Track / Stage 4 / 95 of 340 #355 of 1964

Problem 355

AMC 12 late, AIME early

Number theory Difficulty 4.7 Multiple choice

Which of the following values is closest to zero?

Pick one

Official solution

Since $\frac{5}{4}=1 \frac{1}{4}$ and $1^{2}=1$ , then each of the choices (A) -1 , (B) $\frac{5}{4}$ and (C) $1^{2}$ is at least 1 away from 0 .

Since $-\frac{4}{5}=-0.8$ and -0.8 is closer to 0 than 0.9 is to 0 , then $-\frac{4}{5}$ is the closest value to zero.

ANsWer: (D)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.