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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   Dividing a 2-digit number by 2 1/3

  1. Select a 2-digit number.
  2. Multiply by 3.
  3. Divide the result by 7.

   Example:

  1. The 2-digit number chosen to divide by 2 1/3 is 42.
  2. Multiply by 3: 3 x 42 = 126
  3. Divide by 7: 126/7 = 18
  4. So 42 divided by 2 1/3 = 18.

   See the pattern?

  1. The 2-digit number chosen to divide by 2 1/3 is 73.
  2. Multiply by 3: 3 x 73 = 219
  3. Divide by 7: 219/7 = 31 2/7
  4. So 73 divided by 2 1/3 = 31 2/7.

If the number chosen is divisible by 7, the quotient will be a whole number. If the number is not divisible by 7, a calculator user will get a long, inexact decimal, while your answer will be exact.


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13 March 2000
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