Saturday, January 2, 2016

Algorithm behind Multiplication - Kids Time

Multiplication

What is multiplication? It is the process of adding a number to itself as many times as given by the multiplier.

Example   2*3. Add 2 with itself 3 times.  2+2+2 = 6
 Or            3*2. Add 3 with itself 2 times.      3+3 = 6

Example   3*5. Add 3 with itself 5 times. 3+3+3+3+3 = 15
Or             5*3. Add 5 with itself 3 times          5+5+5 = 15

With that basics, We will move on to two digit multiplication.

Example  23 * 24 = 552. Add 23 with itself 24 times. 
That's bit lengthy. So we will break it into pieces.

Add 23 with itself 20 times + Add 23 with itself 4 times.
23 * 20 + 23 * 4.

We know that 
To add 23 with itself 20 times = (Add 23 with itself 2 times) * 10 = ( 23 + 23 ) * 10 = 460

Now
Add 23 with itself 4 times. 23 + 23 + 23 + 23 = 92

The result is 460 + 92 = 552.

Now we will learn about the process of multiplication.


Another Example



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