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 5 5/9

  1. Multiply the number by 5.
  2. Add a zero.
  3. Divide by 9.

   Example:

  1. If the 2-digit number chosen to multiply by 5 5/9 is 36:
  2. Multiply by 5: 5 x 36 = 150 + 30 = 180
  3. Add a zero: 1800
  4. Divide by 9: 1800/9 = 200
  5. So 5 5/7 x 36 = 200.

   See the pattern?

  1. If the 2-digit number chosen to multiply by 5 5/9 is 71:
  2. Multiply by 5: 5 x 71 = 355
  3. Add a zero: 3550
  4. Divide by 9: 3550/9 = 394 4/9
  5. So 5 5/9 x 71 = 394 4/9.

Numbers divisible by 9 will produce whole-number answers. With other numbers, those using calculators will get repeating decimals.


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20 March 2000
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