Normally when you multiply by a number, the number you started with gets bigger.

For example: 6 x 5 = 30

But when you are multiplying by a number between 0 and 1 your answer will always be smaller than the number you originally started with.

For example: 5 x 0.5 = 2.5

                      6 x 0.2 = 1.2

 

One way of thinking about it is by pretending that you're trying to find a percentage of the larger number. As we can see, 1.2 is one fifth, or 20% of 6, and 0.2 is 20%, or one fifth of 1. 

 

By remembering this we can quickly work out the answers to these questions by using our existing knowledge. Let's try it now.

 

7 x 0.1 = ?

 

Let's try looking at it as a percentage question - 0.1 is 10% or one tenth of 1, so the answer we're trying to find will be 10% or one tenth or 7, so we just divide 7 by 10 to find 10%, giving us 0.7. 

 

 

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