Dividing a Decimal by a Decimal

Dividing Whole Numbers

12 ÷ 2 =120 ÷ 20 =

1200 ÷ 200 =

12000 ÷ 2000 =

6

66

6

Multiply both 12 and 2 by 10

Multiply both 120 and 20 by 10

Multiply both 1200 and 200 by 10

Dividing Decimals

12 ÷ 2 =1.2 ÷ 0.2 =

0.12 ÷ 0.02 =

0.012 ÷ 0.002 =

6

66

6

Divide both 12 and 2 by 10

Divide both 1.2 and 0.2 by 10

Divide both 0.12 and 0.02 by 10

Dividing Decimals

12 ÷ 2 = 6 1.2 ÷ 0.2 = 6

1.2 0.2

12 2

We know how to divide this

And we know this will give us the same answer

So how do we get from this

to this?

How did we turn 0.2

We multiplied by 10 (in effect, moving the decimal one place to the right)

To make it work, we also need to multiply 1.2 by 10 (in effect, moving the decimal one place to the right

into 2?

. .

Dividing Decimals

12 ÷ 2 = 6 0.12 ÷ 0.02 = 6

0.12 0.02

12 2

We know how to divide this

And we know this will give us the same answer

So how do we get from this

to this?

How did we turn 0.02

We multiplied by 100 (in effect, moving the decimal two places to the right)

To make it work, we also need to multiply 0.12 by 100 (in effect, moving the decimal two places to the right

into 2?

. .

Dividing Decimals

12 ÷ 2 = 6 0.012 ÷ 0.002 = 6

0.012 0.002

12 2

We know how to divide this

And we know this will give us the same answer

So how do we get from this

to this?

How did we turn 0.002

We multiplied by 1000 (in effect, moving the decimal three places to the right)

To make it work, we also need to multiply 0.12 by 1000 (in effect, moving the decimal three places to the right

into 2?

. .

Dividing Decimals

1.04 0.52

104 52. .

Dividing Decimals

0.282 0.14

28 2 14. .

Dividing Decimals

0.228 0.2

2 28 2. .

Dividing Decimals

1.68 0.8

16 88. .

Dividing Decimals

16 88. ..2

160 8

1

80

Dividing Decimals

13 44 1 2. ..1

1214

1

122 4

2

24

. .

Dividing Decimals

1 47 0 5..2

1 047

9

452 0

4

20

0. . .

Dividing Decimals

2 35 0 10..2

2 035

3

3050

5

50

0. . .