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Metric Units
S.I. Base Units
The International System of Units (S.I.) defines seven base units for
the seven base quantities:
| Quantity |
Name |
Symbol |
| length | meter (or metre) | m |
| mass | kilogram | kg |
| time | second | s |
| electric current | ampere | A |
| thermodynamic temperature | kelvin | K |
| luminous intensity | candela | cd |
| amount of substance | mole | mol |
S.I. Derived Units
Derived units are defined in terms of the seven base units.
eg.
S.I. Derived Units with Special Names
| Quantity |
Name |
Symbol |
Derivation |
| force | newton | N | kg m s-2 |
pressure, stress | pascal | Pa | N m-2 |
work, energy, quantity of heat | joule | J | N m |
| power | watt | W | J s-1 |
| electric charge | coulomb | C | A s |
| potential difference | volt | V | W A-1 |
| electromotive force | volt | V | J C-1 |
| capacitance | farad | F | C V-1 |
| resistance | ohm |  | V A-1 |
| conductance | siemens | S | -1 |
| magnetic flux | weber | Wb | V s |
magnetic flux density, magnetic induction | tesla | T | Wb m-2 |
| inductance | henry | H | V s A-1 |
| luminous flux | lumen | lm | cd sr |
| illumination | lux | lx | lm m-2 |
| frequency | hertz | Hz | s-1 |
S.I. Supplementary Units
| Quantity |
Name |
Symbol |
Derivation |
| area | hectare | ha | 104 m2 |
| volume | liter (or litre) | l | 10-3 m3 |
| plane angle | radian | rad | |
| solid angle | steradian | sr | |
S.I. Prefixes for Multiples and Submultiples
The International System of Units (S.I.) defines 20 prefixes used to
form decimal multipliers for the S.I. units:
| Prefix | Symbol | Meaning |
| | | Prefix | Symbol | Meaning |
| yotta | Y | 1024 | | | |
milli | m | 10-3 |
| zetta | Z | 1021 | | | |
micro | µ | 10-6 |
| exa | E | 1018 | | | |
nano | n | 10-9 |
| peta | P | 1015 | | | |
pico | p | 10-12 |
| tera | T | 1012 | | | |
femto | f | 10-15 |
| giga | G | 109 | | | |
atto | a | 10-18 |
| mega | M | 106 | | | |
zepto | z | 10-21 |
| kilo | k | 103 | | | |
yocto | y | 10-24 |
| | | | | | |
| | |
| hecto | h | 102 | | | |
deci | d | 10-1 |
| deca | da | 10 | | | |
centi | c | 10-2 |
eg.
cm = 10-2 m = 0.01 m
km = 103 m = 1000 m
Note:
The kilogram is the only S.I. base unit that already includes a prefix.
Therefore 1 gram (g) = 0.001 kilogram (kg).
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