Hi, all. I'm new here but have a dumb question that's really bugging me. Maybe someone has the answer. I just don't see any difference between the commutitive property of addition and the associative property. Other than commutitive involving two numbers and associative involving three (or more), I can't see why there has to be a distinction between them. Am I missing something or is this one of those things mathematitians just love to dwell on?
And while we're at it, it appears that the term "polynomial" has two meanings. One is the name for the whole body of "nomials" and other specifically represents an expression with more than three terms. Is this correct as well? Seems kinda confusing to me.