1. REAL Numbers Rational #’s Irrational #’s Whole #’s 0, 1, 2, 3 … Integers: …-2, -1, 0, 1, 2 … Rational #’s ( ) (1/2, 2/3, 5/1, 0.5, 0.666…, 5) e 0.1010010001…

2. What is a set? A collection of items (called “elements”) 0, 1, 2, … “Set builder notation” ‘a’ and ‘b’ are integers, b ≠ 0 ‘a’ and ‘b’ are integers, b ≠ 0

3. Converting between fractions and decimals How can you tell from your calculator if the decimal “terminates”, “repeats”, or doesn’t terminate/repeat? “terminates”, “repeats”, or doesn’t terminate/repeat? “rational numbers” (fractions) always either: 1) terminate 2) repeat

4. a > b: what can you say about: a – b (positive/negative/zero?) a ≥ b: what can you say about: a – b (positive/negative/zero?) a < b: what can you say about: a – b (positive/negative/zero?) a ≤ b: what can you say about: a – b (positive/negative/zero?)

5. Inteval notation (1, 2) Looks like the ordered pair: x = 1, y = 2 From the context where it is used you will be able to tell if it is an ordered pair or an interval of numbers. (1, 2) “all of the #’s between (but not including) 1 and 2” vs. inequality notation (1, 2): means the same thing as: 1 < x < 2 [1, 2] “all of the #’s between (including) 1 and 2” [1, 2]: means the same thing as: 1 ≤ x ≤ 2

6. Inteval notation vs. inequality notation Convert to Inequality notation: [1, 2) (1, 2] (∞, 2) (∞, 2) U (7, ∞) (∞, 2] U (5, ∞) Graph 12 [ ) Your turn: 1. 2. 3. 4. 5. 8. (graph #4) 7. (graph #3) 6. (graph #2) 9. (graph #5)

7. Do you remember Properties of Exponents? Power of a Power Power of a Power Product of Powers Power of a Product Negative Exponent Property Quotient of Powers Zero Exponent Property