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WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 3

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WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 2

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WARM UP WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 1

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WRITE THE NUMBER IN DECIMAL FORM 1.5 x 10 9 2.7 x 10 -6 WRITE IN SCIENTIFIC NOTATION 1.99,000 2.0.0004 WARM UP 0

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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 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 EXAMPLE 3 Operations with Scientific Notation Perform the indicated operation. Write the result in Scientific Notation. a.(1.4 x 10 4 )(7.6 x 10 3 ) = (1.4 · 7.6) x (10 4 · 10 3 ) =10.64 x 10 7 = (1.064 x 10 1 ) x 10 7 = 1.064 x 10 8 Use the properties of Multiplication Use product of powers property Write in scientific notation Use product of powers property

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8.5 Scientific Notation Checkpoint Perform the indicated operation. Write the result in scientific notation. (2.3 x 10 3 )(1.8 x 10 -5 )

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8.5 Scientific Notation Write as a product Use quotient of powers property Write in scientific notation Use product of powers property

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8.5 Scientific Notation

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EXAMPLE 3 Operations with Scientific Notation Perform the indicated operation. Write the result in Scientific Notation. c.(4 x 10 -2 ) 3 = 4 3 x (10 -2 ) 3 = 64 x 10 -6 =(6.4 x 10 1 ) x 10 -6 =6.4 x 10 -5 Use power of a product property Use power of a power property Write in scientific notation Use product of powers property

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8.5 Scientific Notation Checkpoint Perform the indicated operation. Write the result in scientific notation. (5 x 10 -4 ) 2

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