Units, their meaning and application
500 Tonne | x | 500kg | ![]() |
500kgs | x | 500 kg |
x |
500 kgs | x | 500KG | x |
500 tonnes | x | 500 KG | x |
500ts | x | 500t | ![]() |
500 Ton | ![]() |
500 t | x |
500 TON | x | 500 tonne | ![]() |
Length | Area | |
10 millimetres = 1 centimetre | 100mm2 = 1cm2 | |
10 centimetres = 1 decimetre | 10000cm2 = 1m2 | |
10 decimetres = 1 metre | 100m2 = 1 are | |
10 metres = 1 decametre | 100 ares = 1 hectare | |
10 decametres = 1 hectometre | 10000m2 = 1 hectare | |
10 hectometres = 1 kilometre | 100 hectares = 1 km2 | |
1000 metres = 1 kilometre | 1000000m2 = 1 km2 | |
Volume | Capacity | |
1000mm3 = 1cm3 | 10 millilitres = 1 centilitre | |
1000cm3 = 1dm3 | 10 centilitres = 1 decilitre | |
1000dm3 = 1m3 | 10 decilitres = 1 litre | |
1 million cm3 = 1m3 | 1000 litres = 1 metre3 | |
Mass | ||
1000 grams = 1 kilogram | ||
1000 kilograms = 1 tonne | ||
Weight (old) |
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16 ounces (oz) = 1 pound (Ib) | ||
112 pounds (Ib) = 1 hundredweight (cwt) | ||
Length |
20 hundredweight = 1 Ton |
Area |
12 inches = 1 foot | 144 sq inches = 1 sq foot | |
3 feet = 1 yard | 9 sq feet = 1 sq yard | |
22 yards = 1 chain | 4840 sq yards = 1 acre | |
10 chains = 1 furlong | 640 acres = 1 sq mile | |
8 furlongs = 1 mile | ||
5280 feet = 1 mile | ||
1760 yards = 1 mile | ||
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area |
square meter | m2 |
volume | cubic meter | m3 |
speed, velocity | meter per second | m/s |
acceleration | meter per second squared | m/s2 |
wave number | reciprocal meter | m-1 |
mass density | kilogram per cubic meter | kg/m3 |
specific volume | cubic meter per kilogram | m3/kg |
current density | ampere per square meter | A/m2 |
magnetic field strength | ampere per meter | A/m |
amount-of-substance concentration | mole per cubic meter | mol/m3 |
luminance | candela per square meter | cd/m2 |
mass fraction | kilogram per kilogram, which may be represented by the number 1 | kg/kg = 1 |
plane angle | radian (a) | rad | - | m·m-1 = 1 (b) |
solid angle | steradian (a) | sr (c) | - | m2·m-2 = 1 (b) |
frequency | hertz | Hz | - | s-1 |
force | newton | N | - | m·kg·s-2 |
pressure, stress | pascal | Pa | N/m2 | m-1·kg·s-2 |
energy, work, quantity of heat | joule | J | N·m | m2·kg·s-2 |
power, radiant flux | watt | W | J/s | m2·kg·s-3 |
electric charge, quantity of electricity | coulomb | C | - | s·A |
electric potential difference, electromotive force |
volt | V | W/A | m2·kg·s-3·A-1 |
capacitance | farad | F | C/V | m-2·kg-1·s4·A2 |
electric resistance | ohm | ![]() |
V/A | m2·kg·s-3·A-2 |
electric conductance | siemens | S | A/V | m-2·kg-1·s3·A2 |
magnetic flux | weber | Wb | V·s | m2·kg·s-2·A-1 |
magnetic flux density | tesla | T | Wb/m2 | kg·s-2·A-1 |
inductance | henry | H | Wb/A | m2·kg·s-2·A-2 |
Celsius temperature | degree Celsius | °C | - | K |
luminous flux | lumen | lm | cd·sr (c) | m2·m-2·cd = cd |
illuminance | lux | lx | lm/m2 | m2·m-4·cd = m-2·cd |
activity (of a radionuclide) | becquerel | Bq | - | s-1 |
absorbed dose, specific energy (imparted), kerma | gray | Gy | J/kg | m2·s-2 |
dose equivalent (d) | sievert | Sv | J/kg | m2·s-2 |
catalytic activity | katal | kat | s-1·mol |
dynamic viscosity | pascal second | Pa·s |
moment of force | newton meter | N·m |
surface tension | newton per meter | N/m |
angular velocity | radian per second | rad/s |
angular acceleration | radian per second squared | rad/s2 |
heat flux density, irradiance | watt per square meter | W/m2 |
heat capacity, entropy | joule per kelvin | J/K |
specific heat capacity, specific entropy | joule per kilogram kelvin | J/(kg·K) |
specific energy | joule per kilogram | J/kg |
thermal conductivity | watt per meter kelvin | W/(m·K) |
energy density | joule per cubic meter | J/m3 |
electric field strength | volt per meter | V/m |
electric charge density | coulomb per cubic meter | C/m3 |
electric flux density | coulomb per square meter | C/m2 |
permittivity | farad per meter | F/m |
permeability | henry per meter | H/m |
molar energy | joule per mole | J/mol |
molar entropy, molar heat capacity | joule per mole kelvin | J/(mol·K) |
exposure (x and ![]() |
coulomb per kilogram | C/kg |
absorbed dose rate | gray per second | Gy/s |
radiant intensity | watt per steradian | W/sr |
radiance | watt per square meter steradian | W/(m2·sr) |
catalytic (activity) concentration | katal per cubic meter | kat/m3 |
minute (time) | min | 1min = 60s |
hour | h | 1h = 60min = 3600s |
day | d | 1d = 24h = 86 400s |
degree (angle) | ° | 1° = ( ![]() |
minute (angle) | ![]() |
1![]() ![]() |
second (angle) | ![]() ![]() |
1![]() ![]() ![]() ![]() |
litre | L | 1L = 1 dm3 = 10-3 m3 |
metric ton (a) | t | 1t = 103kg |
neper | Np | 1Np = 1 |
bel (b) | B | 1B = (1/2)ln 10Np (c) |
