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Scientific Notation

Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.

6,389 Questions

How would you write 300000000 ms using scientific notation?

300000000 m/s = 3 × 10^8 m/s

c ≈ 2.99792458 m/s = 2.99792458 × 10^8 m/s which is usually rounded to 3 × 10^8 m/s

What is Scientific Notation be used for?

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

What is eleven billion in scientific notation?

1.1E9

or

1.1 x 109

the first way is the engeneric way to write it the second way is normal