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Mathematical Properties
AB
Closurea+b and ab are real numbers
Commutativea+b=b+a and ab=ba
Associative(a+b)+c=a+(b+c) and (ab)c=a(bc)
Additive Identitya+0=a and 0+a=a
Multiplicative Identitya*1=a and 1*a=a
Additive Inversea+(-a)=0 and (-1)+a=0
Multiplicative Inversea*a^-1=1 and a^-1*a=1
Distributivea(b+c)=ab+ac and (b+c)a=ba+ca

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