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 3/4

  1. Select a 2-digit number.
  2. Multiply by 4.
  3. Divide the product by 7.

   Example:

  1. The 2-digit number chosen to divide by 1 3/4 is 34.
  2. Multiply by 4: 4 x 34 = 136
  3. Divide the product by 7: 137/6 = 19 3/7
    (If you use a calculator, you will get a long, inexact decimal number.)
  4. So 34 divided by 1 3/4 = 19 3/7.

   See the pattern?

  1. The 2-digit number chosen to divide by 1 3/4 is 56.
  2. Multiply by 4: 4 x 56 = 224
  3. Divide the product by 7: 224/7 = 32
  4. So 56 divided by 1 3/4 = 32.

Notice that numbers divisible by 7 will produce whole-number quotients. For numbers not divisible by 7, your calculator will give you long decimal results that are not exact.


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28 February 2000
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