## Guest Post: Vedic Mathematics – Squaring Numbers 1

When any number is multiplied by itself , the result obtained is known as the square of that number.  In Vedic Mathematics following methods are used for calculation of squares : Ekadhika Method,  Yavadunam Method, Duplex Method, and  Anurupyena Method.  I have written about Ekadhika Method in my blog, but here, we will discuss Yavadunam method of squaring. Other methods will be discussed in the next posts.

This method is used for squaring the numbers which are near some base. The method can be extended to other numbers which are not near base by using sub-base. The sub-formula “Yavadunam Tavdunikritya Vargamcha Yojayet” actually means – whatever the extent of the deficiency of a number from base , lessen it to the same extent and set up the square of the deficiency.

It can also be applied to excess and in this case , this excess is to be added to same extent followed by setting up the square of excess. Hence in general this mean – whatever the deviation , increase the number by that deviation and suffix the square of the deviation.

Thus squaring of numbers near the base involves two steps:

First, divide the answer into two parts, the LHS and the RHS part. The LHS part of answer is number plus deviation. The deviation may be positive or negative depending on whether the number is more or less than the base respectively. » Read more

## Guest Post: Vedic Mathematics – Nikhilam Method of Multiplication Part 2

Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai, state Chattisgarh in India for 15 years. Currently he is a  teacher in a senior secondary school and he is also involved in teacher training.  His online work can be found in Mathematics Academy.

In my previous post (download pdf here)  on multiplication by Nikhilam Method, I described how to multiply two numbers near base , when both are either above base or both are below base. Here we will discuss how to multiply two numbers out of which one is more and other is less than the base.

Example 1

Example 2

Let us now discuss how to multiply two numbers which are not near base (10 ,100 …..) . Product is found by  sub-sutra ‘Anurupyan’ meaning Proportionately. We will choose a proportionate sub-base. » Read more

## Guest Post: Vedic Mathematics 4 – Nikhilam Method of Multiplication

Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai, state Chattisgarh in India for 15 years. Currently he is a  teacher in a senior secondary school and he is also involved in teacher training.  His online work can be found in Mathematics Academy.

Multiplication – Nikhilam (निखिलम) Method

Conventional method of multiplication is time consuming. It involves number of steps and space. Multiplications done using Vedic Mathematics is easy, requires less number of steps, requires less time. One question can be solved in many ways and can be done mentally.

Nikhilam multiplication is one such method in which problems of special patterns can be solved in a step or two. For using this method, one must be familiar with the base system, which is described below. » Read more

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