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**Use Scientific Notation**

Section 8-4 Use Scientific Notation

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Scientific Notation ● A number is written in scientific notation when it is of the form c X 10n where 1 ≤ c < 10 and n is an integer. Number Standard Form Scientific Notation Two million ,000, X 106 Five Thousandths X 10-3

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Example 1 Write in scientific notation: a. 54, 900,000 = b = 5.49 x 107 4.78 x 10-5

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**Example 2 a. 1.875 X 109 = b. 5.76 X 10-4 = Write in standard form:**

= 5.76 =

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Example 3 Order numbers from least to greatest: 7.86 X 108 ; 306,000,000 ; 106,000 Write in standard from and compare numbers 786,000,000 ; 306,000,000 ; 106,000 3 2 1 Write in back in ORIGINAL FORM! 106,000 ; 306,000,000 ; 7.86 X 108;

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Example 4 Evaluate the expression. Write your answer in scientific notation: (8.5 X 102)(1.7 X 106) = 2. (1.5 X 10-3 )2 (8.5 * 1.7) X 102+6 X 108 X 109 = X 10-3•2 2.25 X 10-6

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Example 4 cont Evaluate the expression. Write your answer in scientific notation: X 104 = 1.6 X 10-3 (1.2 ÷ 1.6) X 104-(-3) X 107 X 106

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**Homework Section 8-4 Page 515 - 516 6 – 9, 13, 19, 24,**

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