Question

State the absolute value and the opposite of the number.

$- 9$

Short answer

The opposite of– 9 is + 9.

Step-by-step solution

What do opposites mean in integers?

The opposite of a number is the number on the other side of 0 on the number line, and the same distance from 0 on the number.

The opposite of a positive integer is a negative integer. So, the opposite of the integer +52 is −52.

How do you identify an integer and its opposites?

An integer and its opposite are the same distance (in the opposite directions) from 0 (zero) on the number line.

For example, – 12 and 12 are opposites, and the same distance from (zero) on the number line.

The opposite of a number is the number on the other side of 0 (zero) on number line, and the same distance from 0

Example on number line:

$- 4$is the opposite of $4$:

3 is opposite of $- 3$

State the absolute value. 

The absolute value of a number means the distance from zero that a number is on the line without considering the sign (positive or negative) of the number.

The absolute value of a number is always positive.

Find the opposite of an integer of – 9.

According to the question, find the opposite of integer of – 9.

The opposite of a number is the number on the other side of $0$(zero) on a number line, and the same distance from $0$(zero). Both the numbers have the same absolute value but different signs.

Rule: The opposite of negative ‘$-$’ is positive ‘$+$’, or opposite of positive ‘$+$’ is negative ‘$-$’.

Therefore, the opposite of $- 9 \text{is} 9.$