Natural law operators work just like dimensional
numbers when they are used in exact correspondence with
the equation that defines them.
For example, resistance per unit length is the numerical and
dimensional transform that expresses Ohm's law, and acts "just
like a number" in expressions of Ohm's law.:
Natural law operators also act "just like numbers" when they
multiply or divide to form a compound natural
law operator that does not include an increment of space
(length, area, volume, or time.)  Mathematical and engineering
practice has long depended on our ability to multiply and divide
natural law operators in this (scale independent) way.