1. 1-1 Properties of Real Numbers Objectives: Identify the subsets of real numbers.Identify the subsets of real numbers. Identify the properties of real numbers.Identify the properties of real numbers. Find the opposite and reciprocal of a number.Find the opposite and reciprocal of a number. Place real numbers on a number line.Place real numbers on a number line.

2. Vocabulary  Natural Numbers – 1,2,3,4… the counting numbers  Whole Numbers – 0,1,2,3… the counting numbers & 0  Integers – …-2,-1,0,1,2… the whole numbers & negatives  Rational Numbers – Integers & fractions & terminating or repeating decimals  Irrational Numbers – Non-terminal, non-repeating decimals  Real Numbers – all of the above

3. More Vocabulary  Additive Inverse – opposite  Multiplicative Inverse – reciprocal  Absolute Value – how far a number is from 0

4. Properties

5. Example Recreation – Many mathematical relationships involving variables are related to amusement parks. Which set of numbers best describes the values for each variable? a.The cost C in dollars of admission for n people. The cost C of admission is a rational number (such as $7.25), and the number n of people is a whole number. c.The park’s profit (or loss) P in dollars for each week w of the year The week number w is one of the first 52 natural numbers, and the profit (or loss) P is a rational number. 1

11. Sample Problems