# 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.

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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

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

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

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

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

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.

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

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

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

Homework:  P433 # 1-44, p437#1-22

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