## Squaring Numbers Close to 100

So, here’s another math trick and this one may be a little less intuitive to follow. It’s about squaring numbers close to 100 without that piece of machine called the calculator.

Example: Squaring 108 i.e. Calculating (108) * (108)

Now, we know that 108 differs from 100 by a +8. We make use of this and add this 8 to the number we have.

108+8 = 116

Now, we leave 116 as the left most digits of the answer and take the square of just 8. We get  8*8 = 64.

Therefore, our answer is : 11664

Damn, I love math tricks.

## Squaring of Numbers Close to 100

So, here’s just another math trick:

Suppose, we have a number like 106 and we want to square it. So,we’re taking 100 as the number we compare to and 106 = 100 + (6)

Now, we add 6 to 106. This gets us 106+6 = 112

Now, we keep 112 as the leftmost three digits of the answer.
We square 6 and get 6*6 = 36.

36 will be the right most 2 digits of the answer.

Now, we’ll try the same thing with a number less than 100. Let’s take 92 for an example.

100 + (-8) = 92  So, the difference from 100 is that  of (-8). So this is the number we will play with.

We add -8 to 92 : 92 + (-8) = 84. Now, we take these as the left most digits and then add the square of (-8) as the right more TWO digits.