Which properties concern the commuting or moving around of quantities?

Properties that concern the commuting or moving around of quantities include the commutative property, which states that the order of addition or multiplication does not affect the result (e.g., (a + b = b + a) and (ab = ba)). The associative property allows for the grouping of quantities to be rearranged without changing the outcome (e.g., ((a + b) + c = a + (b + c))). Additionally, the distributive property facilitates the distribution of a single term across a sum or difference, preserving the equality (e.g., (a(b + c) = ab + ac)). These properties are fundamental in algebra and help simplify expressions and solve equations.