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 6 2/3

  1. Select a 2-digit number.
  2. Multiply the number by 2.
  3. Add a zero.
  4. Divide by 3.

   Example:

  1. The 2-digit number chosen to multiply by 6 2/3 is 63.
  2. Multiply by 2: 2 x 63 = 126.
  3. Add a zero: 1260.
  4. Divide by 3: 1260/3 = 420.
  5. So 63 x 6 2/3 = 420.

   See the pattern?

  1. The 2-digit number chosen to multiply by 6 2/3 is 41.
  2. Multiply by 2: 2 x 41 = 82.
  3. Add a zero: 820.
  4. Divide by 3: 820/3 = 273 1/3.
  5. So 41 x 6 2/3 = 273 1/3.
If the number chosen is divisible by three, the answer will be a whole number. If not, a calculator will get only an approximation, but your answer will be correct.


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3 April 2000
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