Why is it important to know how to work with and manipulate units in calculations? How may this knowledge be used in your life?

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The process of unit conversion, often known as dimensional analysis, is a very important part of many real-world calculations. In mathematics, one learns to manipulate numbers, but in the real world numbers almost always have some sort of unit attached, and this needs to be managed correctly in order to arrive at a correct answer; without a unit, the answer is just a meaninless number.

Dimensional analysis allows one to convert between measurement systems easily. It also allows more obscure conversions, such as calculating how many atoms or molecules are present by using the weight of the substance. As far as real life examples, this sort of calculation is very important to medical personnel, who must use it to figure out dosages and test results.
 

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