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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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 , , ,…}
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

This note was uploaded on 10/18/2011 for the course MAC 1103 taught by Professor Shaw during the Summer '11 term at Valencia.

Ask a homework question - tutors are online