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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 Addition 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 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 1 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•½=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 5