Squaring of numbers near the base

This is easy especially when the numbers to be squared are near the base 10, 100, and 1000 and so on.

12² = ??

First find the difference between 12 and the base (i.e 10)

12 is 2 more than 10 so the difference is 2

Now add 2 to 12 to get the left part of the answer i.e 14

For the right part of the answer, write the square of the difference i.e 2 x 2 is 4

Answer 144

14² = ??

First find the difference between 14 and the base (i.e 10)

14 is 4 more than 10 so the difference is 4

Now add 4 to 14 to get left part of the answer i.e 18

For the right part of the answer we square the difference i.e. 4 x 4 is 16

Since the base 10 has only one zero, right part of the answer should also be a one digit number.

Thus put 6 on the right side and carry over one to the left side.

The left side thus becomes 18 + 1 = 19

Answer 196

98² = 9604

First find the difference between 98 from the base (i.e 100)

98 is 2 less than 100 so the difference is 2

Now subtract 2 from 98 to get the left part of the answer i.e 96

For the right part of the answer write the square the difference i.e 2 x 2 is 4

Since the base 100 has two zeros, right part of the answer should also be a two digit number.
Put a 0 before 4 to make it a 2 digit number. Thus the right part becomes 04.

Answer = 9604