Accepted units for numeric value with units
Updated 30 Aug 2024
In the lists of supported units in the sections below, the first column provides information about the unit system.
Unit systems are shown as either:
- SI for International System of Units (metric) or US for U.S. Customary System
-
SI and US, if available for both
If several codes are supported for the same unit, and all codes use the same unit system, the unit system is shown only once.
However, if codes have different unit systems, a unit system is provided for each code, in the order the codes are listed. For example, if there are three codes for one unit, and the first two codes are SI and the third is US, the designation is SI, SI, US. If all three are SI, SI appears just once.
Note: For the student view, the system automatically converts answers between units in the same unit system.
When entering the units part of an answer in the Simple Editor, you can enter any of the following supported prefixes. Students can enter these prefixes in their answers.
- In the lists of supported units in the sections that follow, units that support prefixes are shown in bold.
- SI prefixes are supported only on base units explicitly indicated.
Prefix Symbol 10^n deci d 10^-1 centi c 10^-2 milli m 10^-3 micro μ (infix = mu) 10^-6 nano n 10^-9 pico p 10^-12 femto f 10^-15 atto a 10^-18 zepto z 10^-21 yocto y 10^-24 deka da 10^1 hecto h 10^2 kilo k 10^3 mega M 10^6 giga G 10^9 tera T 10^12 peta P 10^15 exa E 10^18 zetta Z 10^21 yotta Y 10^24
Supported units are listed alphabetically within the following categories.
(Units that support prefixes are shown in bold.)
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
katal SI |
kat s^(-1) |
kat s^(-1) |
Code catalytic activity in kat unless you specifically need 1/s. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
Henry’s law constant units SI |
mol*(L*atm)^(-1) |
mol*(L*atm)^(-1) |
|
molal (molality) SI |
m mol*kg^(-1) |
molal mol*kg^(-1) |
You must code concentration as molal so it is not confused with m for meter. Avoid coding in base units. |
molarity SI |
M mol/L mol*m^(-3) |
M mol/L mol*m^(-3) |
Code chemical concentration in M unless you specifically need mol/L. Avoid coding in base units (mol/m^3). |
mole SI |
mol mole moles |
mol |
For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
parts per billion SI |
ppb |
ppb |
|
parts per million SI |
ppm |
ppm |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
angstrom SI |
AA |
||
Area SI |
m^2 |
m^2 |
|
Area US |
ft^2 in^2 |
ft^2 in^2 |
|
astronomical unit SI |
ua au AU |
ua |
You must code astronomical distances as ua. ua is recognized by NIST but books tend to use au, and some even use AU. All are acceptable student input. |
degree SI and US |
° |
deg |
|
foot US |
ft |
ft |
|
hectare SI |
ha |
ha |
|
inch US |
in |
in |
|
light year SI |
ly |
ly |
|
liter SI |
L l |
L |
Upper and lowercase l are acceptable student input but only use the infix L for coding. |
meter SI |
m |
m |
|
mile US |
mi |
mi |
|
milliliter SI |
mL ml |
mL |
|
parsec SI |
pc |
pc |
|
radian SI and US |
rad |
rad |
|
revolution SI and US |
rev |
rev |
|
steradian SI and US |
sr |
sr |
|
volume SI, US, US |
m^3 ft^3 in^3 |
m^3 ft^3 in^3 |
|
yard US |
yd |
yd |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
ampere SI |
A amp C*s^(-1) |
A amp C*s^(-1) |
