Scientific Notation2
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Scientific Notation2 Presentation Transcript

  • 1. Part 2 Multiplication and Division Scientific Notation
  • 2.
    • 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.
    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
    • 1. 5,000 * 12,000 =
    • 5 * 10 3 * 1.2 * 10 4 =
    • (12*5) * 10 (3+4) =
    • 60 * 10 (7) =
    • 6 * 10 8
  • 16. Some more examples
    • 2. 6,600 / 20,000 =
    • 6.6 * 10 3 / 2.0 * 10 4 =
    • (6.6/2) * 10 (3-4) =
    • 3.3 * 10 -1
  • 17. Your turn:
    • 7,000 * 500,000 =
    • 6,400,000 * 2,000,000,000 =
    • 400,000,000 * 6,000,000,000 =
    • 900,000,000 / 3,000,000 =
    • 6,000,000,000 / 2,000,000 =
    • 5,000,000,000,000 / 10,000 =