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This technique is suitable for finding the square of number that is more than 100.

Example 1:

103 x 103 = 10609

Steps:

Find the difference between 100 and the number. 103 – 100 = 3

1. 103 + 3 = 106(00) <- Add the difference from the number being squared.
2. 3 x 3 = 9 <- Square the difference.
3. 10600 + 9 = 10609.

Example 2:

112 x 112 = 12544

Steps:
Find the difference between 100 and the number. 112 – 100 = 12

1. 112 + 12 = 124(00) <- Add the difference from the number being squared.
2. 12 x 12 = 144 <- Square the difference.
3. 12400 + 144 = 12544.

If you have better method to share, please don’t hesitate to leave your comment.