Code current as A unless you specifically need C*s. Only use amp in Mastering Chemistry (specifically BLB) as an alternate correct answer. Do NOT use this unit in Mastering Physics. |
charge per unit area SI |
C*m^(-2) A*s*m^(-2) |
C*m^(-2) A*s*m^(-2) |
Code charge as C unless you specifically need A*s. |
charge per unit length SI |
C*m^(-1) A*s*m^(-1) |
C*m^(-1) A*s*m^(-1)
|
Code charge as C unless you specifically need A*s. |
charge per unit volume SI |
C*m^(-3) A*s*m^(-3) |
C*m^(-3) A*s*m^(-3) |
Code charge as C unless you specifically need A*s. |
current density SI |
A*m^(-2) |
A*m^(-2) |
|
debye SI |
D |
D |
|
electric charge SI |
C A*s |
C A*s |
Code charge as C unless you specifically need A*s. |
electric field SI |
N*C*^(-1) V*m^(-1) V/m kg*m*A^(-1)*s^(-3) |
N*C*^(-1) V*m^(-1) V/m kg*m*A^(-1)*s^(-3) |
Code electric field as either N/C or V/m. Avoid using base units. |
electric flux SI |
N*m^2*C^(-1) V*m kg*m^3*(A)^(-1) *(s)^(-3) |
N*m^2*C^(-1) V*m kg*m^3*(A)^(-1) *(s)^(-3) |
Code electric flux as either N*m^2/C or V*m. Avoid using base units. |
electron charge SI |
e |
e |
|
electronvolt SI |
eV |
eV |
|
electrostatic unit of charge SI |
esu |
esu |
|
farad SI |
F C*V^(-1) m^(-2)*kg^(-1)*s^(4)*A^(2) |
F >C*V^(-1) m^(-2)*kg^(-1)*s^(4)*A^(2) |
Code capacitance as F unless you specifically need C/V. Avoid using base units. |
megaelectronvolt SI |
MeV |
MeV |
|
ohm SI |
>Omega
V*A^(-1) m^(2)*kg*s^(-3)*A^(-2) |
Omega V*A^(-1) m^(2)*kg*s^(-3)*A^(-2) |
Code resistance as Omega unless you specifically need to use V/A. Avoid using base units. |
resistivity SI |
Omega*m *m kg*s^(-3)*A^(-2) |
Omega*m kg*s^(-3)*A^(-2) |
Code resistivity as Omega*m unless you specifically need the base units. |
siemens SI |
S A*V^(-1) m^(-2)*kg^(-1)*s^(3)*A^(2) |
S A*V^(-1) m^(-2)*kg^(-1)*s^(3)*A^(2) |
Code conductance as S unless you specifically need A/V. Avoid using base units. |
thermal resistance SI |
m^2*K*W^(-1) K*s^(3)*kg^(-1) |
m^2*K*W^(-1) K*s^(3)*kg^(-1) |
|
volt SI |
V J*C^(-1) m^(2)*kg*s^(-3)*A^(-1) W*A^(-1) |
V J*C^(-1) m^(2)*kg*s^(-3)*A^(-1) W*A^(-1) |
Code electric field as V unless you specifically need to use W/A or J/C. Avoid using base units. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
energy per mol SI |
kWh*mol^(-1) J*mol^(-1) |
kWh*mol^(-1) J*mol^(-1) |
For student input, mol, mole, and moles are considered alternate acceptable spellings, but you should code answers using the infix mol. |
energy per volume SI |
J*L^(-1) J*m^(-3) kg*m^(-1)*s^(-2) |
J*L^(-1) J*m^(-3) kg*m^(-1)*s^(-2) |
Code energy density as J/L or J/m^3. Avoid using base units. |
erg SI |
erg |
erg |
|
foot pound US |
ft*lb |
ft*lb |
|
joule SI |
J N*m m^(2)*kg*s^(-2) |
J N*m m^(2)*kg*s^(-2) |
Code energy as J unless you specifically need N*m. Avoid using base units. |
kilowatt hour SI |
kWh | kWh | |
Poynting vector SI |
J*(m^2*s)^(-1) W/m^2 kg*s^(-3) |
J*(m^2*s)^(-1) W/m^2 kg*s^(-3) |
Code the Poynting vector as W/m^2 or J/(2*m^2). Avoid using base units. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
atmosphere SI |
atm |
atm |
|
bar SI |
bar |
bar |
|
dyne SI |
dyn |
dyn |
|
equilibrium intensity SI, SI, US |
N*m^(-1) kg*s^(-2) lb*ft^(-1) |
N*m^(-1) kg*s^(-2) lb*ft^(-1) |
Code equilibrium intensity as N/m unless you specifically need kg/s^2. |
Henry’s law constant units SI |
mol*(L*atm)^(-1) |
mol*(L*atm)^(-1) |
For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
