Sunday, March 25, 2012

Number tricks: multiplying and dividing by 10

The GAMSAT this year happened yesterday. If you did the GAMSAT yesterday, I hope that you went well.

While I was helping someone with some GAMSAT questions for practice this year, without a calculator, I was reminded of some number tricks which can sometimes help. When calculators are available they aren't really required, but without calculators, the tricks can be helpful. You won't always be able to use tricks in calculations, but when you can, they can save time.

The trick I'll be discussing is multiplying and dividing by multiples of 10. Essentially, this simply involves moving the decimal point. It is sometimes useful if you are dealing with decimal multiplications or divisions.

Example 1:

300*0.04

Just divide the 300 by 100 (ie move the decimal point 2 to the left for 300) and multiply the 0.04 by 100 (ie move the decimal point 2 to the right for 0.04). Then the product becomes easier.

=3*4=12

Example 2:

0.0075/0.00015

Multiply the numerator and denominator by 100000 (ie move the decimal point for both 5 spaces to the right).

=750/15=50


Tricks like these can sometimes cut out time for decimal calculations.

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