Flashback 8-20-12

1. Flashback 8-20-12 Convert interval notation to inequality notation. • [-2, 3] 2. (-∞, 0) Convert inequality notation to interval notation. • -4 ≤ x ≤ 4 4. 2< x < 5 5. Give the interval and inequality notations for the following graph: -3 5

2. Joke of the day If you had 4 apples and 5 oranges in one hand and 6 apples and 7 oranges in the other, what would you have?

3. A: Very large hands.

4. Rules of Exponents • Exponent is 0 • Exponent is 1 • Product of same base • Quotient of same base • Power to a power • Quotient to a power • Product to a power • b0= 1 20 = 1 • b1= b 21 = 2 • bm∙bn = bm+n2526 = 230 • bm/bn= bm-n 25/22 = 23 • (bm)n = bmn(22)3 = 26 • (b/c)m= bm/cm ( 2/3 )3 = 23/33 • (bc)m = bmcm(3*4)2 = 32*42

5. You try • Simplify (x3)(x4) • Simplify (x2)4 • Simplify [(3x4y7z12)5 (–5x9y3z4)2]0

6. Scientific Notation • Gives us a way of working with very large or very small numbers. • Only for positive numbers • Form: c x 10mwhere 1≤ c ≤ 9 and m is an integer

7. Examples • 93,000,000 = 9.3 x 107 • 0.000 000 000 000 000 000 000 053 = 5.3 x 10-23

8. Converting to decimal form • When the exponent on the 10 is positive, we have to move the decimal point to the right to get the decimal form. • When the exponent on the 10 is negative, we have to move the decimal point to the left to get the decimal form.

9. Examples • 2.375 x 108 = 237,500,000 • 5.63 x 10-15 = 0.000 000 000 000 005 63

10. So what? • (370,000)(4,500,000,000)/18,000 = ( 3.7 x 105)(4.5 x 109)/(1.8 x 104) = (3.7 x 4.5 / 1.8)(105+9-4)= (3.7 x 4.5 / 1.8)(1010)= 9.25 x 1010

11. Exit Slip • Simplify X3y2 X2y4 2. Simplify (2,400)(130) 18,000 3. Simplify 3.2 x 107 1.6 x 105