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 2 1/5

  1. Select a 2-digit number.
  2. Multiply the number by 11. Add the digits right to left.
  3. Divide the product by 5.

   Example:

  1. The 2-digit number chosen to multiply by 2 1/5 is 43.
  2. Multiply by 11: the last digit of the product is 3. 3 + 4 = 7 (next left digit). The product is 473.
  3. Divide the product by 5: 473/5 = 94.6.
  4. So 43 x 2 1/5 = 94.6.

   See the pattern?

  1. The 2-digit number chosen to multiply by 2 1/5 is 78.
  2. Multiply by 11: the last digit of the product is 8. 8 + 7 = 15. The next digit is 5, carry 1. 7 + 1 = 8. The product is 858.
  3. Divide the product by 5: 858/5 = 171.6.
  4. So 78 x 2 1/5 = 171.6.


webmaster@forum.swarthmore.edu
14 February 2000
Web page design by Sarah Seastone