Wherever numbers get very big or very small.
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When dealing with very small or very large numbers, and especially so when spurious degrees of precision are not required.
Scientific notation is used to compute very large or very small numbers.
Scientific notation used in forensics to compute very large or very small numbers.
Scientific notation is used in jobs to compute very large or very small numbers.
Scientific notation is often used to represent very large and very small numbers. Actually, you can also express a "normal-sized" number in scientific notation. So, whenever there is a number, you may use scientific notation.
Because less digits are needed in scientific notation to represent very large numbers.