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 3-digit number by 99

  1. Select a 3-digit number.
  2. Subtract the 1st digit plus 1 from the number.
    X X X _ _
  3. Subtract the last two digits of the number from 100.
    _ _ _ X X

   Example:

  1. The 3-digit number chosen to multiply by 99 is 274.
  2. Subtract the 1st digit + 1 from the number:
    274 - 3 = 271 : 2 7 1 _ _
  3. Subtract the last two digits from 100:
    100 - 74 = 26: _ _ _ 2 6.
  4. So 274 x 99 = 27126.

   See the pattern?

  1. The 3-digit number chosen to multiply by 99 is 924.
  2. Subtract the 1st digit + 1 from the number:
    924 - 10 = 914 : 9 1 4 _ _
  3. Subtract the last two digits from 100:
    100 - 24 = 76: _ _ _ 7 6.
  4. So 924 x 99 = 91476.


webmaster@forum.swarthmore.edu
14 October 1996
Web page design by Sarah Seastone