# SCC Education

## calculation of square of numbers (short trick )

Square of number close to 1000 and 500 is very easy.......

Let’s take number 1024, and then just add 24 into it.....

It will be 1024 + 24 = 1048 and then write (24)2= 576....

So answer will be 1048576....... It will be valid up to 1031.

Similarly suppose number is 988 then it is 12 less than 1000......

Then just subtract 12 from 988, it will be 976 and write (12)2 = 144....

Method to calculate square up to 100...

1. Between numbers 40 to 60...here is the method...

For 40 - 50, say 44 then it is 6 less than 50...differentiate 25-6 = 19 and (6)2 =

36....

So first 2 digits will be 19 and last 2 will be 36 and answer will be 1936

Take another number 48 then 48 is less than 50 by 2 so answer will be 2304....

Remember we have to take base 25 and not 50...

similarly from 50-60, say 56 then add 6 in 25 = 31 and last 2 digit will be 36...

2. Between numbers 61 to 75...here is the method...

For 62, u need to add 25+12 = 37 and (12)2 = 144....

So now writhe last 2 digits 44 and add 1 in 37 so it will become 3844....

It’s very easy but you have to practice it little...

Example 2 - Take another number 73....so (23)2 = 529....

First 2 digit will be 25+23+5= 53 and last 2 digit remain same always...so answer

will be 5329

3. Between numbers 90 to 100...here is the method...

Now 90-100...say 98, it is 2 less than 100...

So differentiate 2 from 98...u will get first 2 digits...98-2=96...

And last 2 digits will be (2)2=04...so answer will be 9604...

Similarly (97)2= 9409...

2. Between numbers 75 to 90 ...here is the method...

From 75- 90...same method as above but need to add

Say 88... It is 100-88 = 12... (12)2= 144...

So first 2 digits will be 88-12+1 = 77 and last 2 digits 44 so, answer is 7744...

If anyone faces difficulty to solve square between numbers 61 - 90. We suggest

you to please practice it at home a little daily. Over a period of time these will also

become very easy like square from 40-60 and from 90-100...

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