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Division with Decimals

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10 2 =

Division with Decimals

What is division?

means:

how many piles of ….. can you make?

This can be demonstrated using the denomination of cups

Denomination is ‘what we are counting in’

5

60 15 =

60 15 = 4

60 0 15 0 = 4

60 00 15 00 = 4

Division with Decimals

When the numbers get bigger it is no longer practical to use or draw

cups. However the principle stays the same.

How many piles of 15 can we make?

15

15

15

15

4 piles

so

The denomination can be anything we want it to be:

60 pens can be put into 4 piles of 15 pens

60 tables can be put into 4 piles of 15 tables

60 tens can be put into 4 piles of 15 tens

60 hundreds can be put into 4 piles of 15 hundreds

0.6 0.2

6 tenths 2 tenths

6 2 =

6 0.2 =

60 2 =

Division with Decimals

Lets see how we can use this with decimals

We can say that the denomination is tenths

How many piles of 2 tenths can we make out of 6 tenths?

So the calculation now becomes:

3 (piles of 2 tenths)

This will be easier if we think about the denomination

of the quotient (the amount of ‘cups’ that I want in a pile)

In this case the quotient is 0.2

This is 2 tenths, therefore we need to start thinking tenths

There are 60 tenths in 6 and 2 tenths in 0.2 so the calculation becomes:

30

240 ¸ 8 = 30

think hundredths

Division with Decimals

Now try these:

1.8 ¸ 0.2 =

2.12 ¸ 0.4 =

3.1 ¸ 0.5 =

4.2 ¸ 0.4 =

5.6 ¸ 0.3 =

6.5 ¸ 0.02 =

7.10 ¸ 0.05 =

8.18 ¸ 0.03 =

9.1.8¸ 0.6 =

10.2.4¸ 0.08 =

80 ¸ 2 = 40

think tenths

120 ¸ 4 = 30

think tenths

10 ¸ 5 = 2

think tenths

20 ¸ 4 = 5

think tenths

60 ¸ 3 = 20

think tenths

500 ¸ 2 = 250

think hundredths

1000 ¸ 5 = 200

think hundredths

1800 ¸ 3 = 600

think hundredths

18 ¸ 6 = 3

think tenths

Can you see a quick way of finding the correct calculation?

9506 7 =

7 9 5 0 6

Now try these:

- 8 =
- 9 =
- 8472 12=

Division with Decimals

Harder Division

1358

Draw the division box with the divisor outside

1

5

8

3

2

4

5

106

107

806

Division with Decimals

Now try these:

- 8 =
- 9 =
- 8472 12=