When numbers are tremendously large or small.
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You use scientific notation when it comes to "too large" or "too small" numbers. The reasons why using scientific notation is useful are that it saves time to do the computation and also that it makes people's life easier to compute values instead of writing them out completely!
Very very small numbers as for example 0.00000078 = 7.8*10^-7 in scientific notation
200,000 in Scientific Notation = 2 x 105
Using scientific notation reduces the need to write out very large or very small numbers as the following examples show:- 1,000,000,000,000 = 1.0*1012 in scientific notation 0.0000000001 = 1.0*10-10 in scientific notation
The point of using scientific notation is to compute very large or very small numbers.