electron volt (d) | eV | 1eV = 1.602 18 x 10-19 J, approximately |
unified atomic mass unit (e) | u | 1u = 1.660 54 x 10-27 kg, approximately |
astronomical unit (f) | ua | 1ua = 1.495 98 x 1011 m, approximately |
#1![]() |
Only
units of the SI and those units recognized for use with the SI are used
to express the values of quantities. Equivalent values in other units
are given in parentheses following values in acceptable units only when
deemed necessary for the intended audience. There is no space between
the figure and the unit when abbreviated. A space is only included when
the word is written in full.
ie 100kg - 100 kilograms - 50 Ton - 50 tonne |
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#2![]() |
Abbreviations such as sec, cc, or mps are avoided and only standard unit symbols, prefix symbols, unit names, and prefix names are used. | ||||||||||||||||||||||||||||
proper: | s or second; cm3 or cubic centimetre; m/s or meter per second | ||||||||||||||||||||||||||||
improper: | sec; cc; mps | ||||||||||||||||||||||||||||
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#3![]() |
Unit symbols are unaltered in the plural. | ||||||||||||||||||||||||||||
proper:
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l = 75cm | ||||||||||||||||||||||||||||
improper:
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l = 75cms | ||||||||||||||||||||||||||||
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#4![]() |
Unit symbols are not followed by a period unless at the end of a sentence. | ||||||||||||||||||||||||||||
proper:
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The length of the bar
is 75cm. The bar is 75cm long. |
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improper:
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The bar is 75cm. long. | ||||||||||||||||||||||||||||
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#5![]() & division |
A space or half-high dot is used to signify the multiplication of units. A solidus (i.e., slash), horizontal line, or negative exponent is used to signify the division of units. The solidus must not be repeated on the same line unless parentheses are used. | ||||||||||||||||||||||||||||
proper:
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The speed of sound is
about 344 m·s-1 (meters per second) The decay rate of 113Cs is about 21 ms-1 (reciprocal milliseconds) m/s, m·s-2, m·kg/(s3·A), m·kg·s-3·A-1 m/s, m s-2, m kg/(s3 A), m kg s-3 A-1 |
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improper:
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The speed of sound is
about 344 ms-1 (reciprocal milliseconds) The decay rate of 113Cs is about 21 m·s-1 (meters per second) m ÷ s, m/s/s, m·kg/s3/A |
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#6![]() |
Variables and quantity symbols are in italic type. Unit symbols are in roman type. Numbers should generally be written in roman type. These rules apply irrespective of the typeface used in the surrounding text. | ||||||||||||||||||||||||||||
proper:
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She exclaimed, "That
dog weighs 10kg!" t = 3s, where t is time and s is second T = 22K, where T is thermodynamic temperature, and K is kelvin |
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improper:
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He exclaimed, "That
dog weighs 10 kg! t = 3s, where t is time and s is second T = 22K, where T is thermodynamic temperature, and K is kelvin |
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#7![]() |
Superscripts and subscripts are in italic type if they represent variables, quantities, or running numbers. They are in roman type if they are descriptive. | ||||||||||||||||||||||||||||
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#8![]() |
The combinations of letters "ppm," "ppb," and "ppt," and the terms part per million, part per billion, and part per trillion, and the like, are not used to express the values of quantities. | ||||||||||||||||||||||||||||
proper: | 2.0 µL/L; 2.0 x 10-6
V; 4.3 nm/m; 4.3 x 10-9 l; 7 ps/s; 7 x 10-12 t, where V, l, and t are the quantity symbols for volume, length, and time. |
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improper: | "ppm," "ppb," and "ppt," and the terms part per million, part per billion, and part per trillion, and the like | ||||||||||||||||||||||||||||
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#9![]() modifications |
Unit symbols (or names) are not modified by the addition of subscripts or other information. The following forms, for example, are used instead. | ||||||||||||||||||||||||||||
proper: | Vmax
= 1000V a mass fraction of 10% |
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improper: | V=
1000 Vmax 10 % (m/m) or 10 % (by weight) |
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#10![]() |