kilopound US |
kip kips |
kip |
For student input, kip and kips are considered acceptable alternate spellings. |
kilopound per square inch US |
ksi |
ksi |
|
millimeter of mercury SI |
mmHg |
mmHg |
|
newton SI |
N m*kg*s^(-2) |
N m*kg*s^(-2) |
Code force as N unless you specifically need kg*m/s^2. |
pascal SI |
Pa N*m^(-2) m^(-1)*kg*s^(-2) |
Pa N*m^(-2) m^(-1)*kg*s^(-2) |
Code pressure in Pa unless you specifically need N/m^2. Avoid using base units. |
pound US |
lb |
lb |
|
pounds per square inch US |
psi lb*in^(-2) |
psi lb*in^(-2) |
Code pressure in psi unless you specifically need lb/in^2. |
spring constant SI, SI, US, US |
N*m^(-1) kg*s^(-2) lb*ft^(-1) lb*in^(-1) |
N*m^(-1) kg*s^(-2) lb*ft^(-1) lb*in^(-1) |
|
surface tension SI |
J*m^(-2) N*m^ (-1) kg*s^(-2) |
J*m^(-2) N*m^ (-1) kg*s^(-2) |
|
torque SI |
N*m kg*m^2*s^(-2) |
N*m kg*m^2*s^(-2) |
Code torque as N*m unless you specifically need the base units. |
ton US |
t |
t |
Conversion to U.S. tons; British tons are different (2240 lb). |
torr SI |
torr |
torr |
For student input, either Torr or torr are considered acceptable alternate spellings. |
torsion constant SI |
N*m*rad^(-1) kg*m^2*s^(-2) |
N*m*rad^(-1) kg*m^2*s^(-2) |
Code the torsion constant as N*m/rad unless you specifically need the base units. |
viscosity SI |
Pa*s N*s/m^2 kg*(m*s)^(-1) |
Pa*s N*s/m^2 kg*(m*s)^(-1) |
Code viscosity as Pa*s or N*s/m^2 unless you specifically need the base units. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
diopter SI |
dpt m^(-1) |
dpt m^(-1) |
Code refractive power as dpt unless you specifically need 1/m. |
wave number SI |
rad*m^(-1) 1/m 1/cm |
rad*m^(-1) 1/m 1/cm |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
acceleration SI and US |
any supported distance per time-squared measure |
||
acceleration due to gravity SI and US |
g |
grav |
You must code acceleration due to gravity as grav so it is not confused with g for gram. |
angular acceleration SI and US |
any supported angular distance per time-squared measure |
|
|
angular momentum SI, US |
kg*m^2*s^(-1) slug*ft^2*s^(-1) |
kg*m^2*s^(-1) slug*ft^2*s^(-1) |
|
angular velocity SI and US |
any supported angular distance per time measure |
||
impulse SI, SI, US |
N*s kg*m*s^(-1) lb*s |
N*s kg*m*s^(-1) lb*s |
|
miles per hour US |
mph |
mph |
|
momentum SI |
N*s kg*m*s^(-1) |
N*s kg*m*s^(-1) |
|
revolutions per minute SI and US |
rpm |
rpm |
|
speed of light SI |
c |
c |
|
velocity SI and US |
any supported distance per time measure |
|
Because Mastering doesn’t currently accept T*m^2 as an equivalent of V*s, it’s best NOT to require students to enter a unit in webers using the numeric values with units answer type. Instead, use an alternate answer type, such as multiple choice or numeric value or symbolic expression.
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
henry SI |
H Wb*A^(-1) m^(2)*kg*s^(-2)*A^(-2) |
H Wb*A^(-1) m^(2)*kg*s^(-2)*A^(-2) |
Code inductance as H unless you specifically need Wb/A. Avoid using base units. |
magnetic dipole SI |
A*m^2 |
A*m^2 |
|
tesla SI |
T Wb*m^(-2) kg*s^(-2)*A^(-1) |
T Wb*m^(-2) kg*s^(-2)*A^(-1) |
Code magnetic flux density as T unless you specifically need Wb/m^2. Avoid using base units. |
weber SI |
Wb V*s m^(2)*kg*s^(-2)*A^(-1) |
Wb V*s m^(2)*kg*s^(-2)*A^(-1) |
Code magnetic flux as Wb unless you specifically need V*s. Avoid using base units.
