Question

On the real number line, label the points with coordinates 5, 0, 3.5, -7/2. Which point corresponds to the negative fraction?

a) 5
b) 0
c) 3.5
d) -7/2

Answer 1

The point corresponding to the negative fraction among the given coordinates on the real number line is -7/2, which is option D.

Step-by-step explanation:

The student asked to label the points with coordinates 5, 0, 3.5, and -7/2 on the real number line and identify which point corresponds to the negative fraction. Let's assess each option:

• Point A) 5 is a positive number, so it's not the negative fraction.
• Point B) 0 is neither positive nor negative, so it's not the negative fraction.
• Point C) 3.5 is a positive number, so it's not the negative fraction.
• Point D) -7/2 is a negative number since it has a minus sign in front of it, making it the negative fraction.

Thus, the point that corresponds to the negative fraction on the number line is -7/2, which is option D. This is the same as -3.5 when we convert the improper fraction (-7/2) to a mixed number or decimal. To visualize this, we place 5 and 3.5 to the right of 0 on the number line, because they are positive numbers, and place -7/2 to the left of 0, as it is negative.

In conclusion, the correct option that corresponds to the negative fraction is option D (-7/2).