Quick Multiplication Techniques - 2 Digit Numbers

Multiplying 2 Digit Numbers by 2 Digit Numbers

Consider the Example

75
x
75
--------------
375
+3750 ------(This is the Normal way of Calculation)
--------------
5625
-------------

Let us consider an example using Vedic Mathematics.

65
x
65
------------
4225
------------

Explanation of Multiplication using this system is as follows:-

We multiply 5 multiply by 5 and put 25 as right-hand side of the answer.
We added 1 to the top left digit 6 to make it 7.
We then multiplied it ( 7 ) by the bottom left digit 6 and got 42, which is the left-hand side of the answer.
We got the correct answer 4225.
Similarly we can multiply 15 by 15, 25 by 25, 35 by 35 etc.This formula is not limited to same number or ending with 5. We can apply this formula to multiply a good number of two-digit and three digit numbers.

Pre-condition

Left-Hand digit should be the same and the total of right-hand digits should be 10.
Lets us consider another example:

76
x
74
------------
5624
-----------

In this example the left-hand digits are the same –i.e. 7, and the total of the right-hand digits is 10. So we can apply this formula here. Similarly just have a look at following.-

79
x
71
----------
5609 ---- (note to put 09 not only 9 as we are multiplying 2 digit numbers)
----------
Read more on Multiplication here.