Units of Measurement Used in Mathematics

Concept sheet | Mathematics
Definition

A unit of measurement is a reference measurement used to measure other quantities of the same nature.

There are, for example, units of measurement for length, volume, mass, area, capacity, temperature, etc. For each quantity measured, there are basic units which have been grouped together under the name: The International System of Units (SI).

The SI defines an international convention for the various units of measurement. The table below lists the main units of measurement used in mathematics. The units that are part of the SI are indicated in blue.

The Main Units Used in Mathematics

Measure

Unit

Symbol

Temperature

Degrees Celsius
Degrees Fahrenheit
Kelvin

°C
°F
K

Time

Second
Minute
Hour

s
min
hr

Length

Millimetre
Centimetre
Decimetre
Metre
Kilometre

mm
cm
dm
m
km

Area

Square centimetre
Square metre
Hectare

cm2
m2
ha

Volume

Cubic centimetre
Cubic metre
Millilitre
litre

cm3
m3
mL
L

Mass

Milligram
Gram
Kilogram
Tonne

mg
g
kg
t

Angles

Radian
Degree

rad
°

Definition

Conversion is the act of transforming one unit of measurement to another. For example, conversion is useful when changing from metres to centimetres.

It is possible to convert certain units by adding prefixes to the base unit of the SI.

Factor by which
the unit is multiplied

Number

Prefix Name

Symbol

|10^{12}|

1 000 000,000 000

tera

T

|10^9|

1,000 000 000

giga

G

|10^6|

1,000 000

mega

M

|10^3|

1000

kilo

k

|10^2|

100

hecto

h

|10^1|

10

deca

da

|10^{-1}|

0.1

deci

d

|10^{-2}|

0.01

centi

c

|10^{-3}|

0.001

milli

m

|10^{-6}|

0.000 001

micro

μ

|10^{-9}|

0.000 000 001

nano

n

|10^{-12}|

0.000 000 000 001

pico

p

|10^{-15}|

0.000 000 000 000 001

femto

f

|10^{-18}|

0.000 000 000 000 000 001

atto

a

Other units of measurement can be converted using particular conversion formulas. For example, this is the case for measuring temperature.