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Published byVivien Harrell Modified over 8 years ago

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Flashback 8-20-12 Convert interval notation to inequality notation. 1.[-2, 3]2. (-∞, 0) Convert inequality notation to interval notation. 3.-4 ≤ x ≤ 44. 2< x < 5 5. Give the interval and inequality notations for the following graph: -35

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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?

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A: Very large hands.

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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 b 0 = 12 0 = 1 b 1 = b2 1 = 2 b m ∙b n = b m+n 2 5 2 6 = 2 30 b m /b n = b m-n 2 5 /2 2 = 2 3 (b m ) n = b mn (2 2 ) 3 = 2 6 (b/c) m = b m /c m ( 2/3 ) 3 = 2 3 /3 3 (bc) m = b m c m (3*4) 2 = 3 2 *4 2

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You try Simplify (x 3 )(x 4 ) Simplify (x 2 ) 4 Simplify [(3x 4 y 7 z 12 ) 5 (–5x 9 y 3 z 4 ) 2 ] 0

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

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

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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.

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Examples 2.375 x 10 8 = 237,500,000 5.63 x 10 -15 = 0.000 000 000 000 005 63

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So what? (370,000)(4,500,000,000)/18,000 = ( 3.7 x 10 5 )(4.5 x 10 9 )/(1.8 x 10 4 ) = (3.7 x 4.5 / 1.8)(10 5+9-4 )= (3.7 x 4.5 / 1.8)(10 10 )= 9.25 x 10 10

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Exit Slip 1.Simplify X 3 y 2 X 2 y 4 2. Simplify (2,400)(130) 18,000 3. Simplify 3.2 x 10 7 1.6 x 10 5

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