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 999

  1. Select a 2-digit number.
  2. Add one zero to the number, subtract 1:
    X X X _ _
  3. Subtract the original number from 100:
    _ _ _ X X

   Example:

  1. The 2-digit number chosen to multiply by 999 is 64.
  2. Add one zero and subtract 1: 640 - 1 = 639:
    6 3 9 _ _
  3. Subtract 64 from 100: 100 - 64 = 36:
    X X X 3 6
  4. So 64 x 999 = 63,936.

   See the pattern?

  1. The 2-digit number chosen to multiply by 999 is 75.
  2. Add one zero and subtract 1: 750 - 1 = 749:
    7 4 9 _ _
  3. Subtract 75 from 100: 100 - 75 = 25:
    X X X 2 5
  4. So 64 x 999 = 74,925.


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20 August 1996
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