2000 AMC 8 Problem 3 — Solution | LIVE by Po-Shen Loh

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2000 AMC 8 Problem 3

Attempt Problem 3 of the 2000 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2000 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

3.

How many whole numbers lie in the interval between $\frac{5}{3}$ and $2\pi?$

$2$

$3$

$4$

$5$

infinitely many

Answer: D

Concepts:counting integers in a range estimation

Difficulty rating: 660

Solution:

The smallest whole number greater than $\frac{5}{3}$ is $2.$ The greatest whole number less than $2\pi$ is $6.$

The whole numbers within this range are $2, 3, 4, 5, 6.$

Thus, D is the correct answer.

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