# Reflexive Property Symmetric Property Transitive Property Addition ```Algebra 2
Section 1.3: Basic Properties of Real Numbers
Reflexive Property
3=3
Symmetric Property
1+2=3
3=1+2
Transitive Property
If c = b+1 and b+1 =4 ,
then c = 4
If a = b ,
then a+2 = b+2
what you do to one side of the equation, you must do to the other side
Multiplication Property
If a = b ,
then a•2 = b•2
what you do to one side of the equation, you must do to the other side
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Algebra 2
Section 1.3: Basic Properties of Real Numbers
Commutative Property
1 + 3 is the same as 3 + 1
What other operations (subtract, multiply, or divide) would work with the Commutative Property?
Associative Property
(1+3)+5 is the same as 1+(3+5)
What other operations (subtract, multiply, or divide) would work with the Commutative Property?
2
Algebra 2
Section 1.3: Basic Properties of Real Numbers
Identity Properties
7+0=7
or
7•1=7
Property of Opposites
6 + (-6) = 0
Property of Reciprocals
2•&frac12;=1
3
Algebra 2
Section 1.3: Basic Properties of Real Numbers
Distributive Property
3(2 +5) = 3•2 + 3•5
4
Algebra 2
Section 1.3: Basic Properties of Real Numbers
Open your books to page 17 and as a
class we will go through 9-24 on the
Oral Exercises
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