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# Sept. 21, 2012

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### Sept. 21, 2012

1. 1. TGIF: September 21, 2012 Today: Warm-Up The Real Number System Absolute Value Class Work: Absolute ValueNote: Links to Textbooks & Workbooks should be fixed.
2. 2. Warm-Up Questions For the following, identify the Terms Like Terms Coefficients Constants1. 2 + 6a + 4a 2. 4/7a + 3/7b + 1/5a 3. (-2x + y)5 - 15xthen simplify where possible Simplify the following: 1. -12c + 3 - 9(11 - c) 2. -.3x - 4.2 + 6.1x - .9
3. 3. The Real NumbersRational Numbers:Numbers expressed in the forma/b, where a and b are integers Includes all fractions, Mixed numbers, Ratios,and b ≠ 0 Proportions, & decimals. Integers: {…, -2, -1, 0, 1, 2, …}Whole Numbers: {0, 1, 2, 3,…}Natural Numbers: {1, 2, 3, …}Irrational Numbers:These numbers dont end andthey dont repeat. Ex. √2, Pi,
4. 4. Real Numbers Practice: For each of the numbers, write Natural, Whole, Integer, Rational, or Real according to its type. Most will have more than one classification.1. 0.25 2. 8.25252525 3. -1/2 4. 5 5. 0 6. -57. √5 8. 200 ft. below sea level
5. 5. Absolute Value: |x|• An important concept in Algebra; one that you should try to master.Absolute Value measures the distance a number is from zero.The following are illustrations of what absolute value means using the numbers 3 and -3:Since Absolute Value is a measure of distance, theresult can never be negative. (There can be no negativedistances)
6. 6. Absolute Value: |x|• If a number is positive (or zero), the absolute value function does nothing to it: |4| = 4• If a number is negative, the absolute value function makes it positive: |-4| = 4Find the value of the following: |5 + (-2)| Did you get 7? Unfortunately, thats wrong. If there is arithmetic to do inside the absolute value sign, you must do it before taking the absolute value sign. The correct answer is: |5 + (-2)| = |3| = 3
7. 7. Absolute Value: |x|• Simplify | 0 – 6 |• Simplify | 4+ (– 6)|• Simplify | 2 – 5 |• Simplify | 0(–4) |• Simplify | 2 + 3(–4) |• Simplify –| –4 |• Simplify –| (–2)2 |• Simplify –| –2 |2
8. 8. Class Work:• Opposites & Absolute Values 1-9• Pages 17-18, everything, including Mixed Review• You must show all your work in order to receive credit, even if you turn in your assignment.