Human: What is the difference between a commutative and associative property? Assistant: 
The difference between a commutative and associative property is that a commutative property implies an associative property, but not vice versa. A commutative property means that when two elements are combined together they produce the same result regardless of which element is combined with the other first. An associative property means that when two elements are combined together they always produce the same result no matter what order they are combined in.