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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   Multiply a multi-digit sequence of numbers
                 by 8, add a number, subtract 20

  1. Choose a number made up of consecutive digits beginning with 1 (123, 1234 etc. - up to 9 digits).
  2. Multiply it by 8.
  3. Add the last digit of the original sequence. The answer will be a declining sequence beginning with 9 and the same length as the original sequence.
  4. Subtract 20.

   Example:

  1. If the number selected is 123:
  2. Multiply by 8, add 3 (descending sequence beginning with 9 and 3 digits long): 987
  3. Subtract 20: 987 - 20 = 967
  4. So 123 multiplied by 8 plus 3 - 20 is 967.

   See the pattern?

  1. If the number selected is 123456:
  2. The answer before the last subtraction is 987654 (descending sequence from 9 with 6 digits)
  3. Subtract 20: 987654 - 20 = 987634
  4. So 123456 multiplied by 8 + 6 - 20 is 987634.

Extend the number of examples by changing the last step - or subtract or add different numbers.


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21 July 1997
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