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When you use a calculator, it's a good idea to have a rough idea of the expected size of your answer, so that you can see if you've made a mistake!

 

This size is called the order of magnitude and you can get a good idea by rounding off the question first.

 

7,840 × 28 is approximately 8,000 × 30 which is 240,000

24,216 - 18,947 is approximately 24,000 - 19,000 = 5,000

542 ÷ 18 is approximately 500 ÷ 20 =  25

 

Example

Let's find the order of magnitude for 3.42  × 19.

 

3.42 × 19 lies between
A
and
B
which equal 
C
and
D

 

3.42 × 19 lies between 3 × 19 and 4 × 19.

 

3.42 × 19 lies between
3 × 19
and
4 × 19
which equal 
57
and
76

 

 

Check to see how close you are by doing the calculation on your calculator as well.

 

3.42 × 19 =
64.98

 

 

There's quite a lot to think about here, but you can always check back to this page by clicking on the red button.

 

Let's have a go at some questions now.

 

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