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 1 2/3

  1. Select a 2-digit number.
  2. Multiply by 6 (or by 2 and 3).
  3. Move the decimal point one place to the left.

   Example:

  1. The 2-digit number chosen to divide by 1 2/3 is 78.
  2. Multiply by 3: 3 x 78 = 210 + 24 = 234
  3. Multiply by 2: 2 x 234 = 468
  4. Move the decimal point one place to the left: 46.8
  5. So 78 divided by 1 2/3 = 46.8.

   See the pattern?

  1. The 2-digit number chosen to divide by 1 2/3 is 32.
  2. Multiply by 3: 3 x 32 = 96
  3. Multiply by 2: 2 x 96 = 180 + 12 = 192
  4. Move the decimal point one place to the left: 19.2
  5. So 32 divided by 1 2/3 = 19.2.

Practice multiplying from left to right and you will become adept at mentally dividing a number by 1 2/3.


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23 June 1997
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