A word that means "to convert from a unit-less quantity to a unit-ed quantity"

I have the value 30, which is a unit-less or dimension-less value. To convert this to a "unit-ed" value, I append the "ms" suffix (or more formally, multiply the dimensionless value by 1ms), giving me the value "30ms" or "30 milliseconds".

Is there a name for this process of converting a unit-less value to a unit-ed one? Off the top of my head, I can think of the non-standard "unitize", but I'm wondering if there is a standard word.

I don't think I've heard it used in quite this way, but I would say dimension.

This is an extension of the OED's definition 2 (for the verb):

transitive. To mark the dimensions on (a working drawing, diagram, or sketch). Chiefly in past participle and participial adjective.

So, "Having completed the calculation with pure numbers, we dimensioned them for the report".

qualify

to characterize by naming an attribute - merriam-webster

In this example, you are naming the "units of measurement" attribute