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Tuesday, October 23, 2012

Multiplying Three Digit Numbers

Category: Arithmetic

"Published in Newark, California, USA"

How do you multiply a three digit number with another three digit number without using a calculator in a shorter way and faster? I will show you a technique. Let's consider this one:

124 x 216

By usual method,
           1   2
           1  2  4
    x      2  1  6
 ---------------------
       1   7  4  4
       1  2  4
   2  4  8
----------------------
   2  6  7  8  4

Now, let's consider the other method which is Mayan Method. In this method, you will use the straight lines and their points of intersection.

For 124, draw 1 line, 2 parallel lines, and then 4 parallel lines that are all parallel to each other.



For 216, draw 2 parallel lines, 1 line, and then 6 parallel lines that are all parallel to each other.


Divide the figure into 5 sections. At each section, count the number of points which are the points of intersection.


Therefore, the answer is 26784.