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Question
- when converting units in dimensional analysis, which statement is correct? a. units can be ignored as long as the numbers are calculated correctly b. units should be multiplied across the top and bottom of the conversion factor c. units that are different cannot be cancelled out d. only the final unit matters in the calculation
In dimensional analysis, units are an essential part of the process. When using conversion factors, units are multiplied across the top and bottom. Similar units in the numerator and denominator can be cancelled out. Ignoring units (option a) or only focusing on the final unit (option d) is incorrect as units must be tracked throughout. Different - but equivalent - units can be cancelled when using appropriate conversion factors, so option c is wrong.
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b. Units should be multiplied across the top and bottom of the conversion factor