BEATCALC:  Beat the Calculator!

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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 77

  1. Select a 2-digit number.
  2. Multiply it by 7.
  3. Add the digits from right to left
    (see examples, below).

   Example:

  1. The 2-digit number chosen to multiply by 77 is 42.
  2. Multiply by 7: 7 x 42 = 280 + 14 = 294
  3. The last digit is the same: _ _ _ 4
  4. Add right to left. 4 + 9 = 13: _ _ 3 _
    9 + 2 + 1(carry) = 12: _ 2 _ _
    First digit + carry: 2 + 1 = 3: 3 _ _ _
  5. So 77 x 42 = 3234.

   See the pattern?

  1. If the number to be multiplied by 77 is 84:
  2. Multiply by 7: 7 x 84 = 560 + 28 = 588
  3. The last digit is the same: _ _ _ 8
  4. Add right to left. 8 + 8 = 16: _ _ 6 _
    8 + 5 + 1(carry) = 14: _ 4 _ _
    First digit + carry: 5 + 1 = 6: 6 _ _ _
  5. So 77 x 84 = 6468.


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21 June 1999
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