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 72

  1. Select a 2-digit number.
  2. Multiply it by 8.
  3. Add one zero.
  4. Subtract the first number from the second.

   Example:

  1. The 2-digit number chosen to multiply by 72 is 54.
  2. Multiply by 8: 54 x 8 = 432
    (Think: (8 x 50) + (8 x 4) = 400 + 32 = 432)
  3. Add one zero: 4320
  4. Subtract: 4320 - 432 = 3888 (Subtract left to right:
    4320 - 400 - 30 - 2 = 3920 - 30 - 2 = 3890 - 2 = 3888)
  5. So 54 x 72 = 3888.

   See the pattern?

  1. The 2-digit number chosen to multiply by 72 is 21.
  2. Multiply by 8: 21 x 8 = 168
  3. Add one zero: 1680
  4. Subtract: 1680 - 168 = 1512 (Subtract left to right:
    1680 - 100 - 60 - 8 = 1580 - 60 - 8 = 1520 - 8 = 1512)
  5. So 21 x 72 = 1512.

Practice, practice, practice and you will become perfect in your multiplication by 72.


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14 January 1996
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