Distributive Property Multiplication distributes over addition.
Additive Identity Property Definition: Zero preserves identities under addition. In other words, adding zero to a number does not change its value. Example: a + 0 = a and 0 + a = a
Multiplicative Identity Property Definition: The number 1 preserves identities under multiplication. In other words, multiplying a number by 1 does not change the value of the number. Example: a ∙ 1 = a and 1 ∙ a = a
Additive Inverse Property Definition: For each real number a there exists a unique real number –a such that their sum is zero. In other words, opposites add to zero. Example: a + (-a) = 0