Question

Which two points on the number line are opposites? 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.

Answer 1

Sample Response: Change the improper fraction to the mixed number 21

2

. There are two complete wholes and a half left over. Plot 21

2

on the number line halfway between 2 and 3, or Point D.

Explanation:

Answer 2

Points B and C

Explanation:

Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...

• Point A = -2 ... since it is one position left of -1 which is -2 since each mark is a difference of 1 and to the left is a negative value.
• Point B = -0.5 ... since half-way between -1 and 0 is half of -1 which is -0.5
• Point C = 0.5 ...since half-way between 0 and 1 is basically half of 1 which is 0.5
• Point D = 1.5 ... since half-way between 1 and 2 is exactly that 1.5

Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.