Mathematicians, engineers, teachers, other people who deal with very large or very small numbers.
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When the value that you are representing in scientific notation is less than 1, or greater than or equal to 10.
Scientific notation and standard notations are the same in most of the wolrd.
When talking about the number of miles to other stars, it is best to use scientific notation. Example: 2.38 x 1014 looks better than 238000000000000.
For the same reason that numbers in ordinary notation need computing.
5x102 Scientific notation is when the unit times by ten and the power. The unit have to be more than 1 but less than 10.