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 44

  1. Select a 2-digit number.
  2. Multiply it by 4.
  3. Add the digits from right to left.

   Example:

  1. The 2-digit number chosen to multiply by 44 is 36.
  2. 4 x 36 = 120 + 24 = 144.
  3. The last digit is 4:   _ _ _ 4
  4. Add the digits in 144 right to left:
    4 + 4 = 8   _ _ 8 _
    4 + 1 = 5:   _ 5 _ _
    First digit is 1:   1 _ _ _
  5. So 44 x 36 = 1584.

   See the pattern?

  1. The 2-digit number chosen to multiply by 44 is 69.
  2. 4 x 69 = 240 + 36 = 276.
  3. The last digit is 6:   _ _ _ 6
  4. Add the digits in 276 right to left:
    6 + 7 = 13   _ _ 3 _
    7 + 2 + 1 (carry) = 10:   _ 0 _ _
    First digit + 1 (carry) = 2 + 1 = 3:   3 _ _ _
  5. So 44 x 69 = 3036.


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28 September 1998
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