Definition: | number and reference together expressing magnitude of a quantity
Note 1 to entry: According to the type of reference, the value of a quantity is either:
- a product of a number and a unit of measurement (the unit one is generally omitted for quantities of dimension one, as in examples f and g):
a) Length of a given rod: 5,34 m or 534 cm
b) Mass of a given body: 0,152 kg or 152 g
c) Curvature of a given arc: 112 m–1, expressed in words by "one hundred and twelve per metre"
d) Celsius temperature of a given sample: –5 °C
e) Electric impedance of a given circuit element at a given frequency, where j is the imaginary unit: (7,5 + 3,2 j) Ω
f) Refractive index of a given sample of glass: 1,32
g) Mass fraction of cadmium in a given sample of copper: 3 µg/kg or 3 × 10–1
h) Molality of Pb2+ in a given sample of water: 1,76 mmol/kg
- a number and a reference to a measurement procedure:
Rockwell C hardness of a given sample: 43,5 HCR
- a number and a reference material:
Arbitrary amount-of-substance concentration of lutropin in a given sample of human blood plasma (WHO International Standard 80/552 used as a calibrator): 5,0 IU/l, where "IU" stands for "WHO International Unit"
In the first case, the value of a quantity Q is generally denoted {Q}[Q] where {Q} is the numerical value and [Q] is the unit of measurement.
Note 2 to entry: The number can be complex (see example e in Note 1 to entry).
Note 3 to entry: The value of a quantity can be presented in more than one way (see examples a, b, and g in Note 1 to entry).
Note 4 to entry: In the case of vector or tensor quantities, each component has a value, and the same for the magnitude of a vector quantity. Example:
force acting on a given particle, e.g. in Cartesian components
(Fx; Fy; Fz) = (–31,5; 43,2; 17,0) N
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