commutative property | commutativity | law of commutativity

An operation * is said to be commutative if x*y = y*x for all x and y.

Two elements x and y of a set S are said to be commutative under a binary operation * if they satisfy x*y = y*x. Real numbers are commutative under addition x + y = y + x and multiplication x·y = y·x. The Wolfram Language attribute that sets a function to be commutative is Orderless.

associative | commutative algebra | commutative diagram | commutative monoid | commutative ring | commute | commuting matrices | distributive | transitive

Orderless

elementary school level (California grade 2 standard)