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 3 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the right of 0. Point D is 2 marks to the right of 1.
Answers
Given : A number line going from negative 2 to positive 2 in increments of 1.
There are 3 equal spaces between each number.
Point A is 1 mark to the right of negative 2.
Point B is 1 mark to the right of negative 1.
Point C is 1 mark to the right of 0.
Point D is 2 marks to the right of 1.
To Find : Which two points on the number line are opposites
Solution:
There are 3 equal spaces between each number.
Hence 1 Space = 1/3
Point A is 1 mark to the right of -2 = - 2 + 1/3 = - 5/3
Point B is 1 mark to the right of -1 = - 1 1/3 = - 2/3
Point C is 1 mark to the right of 0 = 0 + 1/3 = 1/3
Point D is 2 marks to the right of 1 = 1 + 2/3 = 5/3
two points on the number line are opposites if Their absolute values are same
Point A and Point D have absolute value = 5/3
Hence points A & D on the number line are opposites
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