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When we multiply numbers by 10, we do not simply add a 0 to the end.

When the numbers are decimals, this rule does not work.

5.46 × 10 does not equal 5.460

 

When we multiply numbers by 10, each digit must move one place to the left.  

When we look at the columns in a Th, H, T, U grid we notice that Thousands are 10 times bigger than Hundreds, which are 10 times bigger than Tens, which are 10 times bigger than Units etc...

e.g. Work out:

5.46 × 10 = 54.6 

 

Here is 5.46 in a Th, H, T, U grid.

 

Answer:

So 5.46 × 10 = 54.6 

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