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 55 (method 2)

  1. Select a 2-digit number.
  2. Multiply it by 5.
  3. Add the digits from left to right.

   Example:

  1. The 2-digit number chosen to multiply by 55 is 42.
  2. Multiply by 5: 5 x 42 = 200 + 10 = 210
  3. The last digit is 0:   _ _ _ 0
    Add right to left: 0 + 1 = 1   _ _ 1 _
    1 + 2 = 3:   _ 3 _ _
    The first digit is the same:   2 _ _ _
  4. So 55 x 42 = 2310.

   See the pattern?

  1. If the 2-digit number chosen to multiply by 55 is 86:
  2. Multiply by 5: 5 x 86 = 400 + 30 = 430
  3. The last digit is 0:   _ _ _ 0
    Add right to left: 0 + 3 = 3   _ _ 3 _
    3 + 4 = 7:   _ 7 _ _
    The first digit is the same:   4 _ _ _
  4. So 55 x 86 = 4370.


webmaster@forum.swarthmore.edu
26 October 1998
Web page design by Sarah Seastone