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Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
Scientific Notation2
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Scientific Notation2

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  • 1. Part 2 Multiplication and Division Scientific Notation
  • 2. <ul><li>gives us a way of writing very large and very small numbers and it allows us to easily do multiplication and division of these numbers. </li></ul>Scientific Notation
  • 3. 6,000,000,000 * 2,000,000 = ? Step 1: Convert to Scientific Notation 2,000,000 = 2 * 10 6 6,000,000,000 = 6 * 10 9
  • 4. 6,000,000,000 * 2,000,000 = ? Step 2: Multiply the decimal numbers 2.0 * 10 6 6.0 * 10 9 * 6.0 * 2.0 = 12.0
  • 5. 6,000,000,000 * 2,000,000 = ? Step 3: Add the exponents. 6 * 10 6 6 * 10 9 * 9 + 2 = 15
  • 6. 6,000,000,000 * 2,000,000 = ? Step 4: Combine the results 12.0 * 10 15
  • 7. 6,000,000,000 * 2,000,000 = ? Step 5: Simplify by moving the decimal and increasing the exponent 12.0 * 10 15
  • 8. 6,000,000,000 * 2,000,000 = ? The answer: 1.20 * 10 16
  • 9. 6,000,000,000 / 2,000,000 = ? Step 1: Convert to Scientific Notation 2,000,000 = 2 * 10 6 6,000,000,000 = 6 * 10 9
  • 10. 6,000,000,000 / 2,000,000 = ? Step 2: Divide the decimal numbers 2.0 * 10 6 6.0 * 10 9 / 6.0 / 2.0 = 3.0
  • 11. 6,000,000,000 / 2,000,000 = ? Step 3: Subtract the exponents. 6 * 10 6 6 * 10 9 * 9 - 2 = 3
  • 12. 6,000,000,000 / 2,000,000 = ? Step 4: Combine the results 3.0 * 10 3
  • 13. 6,000,000,000 / 2,000,000 = ? Step 5: Simplify by moving the decimal and decreasing the exponent 3.0 * 10 3
  • 14. 6,000,000,000 / 2,000,000 = ? The answer: 3.0 * 10 3
  • 15. Some more examples <ul><li>1. 5,000 * 12,000 = </li></ul><ul><li>5 * 10 3 * 1.2 * 10 4 = </li></ul><ul><li>(12*5) * 10 (3+4) = </li></ul><ul><li>60 * 10 (7) = </li></ul><ul><li>6 * 10 8 </li></ul>
  • 16. Some more examples <ul><li>2. 6,600 / 20,000 = </li></ul><ul><li>6.6 * 10 3 / 2.0 * 10 4 = </li></ul><ul><li>(6.6/2) * 10 (3-4) = </li></ul><ul><li>3.3 * 10 -1 </li></ul>
  • 17. Your turn: <ul><li>7,000 * 500,000 = </li></ul><ul><li>6,400,000 * 2,000,000,000 = </li></ul><ul><li>400,000,000 * 6,000,000,000 = </li></ul><ul><li>900,000,000 / 3,000,000 = </li></ul><ul><li>6,000,000,000 / 2,000,000 = </li></ul><ul><li>5,000,000,000,000 / 10,000 = </li></ul>

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