Mastering doesn’t currently accept T*m^2 as an equivalent of V*s. See the note above this table for more details. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
gram SI |
g |
g |
|
kilogram SI |
kg |
kg |
|
mass SI |
MeV*c^(-2) |
MeV*c^(-2) |
|
mass per unit area SI |
kg*m^(-2) |
kg*m^(-2) |
|
mass per unit length SI |
kg*m^(-1) |
kg*m^(-1) |
|
mass/volume SI |
kg*L^(-1) g*cm^(-3) g*mL^(-1) kg*m^(-3) |
kg*L^(-1) g*cm^(-3) g*mL^(-1) kg*m^(-3) |
|
molar mass SI |
g*mol^(-1) |
g*mol^(-1) |
|
molar volume SI |
cm^3*mol^(-1) |
cm^3*mol^(-1) |
|
mole SI |
mol mole moles |
mol |
For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
slug US |
slug |
slug |
|
solar mass SI |
M_Sun M_sun |
M_Sun |
M_Sun and M_sun are valid student entries for solar mass. However, code answers using the infix M_Sun. |
unified atomic mass unit SI |
u amu |
u amu |
u and Da are the official NIST standards but amu is commonly used in our books. Only use u when coding infix answers. |
unified atomic mass unit (dalton) SI |
Da |
Da |
Unit Name, System | Units Students Enter | Infix You Code |
---|---|---|
parts per billion SI |
ppb |
ppb |
parts per million SI |
ppm |
ppm |
percent SI and US |
% |
% |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
apparent power
|
VA |
VA |
Code apparent power as VA. Avoid using base units. |
candela SI |
cd |
cd |
|
decibel SI |
dB |
dB |
For intro courses, decibels are more common than bels, so bels are not currently supported. |
energy per time SI |
J*min^(-1) J*h^(-1) |
J*min^(-1) J*h^(-1) |
|
horsepower US |
hp Hp HP |
hp |
Use only hp when coding. |
intensity SI |
W*m^(-2) kg*s^(-3) |
W*m^(-2) kg*s^(-3) |
Code intensity as W/m^2 unless you specifically need the expression in base units. |
lumen SI |
lum lx*m^(-2) m^(-2)*cd |
lum lx*m^(-2) m^(-2)*cd |
Code illuminance as lum unless you specifically need lx/m^2. Avoid using base units. |
luminosity SI |
W J*s^(-1) |
W J*s^(-1) |
Code luminosity as W unless you specifically need J/s. Avoid using base units. |
lux SI |
lx cd*sr cd |
lx cd*sr |
Code luminous flux as lx. Avoid using other units. lx is not the same as cd, but is a valid student entry to avoid confusion. |
Poynting vector SI |
J*(m^2*s)^(-1) W/m^2 kg*s^(-3) |
J*(m^2*s)^(-1) W/m^2 kg*s^(-3) |
Code the Poynting vector as W/m^2 or J/(2*m^2). Avoid using base units. |
reactive power
|
VAR
|
VAR
|
Code reactive power as VAR. Avoid using base units. |
solar luminosity SI |
L_Sun L_sun W J*s^(-1) m^(2)*kg*s^(-3) |
L_Sun W J*s^(-1) m^(2)*kg*s^(-3) |
L_Sun and L_sun are valid student entries for solar luminosity, but code answers using L_Sun. |
watt SI |
W J*s^(-1) m^(2)*kg*s^(-3) |
W J*s^(-1) m^(2)*kg*s^(-3) |
Code power as W unless you specifically need J/s. Avoid using base units. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
becquerel SI |
Bq J*kg^(-1) m^(2)*s^(-2) |
Bq J*kg^(-1) m^(2)*s^(-2) |
Code activity in either Bq or Ci unless you specifically need J/kg. Avoid coding activity in base units. |
centimorgan SI |
cM |
cM |
|
curie SI |
Ci |
Ci |
|
disintegration SI |
dis |
dis |
|
gray SI |
Gy J*kg^(-1) m^(2)*s^(-2) |
Gy J*kg^(-1) m^(2)*s^(-2) |
Code absorbed dose in Gy unless you specifically need J/kg. Avoid coding absorbed dose in base units. |
rad SI |
rad
|
rd
|
You must code absorbed dose as rd so it is not confused with rad for radian. |
radian SI and US |
rad |
rad |
|
rem SI |
rem |
rem |
|
roentgen SI |
R |
R
|
|
sievert SI |
Sv s^(-1)*mol |
Sv s^(-1)*mol |
Code dose equivalent as Sv unless you specifically need mol/s. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
hertz SI and US |
Hz s^(-1) |
Hz s^(-1) |
Code frequency as Hz unless you specifically need 1/s. |
rate SI |
kg*m^(-1)*s^(-3) M*h^(-1) M*min^(-1) M*s^(-1) mol*L^(-1)*h^(-1) mol*L^(-1)*min^(-1) mol*L^(-1)*s^(-1) mol*m^(-3)*h^(-1) mol*m^(-3)*min^(-1) mol*m^(-3)*s^(-1) mol*h^(-1) mol*min^(-1) mol*s^(-1) Pa*h^(-1) Pa*min^(-1) Pa*s^(-1) torr*h^(-1) torr*min^(-1) torr*s^(-1) |
kg*m^(-1)*s^(-3) M*h^(-1) M*min^(-1) M*s^(-1) mol*L^(-1)*h^(-1) mol*L^(-1)*min^(-1) mol*L^(-1)*s^(-1) mol*m^(-3)*h^(-1) mol*m^(-3)*min^(-1) mol*m^(-3)*s^(-1) mol*h^(-1) mol*min^(-1) mol*s^(-1) Pa*h^(-1) Pa*min^(-1) Pa*s^(-1) torr*h^(-1) torr*min^(-1) torr*s^(-1) |
For Pa, prefix is allowed on numerator only.
