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Yes, of course it does. If you're trying to convert inches to feet and you multiply by 12

instead of dividing, you're going to get the wrong answer.

Since this is so very obvious, I can only hope you were asking if it matters if you

divide by 12 or multiply by 1/12 in the above example. In which case the answer is

no, it does not, both of these give the same result.

========================

Another way to think about it . . .

Multiplying and dividing by the same conversion factor will give you

two different answers.

Since there can't be two different correct answers, at least one of them

must be wrong.

(If you made a mistake in your arithmetic, then they could both be wrong.

The best possible result is that one is right and the other is wrong.)

If the best possible result of two different methods is one right answer and

one wrong answer, then it makes a difference which method you choose,

doesn't it ?

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Q: Does it make any difference whether you multiply or divide by a conversion factor?
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