# Inverse operations

Inverse operations are two operations, each of which "undoes" the other. For example, addition and subtraction are inverse operations:

Example

4 + 3 | = | 7 |

7 - 3 | = | 4 |

As can be seen, adding 3 to 4 and then subtracting 3 from the sum leaves us where we started, with 4.

Multiplication and division are also inverse operations:

Example

6 × 5 | = | 30 |

30 ÷ 5 | = | 6 |

As with addition and subtraction, it can be seen from this example that multiplication and division essentially cancel each other out, and multiplying and then dividing a starting value by the same value, results in the same starting value at the end of the process.

See also fact family.