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# Commutativity

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Commutativity for a given operation means that the order of the operands can be switched and the result is the same. For example, addition is commutative since ${\displaystyle a+b=b+a}$ regardless of what ${\displaystyle a}$ and ${\displaystyle b}$ are.

Some operations that are not commutative include subtraction, e.g., ${\displaystyle a-b\neq b-a}$ (unless ${\displaystyle a=b}$).