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3-5. Scientific Notation. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 3-5. Scientific Notation. Course 1. Warm Up Multiply. 1. 724  10 2 2. 837  10 3. 632.9  100 4. 18,256  10 5. 10  10  10. 72,400. 8,370. 63,290. 182,560. 1,000. 3-5.

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3-5

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  1. 3-5 Scientific Notation Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 3-5 Scientific Notation Course 1 Warm Up Multiply. 1.724  102 2. 837  10 3. 632.9  100 4. 18,256  10 5. 10  10  10 72,400 8,370 63,290 182,560 1,000

  3. 3-5 Scientific Notation Course 1 Problem of the Day A rope ladder is hanging from the back of a yacht. At 10:00 A.M., the water reaches the third step on the ladder. If every 2 hours the water rises the height of two steps, at what step would the water level be at 5:00 P.M.? Explain. the third, because the boat will rise with the water

  4. 3-5 Scientific Notation Course 1 Learn to write large numbers in scientific notation.

  5. 3-5 Scientific Notation Course 1 Insert Lesson Title Here Vocabulary scientific notation

  6. 3-5 Scientific Notation Course 1 Scientific notation is a shorthand method for writing large numbers like 3,456,000.

  7. 3-5 Scientific Notation 3.456  106 Move the decimal point left to form a number that is greater than 1 and less than 10. Multiply that number by a power of ten. The power of 10 is 6, because the decimal point is moved 6 places left. Course 1 To write the number 3,456,000 in scientific notation, do the following: 3,456,000 3,456,000

  8. 3-5 Scientific Notation Remember! The number of zeros in the power of ten, or the exponents in the power of ten, tells you how many places to move the decimal point Course 1

  9. 3-5 Scientific Notation A number written in scientific notation has two parts that are multiplied. 3.456106 The first part is a number that is greater than 1 and less than 10. The second part is a power of 10. Course 1

  10. 3-5 Scientific Notation 6,000,000 = 6  106 411,000 = 4.11  105 Move the decimal point 6 places left. The power of 10 is 6. Move the decimal point 5 places left. The power of 10 is 5. Course 1 Additional Example 1A & 1B: Writing Numbers in Scientific Notation Write each number in scientific notation. A. 6,000,000 B. 411,000 6,000,000 411,000

  11. 3-5 Scientific Notation 79,000,000 = 7.9  107 Move the decimal point 7 places left. The power of 10 is 7. Course 1 Additional Example 1C: Writing Numbers in Scientific Notation Write the number in scientific notation. C. 79,000,000 79,000,000

  12. 3-5 Scientific Notation 8,000,000 = 8  106 587,000 = 5.87  105 Move the decimal point 6 places left. The power of 10 is 6. Move the decimal point 5 places left. The power of 10 is 5. Course 1 Try This: Example 1A & 1B Write each number in scientific notation. A. 8,000,000 B. 587,000 8,000,000 587,000

  13. 3-5 Scientific Notation 13,000,000 = 1.3  107 Move the decimal point 7 places left. The power of 10 is 7. Course 1 Try This: Example 1C Write the number in scientific notation. C. 13,000,000 13,000,000

  14. 3-5 Scientific Notation Course 1 You can write a large number written in scientific notation in standard form. Look at the power of 10 and move the decimal point that number of places to the right.

  15. 3-5 Scientific Notation 6.2174  103 = 6,217.4 The power of 10 is 3. The power of 10 is 8. Move the decimal point 3 places right. Move the decimal point 8 places right. Use zeros as placeholders. 9.5  108 = 950,000,000 Course 1 Additional Example 2A & 2B: Writing Numbers in Standard From Write each number in standard form. A. 6.2174  103 B. 9.5  108 6.2174 9.50000000

  16. 3-5 Scientific Notation 4.83  105 = 483,000 The power of 10 is 5. Move the decimal point 5 places right. Use zeros as placeholders. Course 1 Additional Example 2C: Writing Numbers in Standard From Write the number in standard form. C. 4.83  105 4.83000

  17. 3-5 Scientific Notation 8.1974  103 = 8,197.4 The power of 10 is 3. The power of 10 is 6. Move the decimal point 3 places right. Move the decimal point 6 places right. Use zeros as placeholders. 2.3  106 = 2,300,000 Course 1 Try This: Example 2A & 2B Write each number in standard form. A. 8.1974  103 B. 2.3  106 8.1974 2.300000

  18. 3-5 Scientific Notation 9.77  105 = 977,000 The power of 10 is 5. Move the decimal point 5 places right. Use zeros as placeholders. Course 1 Try This: Example 2C Write the number in standard form. C. 9.77  105 9.77000

  19. 3-5 Scientific Notation 6.3  103 7.04  107 3.295  106 Course 1 Insert Lesson Title Here Lesson Quiz Write each number in scientific notation. 1. 6,300 2. 70,400,000 Write each number in standard form. 3. 7.241  104 4. 8.2137  107 5. A Wall Street report indicated that a fast-moving stock had sold 3,295,000 shares. Write this number in scientific notation. 72,410 82,137,000

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