Convert Fractions to their Equivalents Using 10ths, 100ths and 1,000ths

In this activity, we will be learning how to convert fractions involving 10ths, 100ths and 1,000ths. 

Let's recap some helpful facts that will help us to convert fractions.

A thousandth is a tenth of a hundredth.

So 10 thousandths make 1 hundredth.

A hundredth is a tenth of a tenth.

So 10 hundredths make 1 tenth.

And 100 thousandths make 1 tenth too.

Let's try an example question.

Example

Find the missing numerators and denominators. 

4/___ = 40/1000

3/10 = ___/1000

850/1000 = 85/___

Answer

4/100 = 40/1000

3/10 = 300/1000

850/1000 = 85/100

To multiply by 10, we move the digits one column to the left.

To multiply by 100, we move the digits two columns to the left.

To multiply by 1,000, we move the digits three columns to the left.

To divide by 10, 100 and 1000, we do the same steps as above, except the digits move to the right instead because the number gets smaller when we divide.

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Now it's time to try some of these yourself!