Dimensional+Analysis

=Dimensional Analysis =
 * This method is also commonly referred to as factor-label method.

Dimensional analysis is a helpful aid in problem solving. When using dimensional analysis units are carried through all calculations. The units are then multiplied together, divided or canceled out. As units are canceled out we can check to see that we are getting the information we are seeking. When solving a problem it is generally best to first find a way to relate the given unit to the desired unit. If you do not reach the desired unit by the end of your calculations then an error was made at some point in the calculation.

This method can be very helpful when you come across a problem that involves a lot of conversions. The picture below shows how dimensional analysis can be used for single conversions (see problems 1 and 2), or for more complex conversions (see problem 3).

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Conversion charts are helpful tools when using dimensional analysis.