1 / 10

Scientific Notation

Scientific Notation. ALGEBRA 1 LESSON 8-2. (For help, go to Lesson 8-1.). Simplify each expression. 1. 6 • 10 4 2. 7 • 10 –2 3. 8.2 • 10 5 4. 3 • 10 –3 5. 3.4 • 10 1 6. 5.24 • 10 2 7. Simplify 3  10 2 + 6  10 1 + 7  10 0 + 8  10 –1. 8-2. Scientific Notation.

Télécharger la présentation

Scientific Notation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Scientific Notation ALGEBRA 1 LESSON 8-2 (For help, go to Lesson 8-1.) Simplify each expression. 1. 6 • 1042. 7 • 10–23. 8.2 • 105 4. 3 • 10–35. 3.4 • 1016. 5.24 • 102 7. Simplify 3  102 + 6  101 + 7  100 + 8  10–1. 8-2

  2. Scientific Notation ALGEBRA 1 LESSON 8-2 Solutions 1. 6 • 104 = 6 • 10,000 = 60,000 2. 7 • 10–2 = 7 • 0.01 = 0.07 3. 8.2 • 105 = 8.2 • 100,000 = 820,000 4. 3 • 10–3 = 3 • 0.001 = 0.003 5. 3.4 • 101 = 3.4 • 10 = 34 6. 5.24 • 102 = 5.24 • 100 = 524 7. 3  102 + 6  101 + 7  100 + 8  10–1 = (3  102) + (6  101) + (7  100) + (8  10–1) = (3  100) + (6  10) + (7  1) + (8  0.1) = 300 + 60 + 7 + 0.8 = 367.8 8-2

  3. Scientific Notation ALGEBRA 1 LESSON 8-2 Is each number written in scientific notation? If not, explain. a. 0.46  104 No; 0.46 is less than 1. b. 3.25  10–2 yes c. 13.2  106 No; 13.2 is greater than 10. 8-2

  4. Move the decimal point 8 places to the left and use 8 as an exponent. 2.34  108 234,000,000 = Drop the zeros after the 4. Move the decimal point 5 places to the right and use –5 as an exponent. 6.3  10–5 0.000063 = Drop the zeros before the 6. Scientific Notation ALGEBRA 1 LESSON 8-2 Write each number in scientific notation. a. 234,000,000 b. 0.000063 8-2

  5. A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right. 8.8  104 = 8.8000. A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left. 7.3  10–5 = 0.00007.3 Scientific Notation ALGEBRA 1 LESSON 8-2 Write each number in standard notation. a. elephant’s mass: 8.8  104 kg = 88,000 b. ant’s mass: 7.3  10–5 kg   = 0.000073 8-2

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

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

  8. Write each number in scientific notation. 0.0063 105 6.03  104 6103 63.1  103 6.3  102 6.03  104 6.103  103 6.31  104 Scientific Notation ALGEBRA 1 LESSON 8-2 Order 0.0063  105, 6.03  104, 6103, and 63.1  103 from least to greatest. Order the powers of 10. Arrange the decimals with the same power of 10 in order. 6.3  102 6.103  103 6.03  104 6.31  104 Write the original numbers in order. 0.0063  105 6103 6.03  104 63.1  103 8-2

  9. Use the Associative Property of Multiplication. (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 = = 0.39 103 Simplify inside the parentheses. = 3.9  102 Write the product in scientific notation. Scientific Notation ALGEBRA 1 LESSON 8-2 Simplify. Write each answer using scientific notation. 6(8 10–4) a. 0.3(1.3 103) b. 8-2

  10. Scientific Notation ALGEBRA 1 LESSON 8-2 1. Write each number in scientific notation. a.  0.00627 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 0.0000023 0.98  10–1, 2.4  10–1, 11  100, 1.6  103 4.27  10–1 8-2

More Related