The symbol % is used to represent simply the number 0.01. | |
proper: | l1
= l2(1 + 0.2 %), or D = 0.2 %, where D is defined by the relation D = (l1 - l2)/l2. |
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improper: | the length l1 exceeds the length l2 by 0.2 % | |
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#11![]() & units |
Information is not mixed with unit symbols or names. | |
proper: | the water content is 20mL/kg | |
improper: | 20mL H2O/
kg 20mL of water/ kg |
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#12![]() Math
notation |
It is clear to which unit symbol a numerical value belongs and which mathematical operation applies to the value of a quantity. | |
proper: | 35cm x
48cm 1MHz to 10MHz or (1 to 10) MHz 20°C to 30°C or (20 to 30) °C 123g ± 2g or (123 ± 2) g 70% ± 5% or (70 ± 5) % 240 x (1 ± 10 %) V |
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improper: |
35 x
48 cm 1MHz-10 MHz or 1 to 10 MHz 20 °C-30 °C or 20 to 30 °C 123 ± 2g 70 ± 5% 240V ± 10 % (one cannot add 240V and 10%) |
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#13![]() symbols & names |
Unit symbols and unit names are not mixed and mathematical operations are not applied to unit names. | |
proper: | kg/m3, kg · m-3, or kilogram per cubic meter | |
improper: | kilogram/m3, kg/cubic meter, kilogram/cubic meter, kg per m3, or kilogram per meter3. | |
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#14![]() unit symbols |
Values of quantities are expressed in acceptable units using Arabic numerals and symbols for units. | |
proper: | m = 5kg the current was 15A |
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improper: | m = five kilograms m = five kg the current was 15 amperes |
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#15![]() spacing |
There is no space between the numerical value and unit symbol, even when the value is used in an adjectival sense, even in the case of superscript units for plane angle. | |
proper: | a 25kg sphere an angle of 2° 3' 4" If the spelled-out name of a unit is used, the normal rules of English apply: "a roll of 35-millimeter film." |
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improper: | a 25-kg sphere an angle of 2 ° 3 ' 4 " |
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#16![]() spacing |
The digits of numerical values having more than four digits on either side of the decimal marker are separated into groups of three using a thin, fixed space counting from both the left and right of the decimal marker. Commas are not used to separate digits into groups of three. | |
proper:
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15 739.012 53 | |
improper:
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15739.01253 15,739.012 53 |
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#17![]() equations |
Equations between quantities are used in preference to equations between numerical values, and symbols representing numerical values are different from symbols representing the corresponding quantities. When a numerical-value equation is used, it is properly written and the corresponding quantity equation is given where possible. | |
proper: | (l/m) = 3.6-1 [v/(km/h)](t/s) | |
improper:
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l = 3.6-1 vt,
accompanied by text saying, "where l is in meters, v is in kilometers per hour, and t is in seconds" |
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#18 ![]() symbols |
Standardized
quantity symbols are used. Similarly, standardized mathematical signs
and symbols are used. More specifically, the base of "log" in
equations is specified when required by writing |
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proper: | tan x R for resistance Ar for relative atomic mass |
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improper: | tg x for
tangent of x words, acronyms, or ad hoc groups of letters |
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#19![]() mass |
When the word "weight" is used, the intended meaning is clear. (In science and technology, weight is a force, for which the SI unit is the Newton; in commerce and everyday use, weight is usually a synonym for mass, for which the SI unit is the kilogram.) | |
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#20![]() quantity |
A quotient quantity is written explicitly. | |
proper: | mass divided by volume | |
improper: | mass per unit volume | |
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#21![]() quantity |
An object and any quantity describing the object are distinguished. (Note the difference between "surface" and "area," "body" and "mass," "resistor" and "resistance," "coil" and "inductance.") | |
proper: | A body of mass 5g | |
improper: | A mass of 5g | |
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