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-digit number by 22

  1. Select a 2-digit number.
  2. Multiply it by 2.
  3. The last digit will be the same.   _ _ _ X
  4. Add the digits right to left.

   Example:

  1. The 2-digit number chosen to multiply by 22 is 78.
  2. 78 x 2 = 156 (multiply by 2).
  3. Last digit is 6.   _ _ _ 6
  4. Add digits right to left. 6 + 5 = 11   _ _ 1 _
    5 + 1 + 1 (carry) = 7   _ 7 _ _
  5. The first digit is the same.   1 _ _ _
  6. So 22 x 78 = 1716.

   See the pattern?

  1. The 2-digit number chosen to multiply by 22 is 34.
  2. 34 x 2 = 68 (multiply by 2).
  3. Last digit is 8.   _ _ 8
  4. Add digits right to left. 8 + 6 = 14   _ 4 _
  5. First digit + carry: 6 + 1 = 7   7 _ _
  6. So 22 x 34 = 748.

Practice getting products by adding digits right to left. Then you will be able to multiply by 22 in your head with ease.


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24 August 1998
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