|
rate constant SI |
L^2*mol^(-2)*s^(-1) L*mol^(-1)*s^(-1) M^(-1)*s^(-1) M^(-2)*s^(-1) m^3*mol^(-1)*s^(-1) m^(6)*mol^(-2)*s^(-1) s^(-1) |
L^2*mol^(-2)*s^(-1) L*mol^(-1)*s^(-1) M^(-1)*s^(-1) M^(-2)*s^(-1) m^3*mol^(-1)*s^(-1) m^(6)*mol^(-2)*s^(-1) s^(-1) |
For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
volume flow rate SI |
L*s^(-1) m^3*s^(-1) |
L*s^(-1) m^3*s^(-1) |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
British Thermal Unit US |
BTU Btu btu |
BTU |
BTU, Btu, and btu are valid student entries, but code answers only the infix BTU. |
degree Celsius SI |
°C |
>degC |
|
degree Fahrenheit US |
°F |
degF |
|
energy per mol SI |
kWh*mol^(-1) J*mol^(-1) |
kWh*mol^(-1) J*mol^(-1) |
Prefix allowed only in numerator (on J). Common variation is kJ/mol. For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
entropy SI |
J*K^(-1) |
J*K^(-1) |
|
entropy per mol SI |
J*(mol*K)^(-1) |
J*(mol*K)^(-1) |
For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
joule SI |
J N*m m^(2)*kg*s^(-2) |
J N*m m^(2)*kg*s^(-2) |
Code energy as J unless you specifically need N*m. Avoid using base units. |
kelvin SI |
K |
K |
|
latent heat capacity SI |
J*kg^(-1) |
J*kg^(-1) |
Prefix can be used for J and kg. |
molal boiling point elevation constant units SI |
°C/m |
degC*(molal)^(-1) |
|
molar heat capacity SI |
J*(mol*°C)^(-1) J*(mol*K)^(-1) |
J*(mol*degC)^(-1) J*(mol*K)^(-1) |
For student input, mol, mole, and moles are considered acceptable alternate spellings, but you should code answers using the infix mol. |
nutritional Calorie SI |
kcal Cal |
kcal Cal |
kcal and Cal are the same. Cal is not the same as cal. |
rankine US |
°R |
degR |
|
specific heat SI |
cal*(g*°C)^(-1) J*(kg*°C)^(-1) J*(kg*K)^(-1) m^2*s^(-2)*K^(-1) m^2*s^(-2)*°C^(-1) |
cal*(g* degC)^(-1) J*(kg*degC)^(-1) J*(kg*K)^(-1) m^2*s^(-2)*K^(-1) m^2*s^(-2)*degC^(-1) |
Prefix can be placed on J and kg. |
thermal Caolorie SI |
cal |
cal |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
day SI and US |
d |
d |
|
hour
SI and US |
h hr |
h |
h and hr are supported as alternate student entries, but use only the infix h for coding. |
minute SI and US |
min |
min |
|
second SI and US |
s |
s |
|
year SI and US |
yr y |
yr |
yr and y are supported as alternate student entries, but use only the infix yr for coding. |
Unit Name, System | Units Students Enter | Infix You Code | Notes |
---|---|---|---|
impulse SI |
kg*m*s^(-1) |
kg*m*s^(-1) |
|
joule
SI |
J N*m m^(2)*kg*s^(-2) |
J N*m m^(2)*kg*s^(-2) |
Code energy as J unless you specifically need N*m. Avoid using base units. |
mass moment of inertia SI, US |
kg*m^2 slug*ft^2 |
kg*m^2 slug*ft^2 |
|
moment SI |
N*m kg*m^2*s^(-2) |
N*m kg*m^2*s^(-2) |
|
moment US |
kip*ft kips*ft kip*in kips*in lb*ft lb*in |
kip*ft kip*in lb*ft lb*in |
For student input, kip and kips are considered acceptable alternate spellings. |
moment of inertia SI |
m^4 kg*m^2 ft^4 in^4 |
m^4 kg*m^2 ft^4 in^4 |
|
torque SI |
N*m kg*m^2*s^(-2) |
N*m kg*m^2*s^(-2) |
Code torque as N*m unless you specifically need the base units. |
How students can view the acceptable units list —
As they answer numeric value with units questions, students can select either the Keyboard shortcuts or Help buttons on the toolbar for the answer box. (They must select one more link to view the list.)