Associative Property = (ab)c a(bc) of Multiplication Additive Identity + 0 = a a Multiplicative Identity = a·1 a Additive Inverse Multiplicative Inverse Distributive Property of a(b + c) = ab + ac Multiplication over Addition From the Identity Property, we can say that 0 is the additive identity and 1 is the multiplicative identity. Similarly, from the Inverse Property, is the additive inverse of and is the multiplicative inverse of a a because they both equal the identity for their respective operations. Example Identify the property used in the equations below. a) ___________________________________________________ b) ___________________________________________________ c) ___________________________________________________
Associative Property of Multiplication a(bc) = (ab)c Additive Identity a + 0 = a Multiplicative Identity a·1 = a Additive Inverse Multiplicative Inverse Distributive Property of Multiplication over Addition a(b + c) = ab + ac From the Identity Property, we can say that 0 is the additive identity and 1 is the multiplicative identity. Similarly, from the Inverse Property, is the additive inverse of a and is the multiplicative inverse of a because they both equal the identity for their respective operations. Example Identify the property used in the equations below. a) ___________________________________________________ b) ___________________________________________________ c) ___________________________________________________
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