Closure Property, A set is closed under an operation if doing that operation on members of the set always produces a result still in the set., Commutative Property, Changing the order of the numbers does not change the result (applies to addition and multiplication)., Associative Property, Changing the grouping of the numbers does not change the result (applies to addition and multiplication)., Distributive Property, Multiplying a number by a sum is the same as multiplying it by each addend separately:  a(b + c) = ab + ac., Additive Identity, The number 0, because adding 0 to any number leaves it unchanged., Multiplicative Identity, The number 1, because multiplying any number by 1 leaves it unchanged., Inverse Property , Every number has an opposite (additive inverse) that sums to 0, and a reciprocal (multiplicative inverse) that multiplies to 1., Greatest Common Factor (GCF(, The largest number that divides evenly into two or more numbers..

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