Editing Dimensional analysis (section)

== Conversion factor ==
{{Main|Conversion factor}}
In dimensional analysis, a ratio which converts one unit of measure into another without changing the quantity is called a ''[[conversion factor]]''. For example, kPa and bar are both units of pressure, and {{nowrap|1=100 kPa = 1 bar}}. The rules of algebra allow both sides of an equation to be divided by the same expression, so this is equivalent to {{nowrap|1=100 kPa / 1 bar = 1}}.  Since any quantity can be multiplied by 1 without changing it, the expression "{{nowrap|100 kPa / 1 bar}}" can be used to convert from bars to kPa by multiplying it with the quantity to be converted, including the unit. For example, {{nowrap|1=5 bar × 100 kPa / 1 bar = 500 kPa}} because {{nowrap|1=5 × 100 / 1 = 500}}, and bar/bar cancels out, so {{nowrap|1=5 bar = 500 kPa}}.