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

2. The World of Numbers!

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

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

5. Graphing Numbers on a Number Line

6. 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

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

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