The uses of scientific notation in chemistry are to compute very large or very small numbers.
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It is not. "Scientific notation" uses a base of 10. The correct notation would be 1.251 x 10^8
They don't usually.
Scientific notation gives a compact notation, which is especially useful for writing down - and doing calculations with - very large, and very small, numbers.
The practical uses of scientific notation are to compute very large or very small numbers.
Because sometimes numbers get very big or very small.