VEDIC MATHS-21

 

VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friend,

                      This is  blog number 21 from the series of "Vedic maths" blogs. Here in this blog we will learn about "Squaring Numbers"

Squaring Numbers:

Squaring can be defined as 'multiplying a number by itself'.

There are many different ways of squaring numbers. Many of these techniques have their roots in multiplication as squaring is simply a process of Multiplication.

Examples: 

1. (3)^2 is three multiplied by 3 which equals 9
2. (4)^2 is four multiplied by 4 which equals 16

The technique that we will study are:

1. Squaring of numbers using Criss-Cross system.
2. Squaring of numbers using formulae.

Reference:

We had already learn about "Squaring of numbers using Criss-Cross system." our previous blog. If you have missed my last blog then please visit "VEDIC MATHS-20".

(B) Formula method:

There are various formulae used in general mathematics to square number instantly. Let us discuss them one by one.

Formula is:

This method is generally to square numbers which are near multiples of 10. In this method, a given number expanded in such manner that of 'a' is a number which can be easily squared and the value of 'b' is a small number which too can be easily squared.

Examples:

1. Find the square of 1009

We represent the number 1009 as 1000+9. Thus, we have converted it into a form of (a+b) where the value of a is 1000 and value of b is 9.

2. Find the square of 511

The  number 511 will be written as 500+11.

The second formula that we will discuss is also know to the students. It is a part of the regular school curriculum. This formula is used to square numbers which can be easily expressed as a difference of two numbers 'a' and 'b' in such a way that number 'a' is one which can be easily squared and the number 'b' is a small number which too can be easily squared. 

The formula is:

This formula is very much like first one. The only difference is that the middle term Carrie a negative sign in this formula.

1. Find the square of 995

We will express the number 995 as (1000-5)

2. Find the square of 698

We will express the number 698 as (700-2)

More examples:

1. (9)^2=81
2. (11)^2=121
3. (98)^2=9604
4. (102)^2=10404
5. (998)^2=996004

                The simplicity of this method can be vouched from examples given above.

You may try following example:

1) (99)^2=
2) (102)^2=

3) (999)^2=

You may answer this in comment box. You may ask your any query or doubt in comment box. I will try to resolve as early as possible.

In next blog we will discuss about "Squaring of numbers using application of  formulae".     

Are you excited for this?...

Then, please wait for it.

I will post my new blog in next week.

We will meet very soon through our next blog. Till that stay connected, stay healthy and stay safe.

Thanks

for giving your valuable time.

Good day😊.