38. Which of the following numbers is closest to 0 on a number line?
Answer: C
8/5 is the number closest to 0 on a number line.
Among the given options, 8/5 is closest to 0 when compared to the other fractions, as it approximates 1.6, which is nearer to the origin than the other values.
A) 4/3
4/3 is approximately 1.33, which is greater than 1 and therefore farther from 0 than 8/5. While it is a positive number, it does not provide the closest proximity to 0 compared to the other options.
B) 7/6
7/6 equates to approximately 1.17, which is still a positive fraction. Although it is less than 4/3, it remains farther away from 0 than 8/5, making it not the closest option.
C) 8/5
8/5, approximating 1.6, is indeed the closest number to 0 among the provided options. Its value, while greater than 1, is the least among the positive options and thus the nearest to the origin on a number line.
D) 9/7
9/7 is approximately 1.29, which places it closer to 1 than to 0. This keeps it farther from 0 than 8/5, affirming that it is not the closest option available.
Conclusion
In conclusion, 8/5 is definitively the closest to 0 among the options provided, as it is less than the other fractions in value. All other options, while positive, are further away from 0, confirming that 8/5 is the most accurate choice for this question.