What is the square of 99?

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Multiple Choice

What is the square of 99?

Explanation:
Squaring numbers near a round base uses the binomial square idea. Write 99 as 100 minus 1 and apply (a − b)^2 = a^2 − 2ab + b^2. With a = 100 and b = 1, you get 100^2 − 2·100·1 + 1^2 = 10,000 − 200 + 1 = 9,801. You can also check by direct multiplication: 99 × 99 = 9,801. So the square is 9,801.

Squaring numbers near a round base uses the binomial square idea. Write 99 as 100 minus 1 and apply (a − b)^2 = a^2 − 2ab + b^2. With a = 100 and b = 1, you get 100^2 − 2·100·1 + 1^2 = 10,000 − 200 + 1 = 9,801. You can also check by direct multiplication: 99 × 99 = 9,801. So the square is 9,801.

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