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**Simplify each expression. 1. 6 • 104 2. 7 • 10–2 3. 8.2 • 105 **

Scientific Notation ALGEBRA 1 LESSON 8-2 Simplify each expression. 1. 6 • • 10– • 105 4. 3 • 10– • • 102 7. Simplify 3 10–1. 8-2

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**Scientific Notation Solutions 1. 6 • 104 = 6 • 10,000 = 60,000**

ALGEBRA 1 LESSON 8-2 Solutions 1. 6 • 104 = 6 • 10,000 = 60,000 2. 7 • 10–2 = 7 • 0.01 = 0.07 • 105 = 8.2 • 100,000 = 820,000 4. 3 • 10–3 = 3 • = 0.003 • 101 = 3.4 • 10 = 34 • 102 = 5.24 • 100 = 524 7. 3 10–1 = (3 102) + (6 101) + (7 100) + (8 10–1) = (3 100) + (6 10) + (7 1) + (8 0.1) = = 367.8 8-2

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

ALGEBRA 1 LESSON 8-2 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. 8-2

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**Write each number in scientific notation.**

ALGEBRA 1 LESSON 8-2 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. 8-2

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**Write each number in standard notation.**

Scientific Notation ALGEBRA 1 LESSON 8-2 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. = 8-2

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Scientific Notation ALGEBRA 1 LESSON 8-2 List the planets in order from least to greatest distance from the sun. Jupiter Earth Neptune Mercury 4.84 108 mi 9.3 107 mi 4.5 109 mi 3.8 107 mi Planet Distance from the Sun Order the powers of 10. Arrange the decimals with the same power of 10 in order. 8-2

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**Mercury Earth Jupiter Neptune**

Scientific Notation ALGEBRA 1 LESSON 8-2 (continued) Jupiter Earth Neptune Mercury 4.84 108 mi 9.3 107 mi 4.5 109 mi 3.8 107 mi Planet Distance from the Sun 3.8 109 Mercury Earth Jupiter Neptune From least to greatest distance from the sun, the order of the planets is Mercury, Earth, Jupiter, and Neptune. 8-2

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**Write each number in scientific notation. **

ALGEBRA 1 LESSON 8-2 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 8-2

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

ALGEBRA 1 LESSON 8-2 Simplify. Write each answer using scientific notation. Use the Associative Property of Multiplication. (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. Use the Associative Property of Multiplication. (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. 8-2

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**1. Write each number in scientific notation. a. 0.00627 b. 3,486,000**

ALGEBRA 1 LESSON 8-2 1. Write each number in scientific notation. a. b. 3,486,000 2. Write each number in standard form. a. 9.4 104 b. 2.3 10–6 3. Order the following numbers from least to greatest. 0.98 10–1, 1.6 103, 2.4 10–1, 11 100 4. Simplify. Write the answer in scientific notation. 7(6.1 10–2) 6.27 10–3 3.486 106 94,000 0.98 10–1, 2.4 10–1, 11 100, 1.6 103 4.27 10–1 8-2

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5.5 Negative Exponents and Scientific Notation. Negative Exponents Using the quotient rule, But what does x -2 mean?

5.5 Negative Exponents and Scientific Notation. Negative Exponents Using the quotient rule, But what does x -2 mean?

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