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Measurement, Units, and Scientific Notation

Manual: General · Subject: Applied Physics

Learn how physicists measure quantities accurately using units, prefixes, and scientific notation.

Measuring the physical world

Why measurement matters

Physics becomes useful when we can measure things consistently. A number without a unit is incomplete, so physicists always write quantities with units such as meters (m)(m), seconds (s)(s), and kilograms (kg)(kg).

The SI system

The International System of Units, or SI, is the standard system used in physics. The most common base units are meter (m)(m) for length, kilogram (kg)(kg) for mass, second (s)(s) for time, ampere (A)(A) for electric current, kelvin (K)(K) for temperature, mole (mol)(mol) for amount of substance, and candela (cd)(cd) for luminous intensity.

Common prefixes

PrefixMeaning
kilo (k)(k)10310^3
centi (c)(c)10−210^{-2}
milli (m)(m)10−310^{-3}
micro (μ)(\mu)10−610^{-6}
nano (n)(n)10−910^{-9}