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What is the difference between a commutative axiom and an associative axiom?

In: Algebra, Geometry, Abstract Algebra [Edit categories]

Answer:

Commutative Property: The order of the objects from left to right doesn't matter.
For example : 5+3+2 = 3+2+5 = 2+3+5, etc... Because addition is commutative.

Associative Property: Where we put parentheses doesn't matter.
For example: x(yz) = (xy)z if x, y, and z are numbers.

First answer by Thegremlin19. Last edit by Thegremlin19. Contributor trust: 0 [recommend contributor ]. Question popularity: 1 [recommend question].

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