 # WARM UP 4. 3 2 1 0 8.5 Scientific Notation GOAL Read and write numbers in scientific notation. KEY WORDS Scientific Notation.

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8.5 Scientific Notation GOAL Read and write numbers in scientific notation. KEY WORDS Scientific Notation

8.5 Scientific Notation Numbers such as 100, 14.2 and 0.07 are written in decimal form. Scientific notation uses powers of ten to express decimal numbers. A number is written in scientific notation if it is of the form: c X 10 n Where 1 < c < 10 (c is greater than or equal to ONE but less than 10) and n is an integer.

8.5 Scientific Notation Here are three examples: 1.2 X 10 3 = 1.2 X 1000 = 1200 5.6 X 10 0 = 5.6 X 1 = 5.6 4.5 X 10 -1 = 4.5 X 0.1 = 0.45

8.5 Scientific Notation EXAMPLE 1 Write Numbers in Decimal Form SOLUTION a.2.83 X 10 1 b.4.9 X 10 5 c.8 X 10 -1 d.1.23 X 10 -3 a.= 28.3 Move the decimal 1 place to the right. b.= 49000 Move the decimal 5 places to the right. c. = 0.8 Move the decimal 1 place to the left. d. = 0.00123 Move the decimal 3 places to the left.

8.5 Scientific Notation Checkpoint Write the number in Decimal Form. 1.2.39 x 10 4 2.1.045 x 10 7 3.3.7 x 10 8 4.8.4 x 10 -6 5.1.0 x 10 -2 6.9.2 x 10 -8

8.5 Scientific Notation EXAMPLE 2 Write Numbers in Scientific Notation SOLUTION a.34,000 b.1.78 c.0.0007 a. = 3.4 X 10 4 Move the decimal 4 places to the left. b. = 1.78 X 10 0 Move the decimal 0 places. c. = 7.0 X 10 -4 Move the decimal 4 places to the right.

8.5 Scientific Notation Checkpoint Write the number in Scientific Notation. 1.423 2.2,000,000 3.0.0001 4.0.0098

8.5 Scientific Notation YOUR TURN Page 472 #s 2-13 and 17-46

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