Writing large or very small numbers in scientific notation helps prevent simple mistakes.
For example, in physics or chemistry, the number of basic particles in one mole of a substance is Avogadro's number, which is 602214129000000000000000 or 6.02214129*1023 in scientific notation. In the expanded form it would be quite easy to miscount the number of zeros.
Chat with our AI personalities
Scientific notation gives you a compact, i.e., short, way of writing very large, or very small, numbers.
It makes very big or very small numbers more manageable.
200,000 in Scientific Notation = 2 x 105
Scientific notation lets us express a large or a small number without having to write a lot of zeros before or after it. Try writing out 3 x 10^9000 without scientific notation.
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