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 4-digit number by 137, then
                  by 73; subtract 1200

  1. Choose a 4-digit number (one whose numbers are all the same).
  2. Multiply by 137 and multiply the product by 73.
  3. The second product is an 8-digit number: the original number and a repeat of the digits.
  4. Subtract 1200.

   Example:

  1. If the first number is 6241:
  2. The answer to the two multiplications is 62416241
  3. Subtract 1200: 62416241 - 1200 = 62415041
  4. So 6241 x 137 x 73 = 62,415,041.

   See the pattern?

  1. If the first number is 7834:
  2. The answer to the two multiplications is 78347834
  3. Subtract 1200: 78347834 - 1200 = 78346634
  4. So 7834 x 137 x 73 = 78,346,634.

You can expand this exercise by changing the final step to another calculation: add or subtract a number that is easy to handle. In this way you can create many new exercises.


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11 November 1996
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