Question

What does negative 4 over 7, −2 indicate about the positions of negative 4 over 7 and −2 on the number line?

A. negative 4 over 7 is located on the right of −2, and −2 is located on the right of 0
B negative 4 over 7 is located on the left of −2, and −2 is located on the right of 0
C. negative 4 over 7 is located to the right of −2
D. negative 4 over 7 is located on the left of −2

Answer 1

The number negative 4 over 7 is located to the right of −2 on the number line, indicating it is closer to zero and therefore less negative than −2.

Step-by-step explanation:

The question asks about the relative positions of the numbers negative 4 over 7 (which is −4/7) and −2 on the number line. On the number line, numbers to the left are smaller (more negative) than the numbers to the right. Both −4/7 and −2 are negative numbers, so they are both left of zero.

However, since −4/7 is closer to zero than −2, it means that −4/7 is located to the right of −2 on the number line. Therefore, the correct answer to the student's question would be option C. negative 4 over 7 is located to the right of −2 on the number line.