Squaring means multiplying a number by itself.

example: squaring 3 means 3 multiplied by 3 (3x3) it will be written as 3

^{2}=9

Now lets move on to the funda..

Quick mental calculations can help in solving problems faster and practice of this can become a gift

We can find the squares using some technique this will help find the squares faster.

**Squaring Numbers ending in 1**

This is the short cut method to find out squares of numbers ending in 1 like 11,21,31,41,121,131 etc if we go for multiplying the numbers it will take longer time

**1**

^{st}example 21^{2}**step 1**: subtact 1 from the number, so that the number ends in zero.

21-1=20

**step 2**: find the square of the difference, its easy to square numbers ending with 0.

20

^{2}= 20x20 = 400

**step 3**: add the number we now squared ie 20 and to the number to be squared ie 21

20+21=41

**step 4**:add the result of step 2 to step 3 this will give you the answer of 21

^{2}

400 + 41 =441.

so 21

^{2}=441.

**2**

^{nd }example 41^{2}**step 1 :**41 - 1= 40

**step 2 :**40

^{2}=40 x 40 = 1600

**step 3 :**40 + 41 = 81

**step 4 :**1600 + 81 = 1681

so 41

^{2}=1681