BEATCALC:  Beat the Calculator!

___________________________________________
Back to Calculation Tips & Tricks
___________________________________________

From the BEATCALC mailing list:
a weekly service from B. Lee Clay, archived here by the Math Forum.
To subscribe to the BEATCALC mailing list, write to BEATCALC@aol.com.


   Multiplying a 2-digit number by 18

  1. Select a 2-digit number.
  2. Multiply it by 2.
  3. Add one zero.
  4. Subtract the number obtained by multiplying by 2 from the last number.

   Example:

  1. The 2-digit number chosen to multiply by 18 is 28.
  2. 28 x 2 = 56 (multiply by 2).
  3. Add one zero: 560.
  4. Subtract: 560 - 56 = 504.
  5. So 18 x 28 = 504.

   See the pattern?

  1. If the number to be multiplied by 18 is 46:
  2. 2 x 46 = 92 (multiply by 2).
    (Think (40 x 2) + (6 x 2) = 80 + 12 = 92)
  3. Add one zero: 920.
  4. Subtract: 920 - 92 = 828
    (Subtract in easy increments:
    920 - 100 = 820, 820 + 8 = 828)
  5. So 46 x 18 = 828.

Practice this procedure, especially selecting the easiest ways to subtract.


webmaster@forum.swarthmore.edu
8 April 1996
Web page design by Sarah Seastone