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 8 8/9

  1. Select a 2-digit number.
  2. Multiply by eight.
  3. Add one zero.
  4. Divide by nine.

   Example:

  1. The 2-digit number chosen to multiply by 8 8/9 is 41.
  2. Multiply by 8: 8 x 41 = 328
  3. Add one zero: 3280
  4. Divide by 9: 3280/9 = 364 4/9
  5. So 41 x 8 8/9 = 364 4/9.

   See the pattern?

  1. The 2-digit number chosen to multiply by 8 8/9 is 62.
  2. Multiply by 8: 8 x 62 = 480 + 16 = 496
  3. Add one zero: 4960
  4. Divide by 9: 4960/9 = 551 1/9
  5. So 62 x 8 8/9 = 551 1/9.
Those using calculators will get repeating decimal answers, while your answers will be exact.


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1 May 2000
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