# Opposites and Absolute Value of Integers

These lessons, with videos, examples and solutions, help Grade 7 students learn how about opposites and absolute value of integers.

Each integer has an opposite.
For example,
The opposite of +6 is -6.
The opposite of -3 is +3.

The absolute value of an integer is its distance from 0 on the number line.

The following diagram shows opposite integers on the number line. Scroll down the page for more examples and solutions on opposite integers and absolute values. How to determine the Opposites of Integers?
To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative.
Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero.
The sum of two opposites is always zero.

This video provides two examples of determining the opposite of a given integer.
Examples:
What is the opposite of 4?
What is the opposite of -9?

Simplifying the Opposites of Negatives Integers
Shortcut:
An even number of negatives results in a positive.
An odd number of negatives results in a negative.

This video provides several examples of simplifying opposites of negative integers.

Examples:
Evaluate
−(5)
−(−3)
−(−(−1))
−(−(−(−8)))

Opposite and absolute value of an integer
Opposites: Two numbers that are the same distance from zero but on opposite sides.
Absolute value: The integer’s distance from zero on the number line.

Absolute Value and Opposite of Integers

Example:
Write the absolute value and opposite of
a) −16
b) 140
c) −1
d) 0

Opposites and Absolute Values of Integers
Learn about the opposites and absolute values of integers.

Examples:

1. Find the additive inverse of −1
2. Evaluate the expressions:
a. |−9| + |−7|
b. |−2 × 9|
c. |18 / −3|

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