Definition: Approximation is a term used in mathematics, science, and other fields to describe an estimate made based on a smaller amount of data or information. It can involve making a guess, calculation, or drawing conclusions from small pieces of evidence without considering all relevant factors. For example, when someone calculates the area under a curve for a single event, they are applying approximation by assuming that each point falls within the same rectangle as the rest, without taking into account variations in size and position. Similarly, if a person uses the length of an object to determine its volume, they are making a guess based on the closest measurements they have available. Understanding what approximation means and how it is used is important for a variety of fields because it helps ensure that calculations are accurate and precise.