chapter 4a study guide - long division supplement

7/21/2019 Chapter 4A Study Guide - Long Division Supplement

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Daddy Mommy Sister Brother Ruf

(Divide) (Multiply) (Subtract) (Bring Down) (Remainder)

Chapter 4AStudy Guide & Practice Problems

Supplementary Long DivisionReview

Contents1) Multi-Step Division !"on# Division$) %ith a 1-Di#it Divisor1

') (eroes in the uotient*

1) MultiStep Division (!"ong Division#) with a 1Digit Divisor

Remember the steps o$ long division%

&'ample%

1


2/15

1

) * +

Start on the le$t

D,-,D& into

+o% many times does 4 #o into ,

.ne time

So put a 1 on top o/ the ,

1

)

* +

4

M."/,0" ' 1

4 0 1 4

2rite 4 underneath the ,

'


3/15

1

)

* +

- 4

1

S.B/R2C/ 3

, 3 4 1

2rite a 1 under the , and 4

1

)

* +

- 4

1 *

BR,45 D674the ne't digit o$ the dividend

Copy the * /rom the top line so that its ne0t to the 1

5


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1 4

)

* +

- 4

1 *

7e8re not done yet9 so go bac: to D,-,D&

+o% many times does 4 #o into 1*

164=4

So %rite a 4 ne0t to the 1 in the 6uotient

1 4

)

* +

- 4

1 *

1 *

4ow it8s time to

M."/,0"

4 0 4 1*

4


5/15

So %rite 1* underneath the 7rst 1*

1 4

)

* +

- 4

1 *

- 1 *

8

S.B/R2C/

1* 3 1* 8

1 4

)

* +

,


6/15

- 4

1 *

- 1 *8 9

BR,45 D674the ne't digit o$ the dividend

1 4 1

)

* +

- 4

1 *

- 1 *

8 9

Still not done; So go bac: to

D,-,D&+o% many times does 4 #o into 9

:ust once So %rite 1 in the 6uotient

*


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1 4 1

)

* +

- 4

1 *

- 1 *

8 9

4

M."/,0"

4 0 1 4

So %rite 4 underneath the 9

1 4 1

)

* +

- 4

1 *

- 1 *

8 9

9


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- 4

5

S.B/R2C/

9 - 4 5

7e8re up to BR,45 D6749 but are there any moredigits le$t in the dividend 6.R 24S7&R%

Quotient x divisor

141 0 4 ,*4

Now add remainder:

,*4 ; 5 ,*9

&S;

?) @eroes in the Auotient

Sometimes you may end up %ith ?

@

1 1 R

)

* +

11 1' , * 4 , * 9


9/15

:ust eep /ollo%in# the same steps as be/ore

&'ample%

8

)

1

Start on thele$t

D,-,D& into

Can B tae , out o/ 5

. So put a 8 on top o/ the 5

8

)

1

8

M."/,0"

, 0 8 8

2rite 8 underneath

the 5

8

)

1

- 8

5S.B/R2C/

5 3 8 5

8

)

1

- 8

BR,45 D674the ne't digit o$ the

dividend


10/15

5 8

8 *

)

1

- 8

5 8

7e8re notdone yet9 so

go bac: to

D,-,D&

+o% many times

does , #o into 58

305=6

So %rite a * ne0t to the 8 in the

6uotientMae sure that you line up the

place value columns in the

6uotient correctly?

8 *

)

1

- 8

5 8

5 8

4ow it8s time

to

M."/,0", 0 * 58

So %rite 58

underneath the

7rst 58

8 *

)

1

- 8

5 8

- 5 8

S.B/R2C/

58 3 58 8

18


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8

8 *

)

1

- 8

5 8

- 5 8

8 1

BR,45D674the ne't digit

o$ the

dividend

8 * 8

)

1

- 8

5 8

- 5 88 1

Still not

done; So go

bac: to

D,-,D&

+o% many times

does can B tae , out o/ 1

B cant?

, 7ts into 1 (EF. times

So put a


12/15

8, 0 8 8

So %rite 8 underneath the 1

8 * 8

)

1

- 8

5 8

- 5 8

8 1

-8

1

S.B/R2C/

1 - 8 1

8 * 8

)

1

- 8

5 8

- 5 8

8 1

-8

1 ,

BR,45

D674the

ne't digit o$ thedividend

1'


13/15

eep #oin#?Houre almost there?

8 * 8 5

)

1

- 8

5 8

- 5 8

8 1

-81 ,

S/,"" 46/

D64&;

So go bac:

toD,-,D&once again

155=3

So the last di#it o/ the

6uotient is 5

8 * 8 5

)

1

- 8 5 8

- 5 8

8 1

-8

1 ,

1 ,

M."/,0"

, 0 5 1,

15


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8 * 8 5

)

1

- 8 5 8

- 5 8

8 1

-8

1 ,

- 1 ,

8

S.B/R2C/

1, 3 1, 8

8 * 8 5 F8

)

1

Chec:%1

* ' 5 8 1 ,

Ihere are no more di#its to

JFBG D.2= and

the FEMABDEFis


15/15

i/ there is no remainder

+.2EEF B 7nd that both are

help/ul habits to mae sure you

/ollo% the procedure step-by-

step

1,

chapter 4a study guide - long division supplement

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