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**Section 8.2 Scientific Notation**

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**is written in the form: a x 10n Where n is an integer a is between**

Scientific Notation is written in the form: a x 10n Where n is an integer a is between <10

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**Is each number written in scientific notation? If not, explain.**

Lesson 8-2 Additional Examples Is each number written in scientific notation? If not, explain. a 104 No; is less than 1. b 10–2 yes c 106 No; is greater than 10.

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**Write each number in scientific notation.**

Lesson 8-2 Additional Examples Write each number in scientific notation. a. 234,000,000 Move the decimal point 8 places to the left and use 8 as an exponent. 234,000,000 = Drop the zeros after the 4. 2.34 108 b Move the decimal point 5 places to the right and use –5 as an exponent. = 6.3 10–5 Drop the zeros before the 6.

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**Write each number in standard notation.**

Scientific Notation Lesson 8-2 Additional Examples Write each number in standard notation. a. elephant’s mass: 8.8 104 kg 8.8 104 = A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right. = 88,000 b. ant’s mass: 7.3 10–5 kg 7.3 10–5 = A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left. =

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**Write each number in scientific notation. **

Lesson 8-2 Additional Examples Order 105, 6.03 104, 6103, and 63.1 103 from least to greatest. Write each number in scientific notation. 103 6.3 104 Order the powers of 10. Arrange the decimals with the same power of 10 in order. 6.3 104 Write the original numbers in order. 103

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**Simplify. Write each answer using scientific notation.**

Lesson 8-2 Additional Examples Simplify. Write each answer using scientific notation. (6 • 8) 10–4 = a. 6(8 10–4) = 48 10–4 Simplify inside the parentheses. = 4.8 10–3 Write the product in scientific notation. (0.3 • 1.3) 103 = b. 0.3(1.3 103) = 0.39 103 Simplify inside the parentheses. = 3.9 102 Write the product in scientific notation.

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Homework Pg 2-32evens 44

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