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Quantity Expressed with Value and Unit
How should a physical quantity be expressed?
✍: FYIcenter.com
When presenting a physical quantity, we need to
present it with 2 components,
the numerical value and the associated unit.
ISO 80000 specifies that the numerical value and the associated unit of a quantity should be expressed as a multiplication operation. For example:
<math> <mi>v</mi> <mo>=</mo> <mn>100</mn> <mo></mo>
<mi mathvariant="normal">km</mi>
<mo lspace="0" rspace="0">/</mo>
<mi mathvariant="normal">h</mi> </math>
where
v is speed limit on highway
100 is the numerical value
km/h is the unit
"Invisible Times" operator is used
Note that the above equation can be rearranged to express the numerical value of 100 as the speed limit v in km/h:
<math> <mn>100</mn> <mo>=</mo> <mi>v</mi>
<mo lspace="thickmathspace" rspace="thickmathspace">/</mo>
<mo>(</mo> <mi mathvariant="normal">km</mi>
<mo lspace="0" rspace="0">/</mo>
<mi mathvariant="normal">h</mi> <mo>)</mo> </math>
ISO 80000 also includes another expression for the numerical value of a quantity symbol in a given unit with curly brackets:
<math> <msub><mrow> <mo>{</mo> <mi>v</mi> <mo>}</mo>
</mrow> <mrow> <mi mathvariant="normal">km</mi>
<mo lspace="0" rspace="0">/</mo>
<mi mathvariant="normal">h</mi>
</mrow> </msub> <mo>=</mo> <mi>v</mi>
<mo lspace="thickmathspace" rspace="thickmathspace">/</mo>
<mo>(</mo> <mi mathvariant="normal">km</mi>
<mo lspace="0" rspace="0">/</mo>
<mi mathvariant="normal">h</mi> <mo>)</mo> </math>
⇒ Quantity Equation in Coherent Units
⇐ Quantities (Types) Included in ISQ
2026-10-28, ∼1928🔥, 0💬
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