What part of the word commutative means to go back and forth?

The part of the word "commutative" that means "to go back and forth" is the "mut" part, which comes from the Latin word "mutare," meaning "to change."

Here's why:

* Commutative refers to the property in mathematics where the order of operations doesn't change the result. For example, 2 + 3 = 3 + 2.

* "Mut" hints at the idea of things being interchangeable or changing places, which aligns with the back-and-forth nature of the commutative property.

Therefore, the "mut" in "commutative" signifies the "going back and forth" aspect of the property, suggesting that the order of elements can be reversed without affecting the outcome.