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8.1: Zero and Negative Exponents 8.2: Scientific Notation To simplify expressions with zero and negative exponents to write numbers in scientific and standard notation

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PROPERTY #1 Zero as an Exponent: For every nonzero number a, a 0 = 1 Try: 5 0 = (-2) 0 = (1/3) 0 =

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PROPERTY #2 Negative Exponent: For every nonzero number a and integer n, a -n = 1/a n Try: 6 -2 = (-3) -4 -3 -3

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Simplifying an Exponential Expression Simplify: 4yx -3 1/w -4 11m -5 7s -4 t 2 2/a -3 n -5 /v 2

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Evaluating an Exponential Expression Evaluate 3m 2 t -2 for m=2 and t=-3 TRY: n -3 w 0 n -1 /w 2 w 0 /n 4 1/nw -2

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Scientific Notation Standard Notation: How you write your numbers every day - 324,543.67 15 984 Scientific Notation: written as the product of two factors in the form a x 10n where n is an integer and 1≤a<10.

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Written in Scientific Notation? 3.42 x 10 -7 52 x 10 4 .o4 x 10 -5

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Writing a Number in Scientific Notation Write each number in scientific notation: 56,900,000: Move the decimal point to the left until there is one number in front of the decimal point. Count the number of places you moved. = 5.69x10 7 .00985: Move the decimal point to the right until there is one number in front of the decimal point. Count the number of places you moved. Move left = positive exponent; Move right = negative exponent

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Write in standard notation 3.2x10 12 5.07x10 4 5.6x10 -4 8.3x10 -2

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Homework: P433 # 1-44, p437#1-22

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