# Programmed Math/Commutative

An operation is commutitive if and only if the order does not affect the result.

For example, addition is commutitive for the real numbers; thus, if ${\displaystyle a,b}$ are both real:

${\displaystyle a+b=b+a}$

An operation that is not commutitive is subtraction over the reals; ie, the following is not true:

${\displaystyle a-b=b-a}$