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 594

  1. Select a 2-digit number .
  2. Multiply it by 6.
  3. If the product is 2 digits, subtract 1:
    X X _ _
    Then subtract the product from 100:
    _ _ X X
  4. If the product is 3 digits, add one to the first digit
    and subtract the result from the product:
    X X X _ _
    Then subtract the last two digits of the product from 100: _ _ _ X X

   Example:

  1. The 2-digit number chosen to multiply by 594 is 16.
  2. Multiply by 6: 6 x 16 = 60 + 36 = 96
  3. Subtract 1: 96 - 1 = 95: 9 5 _ _
  4. 100 - product: 100 - 96 = 4: _ _ 0 4
  5. So 594 x 16 = 9,504.

   See the pattern?

  1. The 2-digit number chosen to multiply by 594 is 92.
  2. Multiply by 6: 6 x 92 = 540 + 12 = 552
  3. 1st digit + 1: 5 + 1 = 6
  4. Subtract 6 from product: 552 - 6 = 546:
    5 4 6 _ _
  5. 100 - product's last 2 digits: 100 - 52 = 48:
    _ _ _ 4 8
  6. So 594 x 92 = 54,648.


webmaster@forum.swarthmore.edu
5 May 1997
Web page design by Sarah Seastone