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 63

  1. Select a 2-digit number .
  2. Multiply it by 63:
  3. Multiply the 2-digit number by 7, add one zero, and
    subtract the smaller number from the larger.

   Example:

  1. The 2-digit number chosen to multiply by 63 is 28.
  2. 7 x 28 = 196
  3. Add one zero: 1960
  4. Subtract: 1960 - 196 = 1764 (subtract left to right:
    1960 - 100 - 90 - 6 = 1860 - 90 - 6 = 1770 - 6 = 1764)
  5. So 28 x 63 = 1764.

   See the pattern?

  1. The 2-digit number chosen to multiply by 63 is 83.
  2. 7 x 83 = 581 (think (7x80) + (7x3) = 560 + 21 = 581)
  3. Add one zero: 5810
  4. Subtract: 5810 - 581 = 5229 (subtract left to right:
    5810 - 500 - 80 - 1 = 5310 - 80 - 1 = 5230 - 1 = 5229)
  5. So 83 x 63 = 5229.


webmaster@forum.swarthmore.edu
9 December 1996
Web page design by Sarah Seastone