Question

Which statements are true about opposites?

A) opposites are numbers located on opposite sides of 0 on a line number.

B) the sum of opposites is always 1.

C) the product of opposites is always 1

D) opposites are the same distance from 0 on a number line

E) opposites name the same location on a number line

Answer 1

A and D.

Explanation:

Two integers are opposites if they are each the same distance away from 0, but on opposite sides of the number line. For example, 6 and -6 are opposites.

Given a number line of the real number system, the following are true about opposites.

A) opposites are numbers located on opposite sides of 0 on a line number.

For example: -1 and 1 are opposite in which -1 is located to the left of 0 and 1 is located to the right of zero.

(D)Opposites are the same distance from 0 on a number line.

The distance of opposites from 0 on the number line is the same. This is as a result of the fact that the distance from zero is irrespective of the sign.

|-3|=|3|=3

The correct options are A and D.