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Published byMarian Haynes Modified over 8 years ago

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Bell Quiz

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Objectives Review how to write large and small numbers in scientific notation. Multiply and divide numbers written in scientific notation by applying the rules of exponents.

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Scientific Notation Very large or very small numbers are often written in scientific notation. Scientific notation is a method of writing a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.

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Example 1 Writing Numbers in Scientific Notation Write the number in scientific notation. 856,000

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Lesson Practice Write the number in scientific notation. 1,234,000

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Example 2 Writing Numbers in Scientific Notation Write the number in scientific notation. 0.0005

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Lesson Practice Write the number in scientific notation. 0.0306

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Scientific Notation To multiply numbers in scientific notation: – Multiply the coefficients. – Then add the powers. – If the result is not in scientific notation, adjust it so that it is.

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Example 3 Multiplying Numbers in Scientific Notation Find the product. Write the answer in scientific notation. (5.82 x 10 3 ) (6.13 x 10 11 )

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Lesson Practice Find the product. Write the answer in scientific notation. (5.7 x 10 5 ) (1.8 x 10 3 )

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Scientific Notation To divide numbers in scientific notation: – Divide the coefficients. – Then subtract the powers. – If the result is not in scientific notation, adjust it so that it is.

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Example 4 Dividing Numbers in Scientific Notation Find the quotient. Write the answer in scientific notation. 1.2 x 10 3 9.6 x 10 6

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Lesson Practice Find the quotient. Write the answer in scientific notation. 7.29 x 10 – 2 8.1 x 10 – 6

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Example 5 Comparing Expressions with Scientific Notation Find the quotient. Write the answer in scientific notation. 7.2 x 10 6 1.05 x 10 7 3.6 x 10 4 3.5 x 10 5 ○

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Lesson Practice Find the quotient. Write the answer in scientific notation. 4.56 x 10 9 5.2 x 10 8 3 x 10 5 1.3 x 10 5 ○

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Example 6 Application: Speed of Light The speed of light is 3 x 10 8 meters per second. If the Earth is 1.47 x 10 11 meters from the sun, how many seconds does it take light to reach Earth from the sun? Write the answer in scientific notation.

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Lesson Practice The speed of light is 3 x 10 8 meters per second. If the Mars is 2.25 x 10 11 meters from the sun, how many seconds does it take light to reach Mars from the sun? Write the answer in scientific notation.

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