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2. Terms which are added or subtracted must have the same dimensions and
the same units.
I think I know what you mean by this, but I hesitate to say that one
cannot add 1 inch to 1 foot.
3. Quantities on either side of the equal sign must have the same
dimensions and the same units.
Does this mean that it is not proper to write "1 inch = 2.54 centimeters"
or "1 m = 100 cm"?