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Chapter : The Real Number System SSM: Elementary Algebra 99. 0. % Presidential debates, newspaper stories, and T.V. news have percentages greater than %. 0. No; a person may have chosen more than one category. 0. a x, so a ( x) x 0. ( + ) 0. ( ) Section.. In a sum, the addends can be added in any order. In a product, the factors can be multiplied in any order.. ( + 9) + + (9 + ) ; Associative Property of Addition. ( ) ( ) 0; Associative Property of. Associative Property of Addition 9. Property of Additive Inverses. Additive Identity Property. Distributive Property. Commutative Property of. For addition, the number 0 is the additive identity. 9. c c. x + x 0. x + y (x + y). x, x 0 x. (6 + x) (x + 6) 9. (a) Associative Property of Addition (b) Commutative Property of Addition (c) Associative Property of Addition (d) Distributive Property (e) Commutative Property of. (a) Associative Property of (b) Commutative Property of (c) Associative Property of. (d), 0 n 0. (e), n. (b), a a, a 0 9. n n(0 + ) 0n + n. (x + ) x + 6. (y ) y. x( + y) x + xy. a(x ) ax a 9. x + y (x + y). y z (y z). ax + ay a(x + y). x + 6 (x + ). a 6 (a ) 9. 0 (00 + ) 00 + 6. 9 (00 ) 00 6. 9 + (9 + ) 6. ( ) 6. 0 + (0 + ) 69. (a) 00 (9 + + + + ) 00 % of the families eat together on or weekdays.
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SSM: Elementary Algebra Chapter : The Real Number System 69. 0. 6 0 + ( ). 6 6. 0 ( ) 0 +..9 (.).9 +. 9.6 9. 6 0. 9 + ( ) 9 + +. (a) Definition of Subtraction (b) Associative Property of Addition. (a) Property of the Opposite of a Difference (b) Definition of Subtraction (c) Associative Property of Addition (d) Property of Additive Inverses (e) Additive Identity Property. () 9. ( ) 9 9. ( 6) 9 + 6 9. 0( ) 0+ 9. 9, 0 ( 90) 9, 0 + 90 0, 9 feet 9.. + (.) + (.) + 0.6.9.9 inches below average 99., 00 +, 9 00 00 9 0 00 69 66 00 +, 0 00 +, 90, 0 0.. miles 0 0. (a)a b is negative (b) b a is positive 0. ( ) 0. ( ) Section.. In both cases, multiply the absolute values of the numbers. For like signs, the product is positive; for unlike signs, the product is negative.. ( ). () 0. ( )( ) 9. 6( ). 0 0 00. ( ).. (0)( ) 0 9. (.)(.) 6...(.)..??.??. Because there are an even number of negative factors, the product is positive. 9. ( )( )( ). ( )( )()(). ( )( )()()( 6) 6
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Chapter : The Real Number System SSM: Elementary Algebra 6. 6. (. ) 9. 6. 0 ( 0) ( 6) ( 6) 6 6. 69. ( ) 9.. 0 0 is undefined. ( 9) 9 + ( ) +. ( ) 9. ( ) ( ) 9 ( ) ( + ) 9 ( ) 6 ( ) 0 9. 6. (. ). 0 0 ( 0) 0. (a) Rule for Fractions (b) Distributive Property (c) Rule for Fractions. (a) Rule for Fractions (b) Associative Property of (c) Property of Inverses (d) Multiplicative Identity Property.? ( )? 9.? ( ) 0? 0 9. Average daily change 9
SSM: Elementary Algebra Chapter : The Real Number System 9. (a) 0,00 +,000 + 0 + 00 + 60 + 0,660 0, 00 0 (b), 660 9, 000 600, 660 0, 660 66 00 0, 660 60, 660 9 0, 660 66 9. Army: 0,6 +,60 6,06 Navy:,99 +,9,0 Marines: 690 +,0 09 Air Force:,06 +,09 6,, 000, 000 9. Army:, 000 +, 000 6, 000 6, 000, 000 6 Navy:, 000 +, 000 6, 000 000 000 Marines: 000 + 000 000, 000, 000 Air Force:, 000 +, 000 6, 000 6 99. 0. a b a b is negative is positive 0. 0 6 Chapter Review Exercises. {,,, 0}. (a) 0.6, terminating (b) 06., repeating. (a) {0,,, } (b) {...,, 0,, }
6 Chapter : The Real Number System SSM: Elementary Algebra. (a) True (b) True (c) False (d) True 9. (a) (b) Division (c) Subtraction (d) Addition. b b b b b. 6 6. [ ( 0)] (0) 0. (a) + + (b) > (c) 0 < 9. Property of Multiplicative Inverses. Commutative Property of Addition. Property of Additive Inverses. 6 (x + ) 6x +. Additive Identity, 0 9. + ( ) 9.. + (.) 9.. + ( ) +. 6 + + ( ). ( 9 + ) + ( + ) ( ) + ( ) + ( ) 9. (ii); 0. 0. and LCD is. + + 9 + 0 +. The number n must contain a factor of or. 9. Change minus to plus and change to.. ( ) +. ( ) + 9. ( 9) + 9. 6 ( ) 6 + 0 ( ) ( 6) 6 + + 6 9. ( ) 6. ( )( )( )( 6) 9 6 6. 6 6. ( ) ( ) ( )( 6) 6. ( 6) ( )( 6) 6+ 6 00 0 69.. ( ) ( ) ( ). 6. 6 9 6 6 9 9
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