Inverse operations

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


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:


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.