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1-8_Properties_of_Real_Numbers

# 1-8_Properties_of_Real_Numbers - a a-= ⋅-1 = 53 1 =-⋅...

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Pfenning – Algebra I NAME: _______________________ Properties of Real Numbers The following are true for every real number a , b , and c : Property Examples Distributive Property c a b a c b a + = + ) ( c a b a c b a - = - ) ( = + ) 2 4 ( 5 = + ) 2 ( 3 x Commutative Property of Addition a b b a + = + 4 + 6 = Commutative Property of Multiplication a b b a = = 8 9 Associative Property of Addition ) ( ) ( c b a c b a + + = + + = + + ) 5 4 ( 3 Associative Property of Multiplication c b a c b a = ) ( ) ( 4 ) 2 3 ( ) 4 2 ( 3 =

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Pfenning – Algebra I NAME: _______________________ Identity Property of Addition a + 0 = a = + 0 9 Identity Property of Multiplication a a = 1 = 1 9 Inverse Property of Addition a + ( – a ) = 0 = - + ) 6 ( 6 Inverse Property of Multiplication 1 1 = a a 0 a = 5 1 5 Multiplication Property of Zero 0 0 = a = - 0 253 , 1 Multiplication Property of -1

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Unformatted text preview: a a-= ⋅-1 =-) 53 ( 1 =-⋅-) 32 ( 1 Pfenning – Algebra I NAME: _______________________ Other problems to do in class: Name the property that each equation illustrates. 1) 2 1 2 1-= +-2) ) 3 4 ( 3 ) 4 ( ⋅ ⋅ = ⋅ ⋅ d d 3) 12 4 ) 3 ( 4-=-x x 4) 4 1 4-=-⋅ Tell whether the expressions in each pair are equivalent 1) 2 3 + x and x + ⋅ 1 3 2) c 5 3-and 3 5-c 3) ) 9 4 (--and 4 9-4) rt xyz ⋅ and zrt y x ⋅ ⋅ Pfenning – Algebra I NAME: _______________________ Simplify each expression 1) x x 6 3 12 + + 2) 2 1 5 4 2 4 1 5 2 1 4 +-+ Homework #____: p. 56 (1-10 and 31-39)...
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