Scientific notation makes very large numbers and very small numbers easier to handle.
Some examples:
Distance to the nearest star: 5,878,700,000,000 miles, or 5.8787 x 1012 miles.
Speed of light: 300,000,000 meters per second, or 3 x 108 meters per second
Mass of the earth: 5,970,000,000,000,000,000,000,000 kilograms, or 5.97 x 1024 kilograms
Mass of an electron: .0000000000000000000000000000009109 kilogram or 9.109 x 10-31 kilogram
Charge on a proton: 0.0000000000000000001602 Coulomb or 1.602 x 10-19 Coulomb
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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.