Discussion
Arrange the steps of a units conversion in the recommended order.
1. cancel units algebraically
2. write the quantity with its units
3. carry out the arithmetic
4. write each conversion factor as a ratio equal to one
Answer: B
Correct answer: 2 - 4 - 1 - 3
Write the quantity with its units, write each conversion factor as a ratio equal to one, cancel the units algebraically, and only then do the arithmetic. Doing the numbers first is what produces answers that are right in magnitude and wrong by a factor of sixty or a thousand, because the cancellation is the step that catches an inverted factor.
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