100.

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2n Dividing2-DigitNumbersby1-DigitNumbersSolve.

1 4 56 2 2 64

3 3 69 4 5 75


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5 3 84 6 4 84

7 3 99 8 6 96

9 7 98 10 4 92


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2o Dividing3-DigitNumbersby1-DigitNumbersFillinthemissingnumbers.Useeachdigitonlyonceineachproblem.

0 1 2 3 4

5 6 7 8 9

1 3 2 9 4

2 2 4

0

2 4 3 4 822 8

80

3 7 6 4 431 4

40

4 8 7 5 22

3

20

5 5 2 1 50

5

10

6 6 5 8 84

8 4 8

0


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2p Real-WorldMultiplicationandDivisionProblemsVeronicawantstomakefruitsaladforherclass.Therecipemakes6servings,butthereare24studentsinherclass.

FruitSaladIngredients:2apples 4bananas3peaches 9cherries5kiwis 1smallmelonMakes6servings.

Solve.HowmanyofeachtypeoffruitdoesVeronicaneedtomakeenoughfruitsaladsothateverystudentcanhaveaserving?

Apples: Bananas:

Peaches: Cherries:

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2q Real-WorldMultiplicationandDivisionProblems

$9 $2

$4 $5PabloandLauraplantomowlawnstoearnmoneytobuyartsuppliesforaproject.Theyeachearn$6foreverylawntheymow.

Answerthefollowingquestions.

1 Pabloneedstobuy2easels. a. HowmuchmoneydoesPabloneedtobuy2easels?$ b. Howmanylawnsdoesheneedtomowtohaveenoughmoney?2 Lauraneedstobuy3paintbrushes,2setsofpencils,and2padsofdrawing

paper. a. HowmuchmoneydoesLauraneedtobuytheseitems?$ b. Howmanylawnsdoessheneedtomowtohaveenoughmoney?


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2r MultiplyingandDividingMulti-DigitNumbersWithout Regrouping

Fillinthemissingnumbers.

1 02

× 480

2 3 4

× 2

2

3 1, 1× 3

,69

Solve.

4 1,111×4= 5 2,222× =6,666

6 1,212×3= 7 4,141× =8,282

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2s Real-WorldDivisionProblemsThereare60cardsinabox.Eachcardshowsoneoffouranimals.Thereareanequalnumberofcardswitheachanimal.


1 2studentssharethecardsequally.Writethedivisionsentencebelow.

Howmanycardsdoeseachstudentget?

÷ =

2 Howmanycardsshowa ?Writethedivisionsentencebelow.

÷ =


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3 Isitpossiblefortwostudentstogetanequalnumberofcardsthatshow ?

Explain.

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2t Real-WorldDivisionProblemsAudreyismovingtoanewapartment.Sheneedstopackher46booksinboxes.Eachboxcanhold12books.


1 HowmanyboxescanAudreyfillwithbooks?Howmanybookswillthereberemaining?Drawapicturetoexplainyouranswer.

Completethestatements.

Audreycanfill boxeswithbooks.

Therewillbe booksremaining.

2 HowmanyboxesdoesAudreyneedtopackallofherbooks?

3 udrey’s rother Mason has some o es. ach o can hold 1 oo s. MasonsaysthatAudreywillneedfewerboxesifsheuseshisboxes.IsMasoncorrect?Explain.


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2u OrderofOperationsMatchtheproblemonthelefttothemultiplicationfactthatgivesthesameanswerontheright.Thefirstonehasbeendoneforyou.

1 5×4+2–1 • • 9×3

2 (12÷2)+(3×4) • • 7×3

3 81÷9+3+2 • • 8×3

4 8×7–29 • • 6×3

5 6×6÷3×2 • • 7×2

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2v OrderofOperationsWrite+,–,x,or÷inthecircletomakeeachnumbersentencetrue.

1 5 3 1 5=19 2 72 9 8=16

3 4 5 20 17=23 4 9 1 9 3=27

5 10 5 2 5=105 6 32 8 10 4=10

7 100 4 (100 25) 3 50=100

Makeupasimilarproblem.Exchangeyourproblemwithapartner.Then,solve.

8

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Central Bucks School District - Fact Fluency Ch 2...© 2020 Marshall Cavendish Education Pte Ltd...

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