Apply Properties of Real Numbers Notes 1.1(Day 1) Apply Properties of Real Numbers

The World of Numbers!

Rational Numbers - Can be written as quotients of integers - Can be written as decimals that terminate or repeat Examples:

Irrational Numbers - Cannot be written as quotients of integers - Cannot be written as decimals that terminate or repeat Examples:

Graphing Numbers on a Number Line

Properties of Addition and Multiplication! : ) Property Addition Multiplication Closure a + b is a real number. ab is a real number Commutative a + b = b + a ab = ba Associative (a + b) + c = a + (b + c) (ab)c = a(bc) Identity a + 0 = a, 0 + a = a a ∙ 1 = a , 1 ∙ a = a Inverse a + (-a) = 0 a ∙ = 1, a ≠ 0 Distributive Property: a(b + c) = ab + ac

Identify the Property that the statement illustrates. (2 ∙ 3) ∙ 9 = 2 ∙ (3 ∙ 9) 15 + 0 = 15 4(5 + 25) = 4(5) +4(25) 1 ∙ 500 = 500

Homework: page 6 3-8, 11-16, 49-54