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Scientific Notation
Easy way to write
very, very large
numbers
The Andromeda Galaxy
(closest to the Milky way)
contains at least
200,000,000,000 stars.
Why Use Scientific Notation?
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: 2.3 x 103
2300 =
Hint: When multiplying by powers of ten
move the decimal either right or left
The Andromeda Galaxy
(closest to the Milky way)
contains at least
200,000,000,000 stars.
Why Use Scientific Notation?
2 x 1011
A) 15,010 =
B) 30,660,000,000 =
Standard form to Scientific Notation
80,600 = 8.06 x 104
4
10x501.1
10
10066.3 x
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
a) 2.65 x 104 =
26,500
b) 8.7 x 10-4 =
0.00087
c) 5.245 x 103 =
5,245
d) 1.2 x 10-2 =
0.012
e) 4.34 x 10-5 =
0.0000434
f) 3.22 x 1015 =
3,220,000,000,000,000
Scientific Notation to Standard form:

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Scientific notation explaination positve

  • 1. Scientific Notation Easy way to write very, very large numbers
  • 2. The Andromeda Galaxy (closest to the Milky way) contains at least 200,000,000,000 stars. Why Use Scientific Notation?
  • 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: 2.3 x 103 2300 = Hint: When multiplying by powers of ten move the decimal either right or left
  • 4. The Andromeda Galaxy (closest to the Milky way) contains at least 200,000,000,000 stars. Why Use Scientific Notation? 2 x 1011
  • 5. A) 15,010 = B) 30,660,000,000 = Standard form to Scientific Notation 80,600 = 8.06 x 104 4 10x501.1 10 10066.3 x
  • 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. a) 2.65 x 104 = 26,500 b) 8.7 x 10-4 = 0.00087 c) 5.245 x 103 = 5,245 d) 1.2 x 10-2 = 0.012 e) 4.34 x 10-5 = 0.0000434 f) 3.22 x 1015 = 3,220,000,000,000,000 Scientific Notation to Standard form: