Which two points on the number line are opposites?

Question

A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2.
points A and B
points B and C
points C and D
points A and D

Answer 1

To determine which two points on the number line are opposites, we first need to locate each point based on the descriptions given:

1. Point A: 1 mark to the left of negative 1 is -2.
2. Point B: Half-way between negative 1 and 0 is -0.5.
3. Point C: Half-way between 0 and 1 is 0.5.
4. Point D: Half-way between 1 and 2 is 1.5.

Now, let's identify the opposite of each point:

• The opposite of A (-2) is 2.
• The opposite of B (-0.5) is 0.5, which is Point C.
• The opposite of C (0.5) is -0.5, which is Point B.
• The opposite of D (1.5) is -1.5, which is not represented in the points given.

We can see that the opposite pairs are:

• Points B (-0.5) and C (0.5).

Therefore, the two points on the number line that are opposites are points B and C.