1. 1.1 Real Numbers & Number Operations
OBJ: To Use a number line to graph and order real number & Identify properties of and use operations with real numbers
1.1 Real Numbers & Number Operations
Whole #s: { 0, 1, 2, 3, ...}
Integers: { ... , -3, -2, -1, 0, 1, 2, 3, ...}
Rational #s: can be written as a ratio of 2 integers & when written as decimals, they terminate or repeat.
Like ¾ = or 1/3 =
Irrational #s: when written as decimals do not terminate & do not repeat. Like √2 or ∏

2. Whole # Integer Rational # Irrational # Example 1
Give three examples (not from the notes) of each of the following:
Whole #
Integer
Rational #
Irrational #

3. Properties of Addition & Multiplication
Property
Addition
Multiplication
Closure
Commutative
Associative
Identity
Inverse
a + b is a real #
ab is a real #
a + b = b + a
ab = ba
(a + b) + c = a + (b + c)
(ab)c = a(bc)
a + 0 = a
a ∙ 1 = a
a + (-a) = 0
a ∙ 1/a = 1, a≠0
The Distributive property involves both Add. & Mult.
a(b + c) = ab + ac

4. (3 + 9) + 5 = 3 + (9 + 5) 4 + (-4) = 0 8 ∙ 1 = 8 Example 2
Identify the property.
(3 + 9) + 5 = 3 + (9 + 5)
4 + (-4) = 0
8 ∙ 1 = 8
Associative Property of Addition
Additive Inverse
Multiplicative Identity