mgb5e_ppt_1_8 - (-5)( x-3 y ) Example : Simplify. (-5)( x-3...

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§ 1.8 Properties of Real Numbers
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Martin-Gay, Beginning Algebra, 5ed 2 Commutative and Associative Property Associative property Addition: ( a + b ) + c = a + ( b + c ) Multiplication: ( a · b ) · c = a · ( b · c ) Commutative property Addition: a + b = b + a Multiplication: a · b = b · a
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Martin-Gay, Beginning Algebra, 5ed 3 Using the Properties (5 + x ) - 3 Example : Simplify. ( 5 + x ) - 3 = 5 + ( x - 3) = [5 + ( - 3)] + x = 2 + x Example : Simplify. – 4(7 x ) – 4(7 x ) = (– 4·7) x = – 28 x
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Martin-Gay, Beginning Algebra, 5ed 4 Distributive Property of Multiplication Over Addition a ( b + c ) = ab + ac Identities 0 is the identity element for addition. a + 0 = a and 0 + a = a. 1 is the identity element for multiplication. a · 1 = a and 1 · a = a. Distributive Property
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Martin-Gay, Beginning Algebra, 5ed 5 Using the Distributive Property
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Unformatted text preview: (-5)( x-3 y ) Example : Simplify. (-5)( x-3 y ) = (-5)( x ) = -5 x-(-15 y ) = -5 x + 15 y-(-5)(3 y ) Example : Simplify. 1 2 1 3 5 3 4 x y + - 1 2 1 3 5 3 4 x y + - 1 2 1 3 3 3 5 3 4 x y = + - 3 3 2 5 4 x y = + -Martin-Gay, Beginning Algebra, 5ed 6 Inverses The numbers a and a are additive inverses or opposites of each other because their sum is 0. a + ( a ) = 0 Inverses The numbers b and (for b 0) are reciprocals or multiplicative inverses of each other because their product is 1. 1 b 1 1 b b =...
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This note was uploaded on 06/10/2009 for the course MAC 1103 taught by Professor Prescott during the Spring '09 term at Pasco-Hernando Community College.

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mgb5e_ppt_1_8 - (-5)( x-3 y ) Example : Simplify. (-5)( x-3...

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