Question

A horizontal number line is given.

A number line that starts at negative four with tick marks every one half unit up to positive four. The values of negative three halves and positive three halves are labeled.

How do the two values plotted compare, and what is their relationship to zero?

The values are opposites of each other and have different distances to zero.
The values are opposites of each other, and their distance to zero is three halves units.
The values are the same, and their distance to zero is three halves units.
The values are the same, and their distance to zero is negative three halves units.

Answer 1

2. The values are opposites of each other, and their distance to zero is three halves units.

Step-by-step explanation:

The correct answer is:

2. The values are opposites of each other, and their distance to zero is three halves units.

The values -3/2 and 3/2 are indeed opposites of each other. They are both located at a distance of 3/2 units from zero on the number line. This means they are equidistant from zero, but on opposite sides.

Answer 2

Negative three halves and positive three halves are opposites with the same distance to zero, which is three halves units on the number line. So the correct answer is option C.

Step-by-step explanation:

The two values plotted on the number line, negative three halves (-3/2) and positive three halves (3/2), are opposites of each other. This means they have the same absolute value but different signs—one is negative, and the other is positive. The distance of both points to zero, which is the origin on the number line, is three halves units. Hence, both -3/2 and 3/2 are equally far from zero, with a distance of 1.5 units (or three halves).