For the commutative property ...
According to wikipedia:
The word "commutative" is a combination of the French word commuter meaning "to substitute or switch" and the suffix -ative meaning "tending to" so the word literally means "tending to substitute or switch."
Therefore the choice of the word commutative to represent the concept of commutative property makes sense.
if you switch the order of the operands, you get the same result
a * b = b * a
What is the corresponding story for the associative property?