Scientific Notation
Mrs. Wolverton
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Definition and Example
  Scientists developed Scientific Notation as a method
to write very large and very small numbers.
  The speed of light is 300,000,000 meters per second.
  This number is scientific notation looks like this:
3x10
8
Specifics
3x10
8
  The first number (3) is called the coefficient. This
number must be greater than or equal to one AND less
than 10. (in short – it must be a non-zero one digit
number)
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  The second (10) is the base number which is always
ten.
  The lastly you have (8) the power of ten.
To Write Numbers in Scientific
Notation
  First put the decimal behind the first digit
  So 300,000,000’s coefficient would be 3.0
  Then count how many places the decimal had to move
  This number becomes the exponent
3x10
8
Example from Standard to SN
  123,000,000,000
  1.23 x 1011
  540,000
  5.4 x 105
You Try!
Write the following number in Scientific Notation
  78,000,000
  7.8 x 107
To Write Numbers from Scientific
Notation to Standard Form
  Beginning with a number 4.3x107
  The exponent tells how many times to move the
decimal back.
  Here you must move the decimal back 7 spaces to
the right.
  So 4.3x107 = 43,000,000
Example of SN to Standard
  5.67 x 109
  5,670,000,000
  9.1 x 105
  910,000
You Try!
Write the following number in Standard Notation
  8.35 x 108
 835,000,000
Test Yourself
Take these from
Standard to SN
Take these from
SN to Standard
1.
68,000,000,000
1.
7 x 106
2.
3,000
2.
1.3 x 104
3.
750,000
3.
9.87 x 107
6.8 x 1010
2.  3 x 103
3.  7.5 x 105
1.
7,000,000
2.  13,000
3.  98,700,000
1.
nd
2
Try!
Write the following number in Scientific Notation
  910,000
  9.1 x 105
nd
2
Try
Write the following number in Standard Form
  5.7 x 108
  570,000,000