MATH10_ChP-2 Outline

# MATH10_ChP-2 Outline - c = a bc c Distributive Properties – applies whenever a number is multiplied by a sum i a b c = ab ac ii b c a = ab ac 4

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College Algebra (SU09-MATH10-0312) S. Cotteen SECTION P.2: REAL NUMBERS AND THEIR PROPERTIES 1. Types of Real Numbers. a. Natural Numbers – whole numbers greater than zero. b. Integers – All whole numbers (positive and negative), including zero. c. Rational Numbers – Numbers that can be expressed as a fraction (includes repeating decimals). d. Irrational Numbers – Numbers that cannot be expressed as a fraction (includes non- repeating decimals). 2. Operations on Real Numbers. a. Order of Operations: i. Operations inside parentheses. ii. Multiplication and division, left to right. iii. Addition and subtraction, left to right. 3. Properties of Real Numbers. a. Commutative Properties . i. a + b = b + a ii. ab = ba b. Associative Properties . i. ( a + b ) + c = a + ( b + c ) ii. ( ab

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Unformatted text preview: ) c = a ( bc ) c. Distributive Properties – applies whenever a number is multiplied by a sum. i. a ( b + c ) = ab + ac ii. ( b + c ) a = ab + ac 4. Addition and Subtraction. a. Additive Identity : a + 0 = a , where a is any real number. 5. Multiplication and Division. a. Multiplicative Identity : a x 1 = a , where a is any real number. File: 13f0abe7b7b20e3e2326b91f778b6f0c346ec7e3.doc Updated: 8/14/09 College Algebra Chapter P Page 2 of 2 b. Properties of Fractions. i. Property 2: a / b ÷ c / d = a / b x d / c . ii. Property 4: a/b + c/d = (ad + bc)/bd iii. Property 6: If a / b = c / d , then ad = bc . File: 13f0abe7b7b20e3e2326b91f778b6f0c346ec7e3.doc Updated: 8/14/09...
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## This note was uploaded on 08/13/2009 for the course MATH 10 taught by Professor Lauragraff during the Summer '09 term at College of the Desert.

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MATH10_ChP-2 Outline - c = a bc c Distributive Properties – applies whenever a number is multiplied by a sum i a b c = ab ac ii b c a = ab ac 4

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