Scientific Notation2

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Scientific Notation2

  1. 1. Part 2 Multiplication and Division Scientific Notation
  2. 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. 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. 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. 5. 6,000,000,000 * 2,000,000 = ? Step 3: Add the exponents. 6 * 10 6 6 * 10 9 * 9 + 2 = 15
  6. 6. 6,000,000,000 * 2,000,000 = ? Step 4: Combine the results 12.0 * 10 15
  7. 7. 6,000,000,000 * 2,000,000 = ? Step 5: Simplify by moving the decimal and increasing the exponent 12.0 * 10 15
  8. 8. 6,000,000,000 * 2,000,000 = ? The answer: 1.20 * 10 16
  9. 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. 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. 11. 6,000,000,000 / 2,000,000 = ? Step 3: Subtract the exponents. 6 * 10 6 6 * 10 9 * 9 - 2 = 3
  12. 12. 6,000,000,000 / 2,000,000 = ? Step 4: Combine the results 3.0 * 10 3
  13. 13. 6,000,000,000 / 2,000,000 = ? Step 5: Simplify by moving the decimal and decreasing the exponent 3.0 * 10 3
  14. 14. 6,000,000,000 / 2,000,000 = ? The answer: 3.0 * 10 3
  15. 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. 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. 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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