IA_GPS_1

# IA_GPS_1 - 2 Classify each real number as one or more of...

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R0907 a.s. http://faculty.valencia.cc.fl.us/ashaw INTERMEDIATE ALGEBRA GPS #1 1.1 Describing Data with Set of Numbers NAME: Properties of Real Numbers: * Identity (0): The identity for addition is 0; a a = + 0 * Identity (1): The identity for multiplication is 1; a a = ! 1 * Commutative: a b b a + = + and a b b a ! = ! * Associative: ) ( ) ( c b a c b a + + = + + and ) ( ) ( c b a c b a ! ! = ! ! * Distributive: ac ab c b a + = + ) ( and ac ab c b a ! = ! ) ( Note: c b a , , are real numbers. 1. Complete the sets of numbers for the following: a) Natural Numbers b) Whole Numbers c) Integers = { 1 , , , ,…} = { , 1 , , ,…} = { …, , , , 1 , , ,…} 2. Classify each real number as one or more of the following: natural number, whole number,
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Unformatted text preview: 2. Classify each real number as one or more of the following: natural number, whole number, integer, rational number or irrational number. 9 , 8 , , 3 , 10 , 2 , 13 7 , , 2 3 , 1 ! " " " " Natural numbers: Whole numbers: Integers: Rational numbers: Irrational numbers: 3. State the property of real numbers that justifies the following statements. a) ) 4 ( 2 ) 4 2 ( x x ! ! = ! ! b) 3 3 + = + p p c) 6 3 6 ) 3 1 ( ! = ! ! d) ) 9 2 ( 3 9 ) 2 3 ( + + = + + 4. Apply the distributive property to the following: a) = + ) 5 ( 2 x b) = + ! x x x 3 7 c) = + ! ) 3 ( 3 8 x d) = ! ! ) 2 ( 2 5 x 5. Calculate the average of the list of numbers. a) 2,5,11,6 b) 14,15,17,18,26...
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