Maths Olympiad Prep

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Problem 297

Algebra Difficulty 2.2 Find the answer CEMC Fermat

The integer 2014 is between which powers of 10?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

Since 100=1,101=10,102=100,103=1000,104=10000 10^{0}=1,10^{1}=10,10^{2}=100,10^{3}=1000,10^{4}=10000 , and 105=100000 10^{5}=100000 , then 2014 is between 103 10^{3} and 104 10^{4} .

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.