Vedic Mathematics

What is Vedic Mathematics?

Vedic Mathematics is a super fast way of calculation whereby you can do supposedly complex calculations like 998 x 997 in less than five seconds flat. It is highly beneficial for school and college students and students who are appearing for their entrance examinations. There are 16 sutras or formulae covered in Vedic Maths which solve all known mathematical problems in the branches of Arithmetic, Algebra, Geometry and Calculus. They are easy to understand, easy to apply and easy to remember.

Vertically and Crosswise

One of the sutras is "vertically and crosswise". The sutra "vertically and crosswise" has many uses. One very useful application is helping children who are having trouble with their tables above 5 x 5. For example 7 x 8. 7 is 3 below the base of 10, and 8 is 2 below the base of 10.

The whole approach of Vedic maths is suitable for slow learners, as it is so simple and easy to use. The sutra "vertically and crosswise" is often used in long multiplication. Suppose we wish to multiply 32 by 44. 

Steps

A. First, we multiply vertically 2 x 4 = 8. 

B. Then we multiply crosswise and add the two results: 3 x 4 + 4 x 2 = 20, so put down 0 and carry 2. 

C. Finally we multiply vertically 3 x 4 = 12 and add the carried 2 = 14. Result: 1,408.

We can extend this method to deal with long multiplication of numbers of any size. The great advantage of this system is that the answer can be obtained in one line and mentally. Multiplication can also be carried out starting from the left, which can be better because we write and pronounce numbers from left to right. Here is an example of doing this in a special method for long multiplication of numbers near a base (10, 100, 1,000 etc), for example, 96 by 92.

Steps

A. First, we know that 96 is 4 below the base and 92 is 8 below.

B. Then we can cross-subtract either way: 96 - 8 = 88 or 92 - 4 = 88. This is the first part of the answer.

C. Lastly, multiplying the "differences" vertically 4 x 8 = 32 gives the second part of the answer.

This works equally well for numbers above the base: 105 x 111 = 11,655. Here we add the differences. For 205 x 211 = 43,255, we double the first part of the answer, because 200 is 2 x 100.

Thank you......

Reference's link: http://www.hinduism.co.za/vedic.htm