# The Best Estimate of A Big Number!

Algebra Level pending

Let $$A$$, $$B$$ and $$N$$ be real numbers. We say that $$A$$ is a better estimate of $$N$$ than $$B$$ if $$|N - A| < |N - B|$$ is fulfilled.

Which of the following is the best estimate of $$689^{1679}$$?

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