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1989 AJHSME Problems/Problem 4

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Problem

Estimate to determine which of the following numbers is closest to \frac{401}{.205}.

\text{(A)}\ .2 \qquad \text{(B)}\ 2 \qquad \text{(C)}\ 20 \qquad \text{(D)}\ 200 \qquad \text{(E)}\ 2000

Solution

401 is around 400 and .205 is around $.2 so the fraction is approximately \frac{400}{.2}=2000\rightarrow \boxed{\text{E}}

See Also

1989 AJHSME (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
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Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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