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 1 5/6

  1. Select a 2-digit number.
  2. Multiply by 11.
  3. Divide the result by 6.

   Example:

  1. The 2-digit number chosen to multiply by 1 5/6 is 34.
  2. Multiply by 11: 11 x 34 = 374
    (Add the digits left to right.
    The last digit is 4.
    The next digit is 4 + 3 = 7.
    The first digit is 3.)
  3. Divide by 6: 374/6 = 62 2/6
  4. So 34 x 1 5/6 = 62 1/3.

   See the pattern?

  1. If the 2-digit number chosen to multiply by 1 5/6 is 62:
  2. Multiply by 11: 11 x 62 = 682
  3. Divide by 6: 682/6 = 113 4/6
  4. So 62 x 1 5/6 = 113 2/3.

To produce these products promptly, practice multiplying by 11.


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14 August 2000
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