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4.8 Scientific Notation
Writing Numbers ,[object Object],[object Object],[object Object]
Writing in Scientific Notation ,[object Object],[object Object]
Look for patterns and complete the chart. 1 10 10 10 1 100 1000 10,000 100,000 10x10x10x10x10 10 5
What seems to be the relationship between the exponent and the number written in factored form? 1 1 10 0 10 10 10 1 100 10 x 10  10 2 1000 10 x 10 x10 10 3 10,000 10x10x10x10 10 4 100,000 10x10x10x10x10 10 5
What seems to be the relationship between the exponent and the number written in decimal form? 1 1 10 0 10 10 10 1 100 10 x 10  10 2 1000 10 x 10 x10 10 3 10,000 10x10x10x10 10 4 100,000 10x10x10x10x10 10 5
Scientific Notation Video ,[object Object]
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Moving Places ,[object Object],[object Object],[object Object],[object Object]
EXAMPLE 1 Writing Numbers in Scientific Notation SOLUTION Exponent is  11 . Move decimal point  11  places to the left. Stars There are over  300,000,000,000  stars in the Andromeda Galaxy. Write the number of stars in scientific notation. Standard form 300,000,000,000 Scientific notation 3  10 11 ANSWER The number in scientific notation is  3 x 10 11 .
Try these ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Try these ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1. 3.2 x 10 8   2. 4.59 x 10 4   3. 2 x 10 10 4. 3.8 x 10 7   5. 9.22 x 10 6
Try these ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Try these ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1. 890,000  2. 50,000 3. 834,500,000 4. 29  5. 5
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Calculator notation ,[object Object],[object Object],[object Object]
Homework ,[object Object]

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4.8 scientific notation big numbers - 1

  • 1.
  • 2.
  • 4.
  • 5.
  • 6. Look for patterns and complete the chart. 1 10 10 10 1 100 1000 10,000 100,000 10x10x10x10x10 10 5
  • 7. What seems to be the relationship between the exponent and the number written in factored form? 1 1 10 0 10 10 10 1 100 10 x 10 10 2 1000 10 x 10 x10 10 3 10,000 10x10x10x10 10 4 100,000 10x10x10x10x10 10 5
  • 8. What seems to be the relationship between the exponent and the number written in decimal form? 1 1 10 0 10 10 10 1 100 10 x 10 10 2 1000 10 x 10 x10 10 3 10,000 10x10x10x10 10 4 100,000 10x10x10x10x10 10 5
  • 9.
  • 10.
  • 11.
  • 12. EXAMPLE 1 Writing Numbers in Scientific Notation SOLUTION Exponent is 11 . Move decimal point 11 places to the left. Stars There are over 300,000,000,000 stars in the Andromeda Galaxy. Write the number of stars in scientific notation. Standard form 300,000,000,000 Scientific notation 3 10 11 ANSWER The number in scientific notation is 3 x 10 11 .
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.