BEATCALC:  Beat the Calculator!

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Back to Calculation Tips & Tricks
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From the BEATCALC mailing list:
a weekly service from B. Lee Clay, archived here by the Math Forum.
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   Multiplying a 2-digit number by 37 1/2

  1. Select a 2-digit number.
  2. Multiply it by 3.
  3. Divide by 8.
  4. Move the decimal point two places to the right.

   Example:

  1. The 2-digit number chosen to multiply by 37 1/2 is 68.
  2. Multiply by 3. 3 x 68 = 180 + 24 = 204
  3. Divide by 8. 204/8 = 25.5
  4. Move the decimal point two places to the right: 2550
  5. So 37 1/2 x 68 = 2550.

   See the pattern?

  1. The 2-digit number chosen to multiply by 37 1/2 is 28.
  2. Multiply by 3. 3 x 28 = 60 + 24 = 84
  3. Divide by 8. 84/8 = 10.5
  4. Move the decimal point two places to the right: 1050
  5. So 37 1/2 x 28 = 1050.

Multiply from left to right for easy mental products.


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22 June 1998
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