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 88

  1. Select a 2-digit number.
  2. Multiply it by 8.
  3. Add the digits from right to left.

   Example:

  1. The 2-digit number chosen to multiply by 88 is 43.
  2. Multiply by 8:
    8 x 43 = 320 + 24 = 344.
  3. The last digit is the same:   _ _ _ 4
  4. Add the digits in 344 right to left:
    4 + 4 = 8   _ _ 8 _
    3 + 4 = 7:   _ 7 _ _
    First digit is the same:   3 _ _ _
  5. So 88 x 43 = 3874.

   See the pattern?

  1. The 2-digit number chosen to multiply by 88 is 82.
  2. Multiply by 8:
    8 x 82 = 640 + 16 = 656.
  3. The last digit is the same:   _ _ _ 6
  4. Add the digits in 656 right to left:
    6 + 5 = 11   _ _ 1 _
    5 + 6 + 1 (carry) = 12:   _ 2 _ _
    First digit + 1 (carry) = 6 + 1 = 7:   7 _ _ _
  5. So 88 x 82 = 7216.


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13 September 1999
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