Vedic Mathematics is the name given to the ancient system of Mathematics which was rediscovered from the Vedas between 1911 and 1918 by Sri Bharati Krsna Tirthaji (1884-1960). According to his research all of mathematics is based on sixteen Sutras or word-formulae. For example, 'Vertically and crosswise' is one of these Sutras. These formulae describe the way the mind naturally works and are therefore a great help in directing the student to the appropriate method of solution.

You will gain the ability to do quick calculations: at store checkouts, at work, on the phone and if you are a student taking time constraint exams - this will be a boon.

Let us start with a quick example:

43 x 47 = ?

It is quite simple since both digits start from 4 you take 4 and multiply by 5 which gives you 20 and take 3 and multiply by 7 which gives you 21, so the final answer is 2021.
Today the Vedic system is becoming more and more successful because it is a natural complete system. It works the way our mind works.

For example, in order to subtract 37 from 64, you would probably set the numbers one below the other and use the subtraction method you have been taught (the current traditional method)

But stop and study these numbers briefly. Notice that 37 is 3 below 40. So take 40 from 64 (and we get 24) and add 3 back to get 27.

This process is more in tune with our natural thinking processes than the traditional, formal steps we learn in school.

1000 - 253 = 747

We simply take each figure in 253 from 9 and the last figure which 5 from 10.

And that's all there is to it!

Similarly let us try 10,000 - 6347

Once again we simply take each figure in 6347 from 9 and the last figure which 7 from 10.



So the answer is 10,000 - 6347 = 3653

Next step is to show some simple multiplication. Let us start with small numbers first.

9 x 8

Both numbers are close 10. 9 is 1 below 10 and 8 is 2 below 10.

So let us place in an arrangement shown below:



The answer is 72

You subtract crosswise 9 - 2 or 8 - 1 to get 7 and multiply 1 x 2 which gives us 2 and the answer is 72.

This method is called 'Vertically and Crosswise'.
92 x 89. The numbers are closer to 100 so we can see that 92 is 8 below 100 and 89 is 11 below 100.

Let us place in the arrangement shown below:



The answer is 8188

You subtract crosswise 92 - 11 or 89 - 8 to get 81 and multiply 8 x 11 which gives us 88 and the answer is 8188.


Now let us try numbers which are just over 100.

102 x 107 = 10914

The answer is in two parts: 109 and 14, 109 is just 102 + 7 (or 107 + 2), and 14 is just 2 x 7.

Similarly 106 x 109 = 11554

106 + 9 = 115 and 6 x 9 = 54