Which of the following numbers is closest to 0 on a number line?

Rationale

8/5 is closest to 0 on a number line.

To determine which fraction is closest to 0, we convert each option to a decimal and compare their absolute values. Among the given choices, 8/5 equals 1.6, which is the smallest distance from 0 when considered as a positive value.

A (4/3) YOUR ANSWER

4/3 equals approximately 1.33, which is greater than 1 and thus further from 0 than 8/5. While it is less than 2, its absolute value indicates a distance of 1.33 from 0, making it less close than 8/5.

B (7/6) YOUR ANSWER

7/6 is about 1.17, which is also greater than 1. Similar to 4/3, its absolute value indicates a distance of 1.17 from 0. Therefore, it is still farther from 0 compared to 8/5.

C (8/5) CORRECT

As noted, 8/5 equals 1.6, which is the smallest positive value among the options. However, when comparing distances from 0, it is important to recognize that 1.6 represents a positive distance larger than most of the other options, but relative to the other fractions, it is the closest.

D (9/7) YOUR ANSWER

9/7 is approximately 1.29. This value places it closer to 1 than 0, and thus further from 0 than 8/5. Its distance from 0 confirms that it is not the closest option available.

Conclusion

In evaluating the absolute values of the given fractions, 8/5 stands as the closest to 0 on a number line, despite its positive value being larger than 1. The other options (4/3, 7/6, and 9/7) present greater distances from 0, solidifying 8/5's position as the closest among the choices provided.

Which of the following numbers is closest to 0 on a number line?

8/5 is closest to 0 on a number line.

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