How many whole numbers lie in the interval between (5/3) and 2π?

AMC 8 2000 Problem 3

AMC8 2000 年第 3 题

逻辑推理（跨域）★☆☆☆☆

How many whole numbers lie in the interval between

\displaystyle \frac{5}{3}

and

2\pi

在

\displaystyle \frac{5}{3}

到

2\pi

之间有多少个整数？

正确答案 · Correct Answer

Solution 1

The smallest whole number in the interval is 2 because 5/3 is more than 1 but less than 2. The largest whole number in the interval is 6 because

2\pi

is more than 6 but less than 7. There are five whole numbers in the interval. They are 2, 3, 4, 5, and 6, so the answer is

\text{(D)5}

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