Inverse Operations with Examples

Inverse Operations – Examples & Quiz

Welcome to the inverse operations with examples page.

Addition, subtraction, multiplication, and division are mathematical operations. 

Instructions: Please see the examples below before attempting this quiz. Then perform inverse operations to solve each of the following equations.

[WpProQuiz 19]

What are Inverse Operations?

You will need to understand inverse operations in order to solve algebra problems on your examination.

Subtraction is the inverse of addition and division is the inverse of multiplication.

An inverse operation changes a number or variable back to its original value. So, you reverse the operation when you perform inverse operations.

Inverse operations can be performed on numbers, variables, or algebraic terms. Now look at the examples that follow.

Inverse operations examples – Addition

The inverse of addition is subtraction.

Original value:  5

Original operation:  5 + 3 = 8

Inverse operation:  8 – 3 = 5

Inverse operations – Subtraction

The inverse of subtraction is addition

Original value:  8

Original operation:  8 – 6 = 2

Inverse operation:  2 + 6 = 8

Inverse operations – Multiplication

The inverse of multiplication is division.

Original value:  x

Original operation:  x × y = xy

Inverse operation:  xy ÷ y = x


Inverse operations – Division

The inverse of division is multiplication.

Original value:  5b

Original operation: 5b ÷ b = 5

Inverse operation:  5 × b = 5b

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