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zero product property a⋅0=0 2⋅0=0 Additive Identity a+0=a 10+0=10 Multiplicative Identity a⋅1=a 10⋅1=10 Additive Inverse 7+(-7)=0 a+(-a)=0 Multiplicative Inverse a⋅1/a= 1 9⋅1/9=1 Commutative property a+b=b+a ab=ba 9(3)=(3)9 Associative property (a+b)+c=a+(b+c) (ab)c=a(bc) (1+2)+3=1+(2+3) Reflexive property of equality 4x=4x a=a Symmetric property of equality a=b so b=a Transitive property of equality if a=b and b=c then a=c if 5n=10x and 2y=10x then 5n=2y substitutional property if x=y and 3x=9 then 3y=9 Distributive property a(b+c)= ab+ac 2(n+7)=2n+14 7(2a+3x-5x)=14a+21x-35x=14a-14x