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 792

  1. Select a 2-digit number.
  2. Multiply it by 8.
  3. Add two zeros.
  4. Subtract the original number from the result.

   Example:

  1. The 2-digit number chosen to multiply by 792 is 22.
  2. Multiply by 8: 8 x 22 = 176
    (Think: 8 x 20 + 8 x 22 = 176)
  3. Add two zeros: 17600
  4. Subtract 17600 - 176 = 17424
    (Think: 17600 - 100 - 70 - 6 = 17500 - 70 - 6
    = 17430 - 6 = 17424)
  5. So 22 x 792 = 17,424.

   See the pattern?

  1. The 2-digit number chosen to multiply by 792 is 91.
  2. Multiply by 8: 8 x 91 = 728
    (Think: 8 x 90 + 8 x 1 = 720 + 8 = 728)
  3. Add two zeros: 72800
  4. Subtract 72800 - 728 = 72072
    (Think: 72800 - 700 - 20 - 8 = 72100 - 20 - 8
    = 72080 - 8 = 72072)
  5. So 91 x 792 = 72,072.

Practice the left-to-right subtraction. Think each step to yourself as a cue for the next.


webmaster@forum.swarthmore.edu
13 January 1997
Web page design by Sarah Seastone