Scientific Notation. Ch. 3. Scientific Notation. We use scientific notation because we deal with very large and very small numbers. Scientific notation is written as a product of 2 numbers. The first is a coefficient, and the second is 10 raised to a power called an exponent.
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Coefficient is always a number greater than 1 and less than 10.
The exponent equals the number of places the original decimal point has been moved to write in scientific notation.
Ex. 1 36,000 is written as 3.6 X 104
Ex. 20.0081 is written as 8.1 X 10-3
Ex. (3.0 X 104) x (2.0 X 102)
(3.0 x 2.0) X 10 4+2
6.0 X 106
(3.0 / 2.0) X 10 4-2
1.5 X 102
Ex. (5.40 X 103) + (6.0 X 102)
First, make the exponent the same
(5.40 X 103) + (.60 X 103)
Now just add or subtract the coefficients
(5.4 + .60) X 103 = 6.0 X 103