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Definition of units in the metric system

Here we give definitions and some explanation of metric units. They are divided into what are know as the base units, derived units and those which are approved for use with SI but not part of the core system.

Metric prefixes

Here we explain the metric prefixes in two parts. First we concentrate on those in common use for everyday purposes and then give a comprehensive list for the whole range.

What is a metric prefix?

A metric prefix is a convenient way of expressing mulitiples and subdivisions (larger and smaller) of any defined unit. In metric that means multiplying or dividing by 10, 100, 1000 etc. It consists of a partial word like "kilo" , "centi" etc.

The prefix is placed before the name or symbol for the unit to indicate a multiple or subdivision. For example:

"kilo" means 1000, so kilometre means 1000 metres.

"centi" means one hundredth, so centimetre means one hundreth of a metre, or in other words 100 centimetre = 1 metre.

In symbols these two examples are written km (symbol for kilo = k, symbol for metre = m) and cm (symbol for centi = c) respectively.

These rules apply to all units and their symbols. So for example:

1 kW = 1000 W, 1 kg = 1000 g, 1 km = 1000 m, and so on.

Commonly used metric prefixes
name symbol value of multiple or subdivision example
nano n billionth (0.000 000 001)

1000 000 000 nanometre = 1 metre (1000 000 000 nm = 1 m)

Wavelength of green light = 550 nm

micro µ millionth (0.000 001)

1000 000 microgram = 1 gram (1000 000 µg = 1 g)

Often seen in drug doses

milli m thousandth (0.001)

1000 millimetre = 1 metre (1000 mm = 1 m)

Very handy for small or precision measurements.

centi c hundredth (0.01)

100 centilitre = 1 litre (100 cL = 1 L)

Common for wine and spririts

deci d tenth (0.1)

1 dm = 0.1 m

Not seen a great deal but can be useful (note 1 dm3 = 1 L)

deca da 10

1 decagram = 10 gram

Seldom used but shown for completeness

hecto h 100

1 hectolitre = 100 litre (1 hL = 100 L)

See hectare for another example below.

kilo k 1000 See examples above. Very common.
mega M 1000 000 1 megawatt = 1000 000 watt = 1000 kilowatt (1 MW = 1000 000 W = 1000 kW)
giga G 1000 000 000

1 gigahertz = 1000 000 000 hertz (1 GHz = 1000 000 000 Hz)

Seen in PC specs, e.g. 2.7 GHz processor.

The remainder of the prefixes are shown here. They cover a very wide range and are not generally encountered outside science and engineering applications. Note that scientific notation is used for convenience.

Other SI prefixes
name symbol value name symbol value
yotta Y 1024 pico p 10-12
zetta Z 1021 femto f 10-15
exa E 1018 atto a 10-18
peta P 1015 zepto z 10-21
tera T 1012 yocto y 10-24
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