Squaring numbers between 51 and 100

This technique is suitable for finding the square of number that falls in range of 51 and 100.

Example 1:

97 x 97 = 9409

Steps:

Find the difference between 100 and the number. 100 – 97 = 3

1. 97 – 3 = 94(00) <- Subtract the difference from the number being squared.

2. 3 x 3 = 9 <- Square the difference.

3. 9400 + 9 = 9409.

Example 2:

76 x 76 = 5776

Steps:

Find the difference between 100 and the number. 100 – 76 = 24

1. 76 – 24 = 52(00) <- Subtract the difference from the number being squared.

2. 24 x 24 = 576 <- Square the difference.

3. 5200 + 576 = 5776.

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

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