1. Day Problems Simplify each expression. 1. 2 (5 + 9) – 62. (2 + 9) (8 – 4) 3. 6 [13 – 2 ( 4 + 1)] Evaluate each expression for m = 4 and r = 8. 4. m 2 + r 2 5. 2m 2 r

2. 1.3 Exploring Real Numbers Natural numbers - counting numbers starting with 1. Ex. 1, 2, 3, …. Whole numbers – counting numbers starting with 0. Ex. 0, 1, 2, 3, … Integers – Counting numbers – no decimals. Ex. -2, -1, 0,1, 2, etc. Rational number – any number that you can write in the form a, where a and b are integers b and b ≠ 0.

3. Classifying Numbers Name the set(s) of numbers to which each number belongs. a. c. 0 b.23d. 4.581 Solutions: a.Rational numbers b.Natural number, whole number, integer, rational number c.Whole number, integer, rational d.Rational number

4. Irrational number Irrational number - cannot be expressed in the form a, where a and b are integers. b Ex. 0.101001000…., π, These are irrational because the decimals of each of these are nonrepeating and nonterminating.