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Mastering Scientific Notation for Numbers

Dive into expressing numbers in scientific notation with examples and practice problems. Learn to convert standard form to scientific notation effortlessly.

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Mastering Scientific Notation for Numbers

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  1. Transparency 9 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 9-5e Objective Express numbers in scientific notation

  4. Example 9-5e Vocabulary Scientific Notation A number written as a product of a factor and a power of 10 And the factor must be greater than or equal to 1 and less than 10 8.74 · 108

  5. Lesson 9 Contents Example 1Express Numbers in Standard Form Example 2Express Numbers in Standard Form Example 3Write Numbers in Scientific Notation Example 4Write Numbers in Scientific Notation

  6. Write in standard form. Example 9-1a Write the problem 9.62  105 Use the calculator 9.62 10 [yx] 5 = Put 9.62 in calculator Push the  sign 962,000 Put 10 in calculator Push the exponent key [yx] Answer: 962,000 Put the exponent 5 in calculator Push the = sign 1/4

  7. Write in standard form. Example 9-1b Answer: 53,200 1/4

  8. Write in standard form. Example 9-2a Write problem 2.85  10-6 Use Calculator Put 2.85 in calculator 2.85 10 [yx] 6 - = Push multiplication sign  Put 10 in calculator 0.00000285 Push the exponent key [yx] Answer: 0.00000285 Put the exponent 6 in calculator then +/- Push the = sign 2/4

  9. Write in standard form. Example 9-2b Answer: 0.000381 2/4

  10. Example 9-3a Write 931,500,000 in scientific notation. Write the problem Use calculator 931,500,000 Put number in calculator 931,500,000 [2nd] [sci] Push the 2nd key 9.315 08 Push the sci (it is the scientific key) or #5 9.315  108 Must write with power of 10 Write 9.315 Answer: 9.315  108 Write  10 Write exponent of 8 3/4

  11. Example 9-3b Write 35,600,000 in scientific notation. Answer: 3.56  107 3/4

  12. Example 9-4a Write 0.00443 in scientific notation. Write the problem 0.00443 Put number in calculator Push the 2nd key 0.00443 [2nd] [sci] Push the sci (it is the scientific key) or #5 4.43 -3 Must write with power of 10 4.43  10-3 Write 4.43 Write  10 Answer: 4.43  10-3 Write exponent of -3 4/4

  13. Example 9-4b * Write 0.000653 in scientific notation. Answer: 6.53  10-4 4/4

  14. End of Lesson 9 Assignment

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