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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  Subtracting the squares of two numbers

  1. Select a 2-digit number and then choose a number two larger or two smaller.
  2. Multiply the middle number by 4.

   Example:

  1. If the the first number selected is 31:
  2. Choose 29.
  3. Multiply the number between them by 4: 4 x 30 = 120
  4. So (31)(31) - (29)(29) = 120.

   See the pattern?

  1. If the the first number selected is 63:
  2. Choose 61.
  3. Multiply the number between them by 4: 4 x 62 = 248
  4. So 63^2 - 61^2 = 248.

   One more:

  1. If the the first number selected is 73:
  2. Choose 75.
  3. Multiply the number between them by 4: 4 x 74 = 296
  4. So (75x75) - (73x73) = 296.
     


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16 September 1996
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