Question

What does -3/5 > -2 indicate about the positions of -3/5 and -2 on the number line?

A. -3/5 is located on the left of -2.
B. -3/5 is located on the left of -2.
C. -3/5 is located on the right of 0, and -2 is located on the left of 0.
D. -3/5 is located on the left of 0, and -2 is located on the right of 0.

Answer 1

The inequality -3/5 > -2 indicates that -3/5 is located to the right of -2 on the number line and both numbers are to the left of 0, which makes option D the correct answer.

Step-by-step explanation:

When comparing the numbers -3/5 and -2 on the number line, the inequality -3/5 > -2 indicates that -3/5 is located to the right of -2. This is because on the number line, as you move to the right, the numbers increase in value. Since -3/5 is greater than -2, it must be positioned further to the right than -2, but still to the left of 0 because they are both negative numbers. Therefore, the correct answer to the question is D: -3/5 is located on the left of 0, and -2 is located on the right of 0.