Terminology of Units

Name Examples Explanation
Derived unit

metres per second
square centimetres
litres per hour
cubic kilometres
metres per second per second
watt

A derived unit measures a quantity made from a combination of other quantities. For example, an object has a speed of 1 km per hour (derived unit) if it travels 1 kilometre in one hour.

Many everyday and scientific quantities require derived units, eg velocity and speed (distance per unit time); acceleration (velocity change per unit time); force (mass unit times acceleration unit); interest rate (money per year).

SI unit or metric unit

metre
kilometre
metres per second
square metre

Any unit in the "metric system" . These are all base-ten compatible (except where they involve time).

SI stands for 'international system' in French (Système Internationale d'Unités)

Standard unit metre (m)
kilogram (kg)
second (s)

There are 7 units which are used to make the agreed SI units for all known physical quantities. For example, the newton, the unit for force is defined in terms of three of the standard units: kilograms, metres and seconds.

There are only three standard units which are common in school mathematics - kg, m, s. Other standard units are for electric current (ampere), temperature (degrees kelvin), amount of substance (mole)and light intensity (candela).

Formal unit

hour
degree Celsius
degree (for angles)
metre
foot

Any unit with an agreed definition across society. They include metric and imperial units.
Informal unit

the length of my foot
the mass of a Lego block
time for a handclap

A term used by teachers for impermanent units used to teach students the principles of measurement.
Imperial unit

foot
ounce
mile
inch
hour

Any unit from the old British system (used in Australia before 1980s).

Abbreviations

quantity to measure SI unit approved abbreviation
length metre m
mass kilogram kg
time second s

NOTE: Other abbreviations which are strictly not correct are used occasionally.
Teachers should adhere to the standard abbreviations but accept other common forms.

Common prefixes for SI units

We can combine these basic units with prefixes to form a multiple unit of more convenient size. See the table below for some of these commonly used prefixes.

prefix and
symbol

value and meaning
example
mega (M)

1 000 000
one million

a megalitre is one million litres
kilo (k) 1 000
one thousand
a kilogram is one thousand grams
deci (d) 0.1
one tenth
a decimetre is one tenth of a metre
centi (c) 0.01
one hundredth
a centimetre is one hundredth of a metre
milli (m) 0.001
one thousandth

a milligram is one thousandth of a gram

micro ( µ) 0.000 0001
one millionth
a micrometre is one millionth of a metre. µ is a Greek letter, pronounced as 'mu'.

Non SI-Units

Some units not in the SI system have been retained because of their practical importance. In Australia, there is common usage of the following non-SI units:

Unit Definition Value
minute 1 min = 60 s 60 s
hour 1 hour = 3600 s 3600 s
temperature 1 degree Celsius = 1 kelvin 1° C

Strictly speaking, 'tonne, 'litre' and 'hectare' are metric but not SI units. (The alternative SI terms, which are not commonly used, are, Mkg, 1 dm3 and 10000 m2, respectively.)