# What is the value of n

If $n$ is an integer and $\frac{1}{10^{n+1}}<0.00737<\frac{1}{10^n}$, then what is the value of n?
A. 1
B. 2
C. 3
D. 4
E. 5

For detailed Answers:

Also no need for algebraic manipulation. 1/10^(n+1) is 10 times less than 1/10^n, and both when expressed as decimals are of a type 0.001 (some number of zeros before 1) --> so the given expression to hold true we should have: 0.001<0.00737<0.01, which means that n=2 (1/10^n=0.01 --> n=2).

Answer: B.

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