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Additive identity
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X+0=X
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Additive inverse
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X+(-X)=0
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Multiplicative identity
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X*1=X
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Multiplicative inverse
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X*1/X=1
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Commutative property of addition or multiplication
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CHANGING THE ORDERa*b=b*a or a+b=b+a
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Associative property of addition or multiplication
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REGROUPING (a+b)+c=a+(b+c) or (a*b)*c=a(b*c)
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Distributative property of addition or multiplication
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A(b+c)=ab+ac
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Definition of subtraction
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A-b=a+(-b)
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Definition of division
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A/b=a*1/b
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Zero property of smultiplication
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X*0=0
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Reflexive property of =
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X=X
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Symmetric property of =
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If a=b then b=a
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Transitive property of =
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If a=b and b=c then a=c
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Substitution princopal of =
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If a=b then (a) can be replaced by (b)
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Addition/subtraction property of =
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If a=b then a+c=b+cif a=b then a-c=b-c
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