Anticipatory Set: Warm-up Transparency 2-7
One marble is randomly selected from a jar containing 25 white, 50 green, 15 red, and 60 blue marbles. Find each probability.
1. P(green or red)
2. P(not white)
3. Fidn the odds that the number chosen is an integer if one number is randomly chosen from teh set {1, 1 3/4, 2, 3, 3 3/4, 4 1/2}
4. A store printed 500 scratch off coupons with several different percents for discounts on them. Based on the information in the table, what was a customer's chance of getting a discount greater than 15% on one randomly chosen card?

5. If the odds that an event will occur are 6 : 7, what is the probability that the event will not occur?
A. 7     B. 6/7     C. 6/13     D. 7/13

Square Root: one of two equal factors of a number
3 * 3 = 9 ( the threes are equal factors)
√9 = 3 "square root of 9 equals 3"
square roots mean do something to the number, same as exponents
perfect square: any number whose square root is a rational number
radical sign: (√) used to indicate a square root
principal square root: nonnegative of the expression under the radical (default value since we think in positives)
√n : principal (positive value)
- √n : negative value
±√n : give both values

Example 1: Find each square root
A. √16     B. √9     C. ±√ (16/9)     D. √0.0144     E. √(- 25)

Remember back to 2-1, when we learned about rational numbers? Now add to it. Look at the table on p 104 of your text books

Irrational Number: numbers that cannot be written in the form a/b
    non-terminating decimals
Real Numbers: set containing rational adn irrational numbers

Example 2: Name the set(s) of numbers to which each real number belongs
A. √17     B. 1/6     C. √169     D. - 327

We've been plotting rational numbers, but you can also plot irrational numbers!

Completeness Property: each point on teh number line corresponds to exacly one real number

Example 3: Graph each solution set
A. y ≤ 8      B. z > - 5

Rational Approximation: rational number that is close to, but not equal to, the value of the irrational number

Example 4: replace each ◊ with a <, >, or = to make each sentence true.
A. 14 ◊ √196      B. √48 ◊ 6.9

Example 5: Write 12/5, √b, 2.4, and 61/25 in order from least to greatest.

Homework: p107 # 2, 3, 21-66(3rds)