Transitive Property: If a, b, and c are real numbers such that a = b and b = c, then a = c. My many years of experience informs me that this statement is presented, receives brief discussion and then is never again mentioned or used in beginning algebra classes. My experience includes evaluation of
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The Distributive Property
Distributive Property: If a, b, and c are real numbers, then a(b+c) = ab+ac. Examples: The distributive property tells us (without calculations) that 3(2 + 9) = (3)(2) + (3)(9). The Distributive Property assures us the two expressions are equal but if you are a doubter you may easily verify this statement by observing that