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How to Use Chimney Division. By Mr. Kissner. Version 1.3. What is chimney division?. Chimney division is the process of using multiples to solve long division problems. The KEY to chimney division lies in understanding multiples. Multiples are all the possible products

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Presentation Transcript
slide1

How to Use

Chimney Division

By Mr. Kissner

Version 1.3

slide2

What is chimney division?

Chimney division is the process of using

multiples to solve

long division problems

slide3

The KEY to chimney division lies in understanding multiples

Multiples are all the possible products

for a given factor

The number

being multiplied

slide4

Here is an example

The multiples of 3

3, 6, 9, 12, 15, 18, 21, 24…

The multiples of 8

8, 16, 24, 32, 40, 48, 56…

slide5

Remember that multiples go one forever!

270

102

1800

30

900

3

51

630

21,000,000

Just to name a few

slide7

Look at these numbers. Which numbers are multiples of 8?

Multiple of 8

NOT a Multiple of 8

32

631

72

618

5600

43

800

85

slide8

Now look at the parts of a long division problem

remainder

141 r 3

quotient

567

4

divisor

dividend

slide10

5

345

Here is a division problem

With the standard division solving, if you make a minor error with dividing the whole problem is wrong and you would then have to start over. With chimney division minor errors can be fixed easier.

slide11

5

345

This is how chimney division works

Remember to leave

room on the

top of the division

symbol to make

a column of numbers

1. Write a division problem using the division bar

slide12

5

345

This is how chimney division works

Ask yourself the question: What is a multiple of 5 that is less than 345?

2. Think of a multiple of the divisor that is LESS THAN the dividend

300 is a multiple

of 5 that is less

than 345.

5x60=300

slide13

5

345

This is how chimney division works

3. Put the multiple under the dividend and factor on top of the division bar

60

300

5x60=300

slide14

5

345

This is how chimney division works

4. Now subtract the multiple from the dividend to get the remainder

60

dividend

-300

multiple

45

remainder

slide15

5

345

This is how chimney division works

5. If the remainder is greater than or equal to the divisor, repeat steps 1 to 4

The remainder

is 45

the divisor

is 5

45>5

So Repeat

the first four

steps

60

-300

45

slide16

5

345

This is how chimney division works

40 is a multiple of 5 because 40=5x8

8

60

-300

45

-40

slide17

5

345

This is how chimney division works

The remainder

is 5

the divisor

is 5

5=5

So Repeat

the first four

steps

8

60

-300

45

-40

5

slide18

5

345

This is how chimney division works

5 is a multiple of 5 because 5=5x1

1

8

60

-300

45

-40

5

-5

slide19

5

345

This is how chimney division works

1

8

The remainder

is 0

the divisor

is 5

0<5

Now go on to final step

60

-300

45

-40

5

- 5

0

slide20

5

345

This is how chimney division works

69

1

Add up the Chimney and you will get your final quotient

8

+60

-300

45

-40

5

- 5

0

slide21

5

345

This is how chimney division works

69

1

8

+60

-300

45

-40

5

- 5

0

slide22

8

177

Let’s try another problem

The great part of chimney division is the answer is all that matters! This problem can be solved just by using tens and ones

slide23

8

177

If you got

that quotient

22 r1 then you

have the right

answer.

22

1

1

10

10

+

r 1

-80

97

Don’t worry if you used different multiples. The right answer is what counts!

-80

17

-8

9

-8

1

slide24

6

562

Try this problem on your own.

Write the problem in the middle of the paper to give you enough room for your chimney

93 r 4

Check your answer.

If you have this

Quotient you are correct

slide25

6

3

5

129

387

633

Do these problems for homework

Write the problems in the middle of the paper to give you enough room for your chimney