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Properties and Identities
distributive, commutative, associative, additive identity, reflexive, symmetric, etc..
13
Mathematics
8th Grade
08/24/2010
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Term
Distributive Property
 Definition

a(b+c)=ab+ac

For any number a, the product of a and 1 is a
Term
Commutative Property of Addition
 Definition

a+b=b+a

1
Term
Commutative Property of Multiplication
 Definition

a*b=b*a

 
Term
Associative Property of Addition
 Definition
(a+b)+c=a+(b+c)
Term
Associative Property of Multiplication
 Definition
(ab)c=a(bc)
Term
Additive Identity
 Definition
a+0=0+a=a
Term
Multiplicative Identity
 Definition
a*1=1*a=a
Term
Multiplicative Property of Zero
 Definition
a*0=0*a=0
Term
Multiplicative Inverse
 Definition

1*1

1/3*3/1=1
Term
Reflexive
 Definition
a=a
Term
Symmetric
 Definition

a=b

b=a
Term
Transitive
 Definition
a=b,b=c,a=c
Term
Substitution
 Definition

a=b

b=a
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