Question

Which of the following statements about opposites are true?

Option 1: Opposites are numbers located on opposite sides of 0 on a number line.
Option 2: The sum of opposites is always 1.
Option 3: The product of opposites is always 1.
Option 4: Opposites are the same distance from 0 on a number line.

Answer 1

The correct statement about opposites is that they are numbers located on opposite sides of 0 on a number line.

Step-by-step explanation:

The correct statement about opposites is: Option 1: Opposites are numbers located on opposite sides of 0 on a number line.

Opposites are numbers that have the same absolute value but different signs. For example, -5 and 5 are opposites because they are both 5 units away from 0 on a number line but have different signs. Option 2, 3, and 4 are not true statements about opposites. Option 2 is not always true, as the sum of opposites can be any negative or positive number. Option 3 is not true, as the product of opposites is always negative. Option 4 is also not true, as opposites can be the same distance from 0 but have different signs.