Scientific notation is useful for writing moderately large and small numbers. But, even that will not cope with the seriously big numbers.
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It provides a short and compact notation for writing very large or very small numbers.
Scientific notation is a compact way of writing very large and very small numbers.
Scientific notation gives you a compact, i.e., short, way of writing very large, or very small, numbers.
An advantage of using the scientific notation is that scientists have to use large and small numbers and this helps them by showing the number in a smaller way.
It is a way of representing numbers which is particularly useful for very small or very large numbers.