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**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**

Examples:

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 x 9|

c. |18 / −3|

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 7 Math

Math Worksheets

Videos, worksheets, stories and songs to help Grade 7 students learn how about opposites and absolute value of integers.

Each integer has an opposite.

For example,

The opposite of +5 is - 5.

The opposite of -3 is +3.

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?

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)))

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.

Examples:

Write the absolute value and opposite of

a) −16

b) 140

c) −1

d) 0

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 x 9|

c. |18 / −3|

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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