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Published byOswin Gray Modified over 6 years ago

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

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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.

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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

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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.

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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

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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.

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

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

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