Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 2.2 Junior Find the answer

The integer 2014 is between which powers of 10?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Since $10^{0}=1,10^{1}=10,10^{2}=100,10^{3}=1000,10^{4}=10000$ , and $10^{5}=100000$ , then 2014 is between $10^{3}$ and $10^{4}$ .

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