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In mathematics, the '''commutative property''' states that a [[binary operation]] <math>*</math> on a set '''A''' is said to be commutative if for all <math>x,y</math> in '''A'''  we have <math>x*y=y*x</math>. An Example of a commutative operation is [[addition]] in the [[real numbers]]. When a [[Group (mathematics)|group]]'s operation is commutative, it is said to be [[abelian]].

In mathematics, the '''commutative property''' states that a [[binary operation]] <math>*</math> on a set '''A''' is said to be commutative if for all <math>x,y</math> in '''A'''  we have <math>x*y=y*x</math>. An example of a commutative operation is [[addition]] in the set of [[real numbers]]. When a [[Group (mathematics)|group]]'s operation is commutative, it is said to be [[abelian]].

In layman's terms, an equation demonstrates commutativity when the constants or variables can be moved around an operation without changing the answer (e.g. 1 + 2 = 2 + 1  or  2 * 3 = 3 * 2).  

In layman's terms, an equation demonstrates commutativity when the constants or variables can be moved around an operation without changing the answer (e.g. 1 + 2 = 2 + 1  or  2 * 3 = 3 * 2). It is as if the numbers are "commuting" from one place to another.  Thus, using real numbers, both multiplication and addition are commutative, and subtraction and division are not.

It is as if the numbers are "commuting" from one place to another.

The commutative property <strike>implies</strike> does not imply the [[associative property]].

The commutative property <strike>implies</strike> does not imply the [[associative property]].

[[Category:Mathematics]]

[[Category:Mathematics]]