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- or 3-digit number by 16 2/3

  1. Select a 2-digit number. (Choose larger numbers when you feel sure about the method.)
  2. Multiply by 6 (or by 3 and then 2).
  3. Move the decimal point two places to the left.

   Example:

  1. The 2-digit number chosen to divide by 16 2/3 is 72.
  2. Multiply by 3: 3 x 72 = 216
  3. Multiply by 2: 2 x 216 = 432
  4. Move the decimal point 2 places to the left: 4.32
  5. So 72 divided by 16 2/3 = 4.32.

   See the pattern?

  1. The 2-digit number chosen to divide by 16 2/3 is 212.
  2. Multiply by 3: 3 x 212 = 636
  3. Multiply by 2: 2 x 636 = 1200 + 72 = 1272
  4. Move the decimal point 2 places to the left: 12.72
  5. So 212 divided by 16 2/3 = 12.72.

Practice multiplying by 3, then by 2, and you will be able to do these problems quickly.


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2 June 1997
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