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- or 3-digit number by 2 1/2

  1. Select a 2- or 3-digit number.
  2. Divide by 4 (or by 2 twice).
  3. Move the decimal point one place to the right, or add a zero.

   Example:

  1. If the 2-digit number chosen to multiply by 2 1/2
    is 98
  2. Divide by 2: 98/2 = 49
  3. Divide by 2: 49/2 = 24.5.
  4. Move the decimal point one place to the right: 245
  5. So 98 x 2 1/2 = 245.

   See the pattern?

  1. If the 3-digit number chosen to multiply by 2 1/2
    is 123
  2. Divide by 2: 123/2 = 61.5
  3. Divide by 2: 61.5/2 = 30.75.
  4. Move the decimal point one place to the right: 307.5
  5. So 123 x 2 1/2 = 307.5.

  1. If the 3-digit number chosen to multiply by 2 1/2
    is 488
  2. Divide by 4: 488/4 = 122
  3. Divide by 2: 61.5/2 = 30.75.
  4. Move the decimal point one place to the right (add a zero): 1220.
  5. So 488 x 2 1/2 = 1220.

Divide by 4 when it is easy (the number is divisible by 4 if its last two digits are divisible by 4), or divide by 2 twice. This method should become an easy one.


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18 August 1997
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