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Scientific Notation
    Easy way to write


very, very large
   numbers
Why Use Scientific Notation?

            The Andromeda Galaxy
            (closest to the Milky way)
            contains at least
            200,000,000,000 stars.
Scientific Notation…..
►a # written with two factors
► one factor is
      less than 10 AND 1 or greater

► the other factor is a power of 10
      (a positive or negative power)

Example:    2300 =        2.3 x 103


Hint: When multiplying by powers of ten
move the decimal either right or left
Why Use Scientific Notation?

            The Andromeda Galaxy
            (closest to the Milky way)
            contains at least
            200,000,000,000 stars.
             2 x 10 11
Standard form to Scientific Notation
 80,600 = 8.06 x 104



A) 15,010 =    1.501x10     4


B) 30,660,000,000 =3.066 x10
                                        10
How do you change the
    number back from
 scientific notation into
     standard form?
You just do the opposite!
The exponent tells you which
 direction to move your decimal
 to get it back where it was.
Ex. 4.5 x 10 =
              5
                    450,000
Scientific Notation to Standard form:
• 2.65 x 104 =            • 8.7 x 10-4 =
    26,500                     0.00087

 • 5.245 x 103 =          d) 1.2 x 10-2 =

     5,245                      0.012




 e) 4.34 x 10    -5 =   f) 3.22 x 1015 =
     0.0000434            3,220,000,000,000,000

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Scientific Notation with Positve Exponents

  • 1. Scientific Notation Easy way to write very, very large numbers
  • 2. Why Use Scientific Notation? The Andromeda Galaxy (closest to the Milky way) contains at least 200,000,000,000 stars.
  • 3. Scientific Notation….. ►a # written with two factors ► one factor is less than 10 AND 1 or greater ► the other factor is a power of 10 (a positive or negative power) Example: 2300 = 2.3 x 103 Hint: When multiplying by powers of ten move the decimal either right or left
  • 4. Why Use Scientific Notation? The Andromeda Galaxy (closest to the Milky way) contains at least 200,000,000,000 stars. 2 x 10 11
  • 5. Standard form to Scientific Notation 80,600 = 8.06 x 104 A) 15,010 = 1.501x10 4 B) 30,660,000,000 =3.066 x10 10
  • 6. How do you change the number back from scientific notation into standard form? You just do the opposite! The exponent tells you which direction to move your decimal to get it back where it was. Ex. 4.5 x 10 = 5 450,000
  • 7. Scientific Notation to Standard form: • 2.65 x 104 = • 8.7 x 10-4 = 26,500 0.00087 • 5.245 x 103 = d) 1.2 x 10-2 = 5,245 0.012 e) 4.34 x 10 -5 = f) 3.22 x 1015 = 0.0000434 3,220,000,000,000,000