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Algebra I Properties
Algebra Structure and Method- McDougal Littell, page 88
15
Mathematics
9th Grade
12/16/2009
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Term
Reflexive property
 Definition
a=a
Term
Symmetric property
 Definition
If a=b, then b=a
Term
Transitive property
 Definition
If a=b and b=c, then a=c
Term
Substitution principle
 Definition
If a=b, then a may be substitute for b.
Term
Property of closure of addition
 Definition
a+b is a unique real number
Term
Property of closure of multiplication
 Definition
ab is a unique real number
Term
Commutative property of addition
 Definition
a+b = b+a
Term
Commutative property of multiplication
 Definition
ab = ba
Term
Associative property of addition
 Definition
(a+b)+c = a+(b+c)
Term
Associative property of multiplication
 Definition
(ab)c = a(bc)
Term
Identity property of addition
 Definition
a+0 = 0+a = a
Term
Identity property of multiplication
 Definition
a*1 = 1*a = a
Term
Property of opposites
 Definition
a+(-a) = (-a)+a = 0
Term
Property of reciprocals
 Definition
a*1/a = 1/a*a = 1 when a is inequal to zero
Term
Distributive property
 Definition
a(b+c) = ab+ac
a(b-c) = ab-ac
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