MadSci Network: Physics |
Dear Sonia: Your inquiry to Mad Science Network about what the importance is of “estimation” is an interesting one. In every-day life, one needs to estimate things, such as how much time a journey might take (which indicates how early you should start the trip), how much money you have on your person (so you will know whether or not you can buy stuff), how much time it will take for a thunderstorm to reach your location (so you can make plans to get out of the way), how much salt or other spices you might add to food (so it tastes good), and the like. It is also helpful to be able to estimate (a.k.a. “approximate”) the result of a set of calculations for, say, solving problems in science. This technique is addressed in any number of introductory physics textbooks. If a problem asks, for example, what the volume is of a certain region of space, giving length, width, and height data each to several digits, you can estimate the answer by rounding off the data to one significant digit (i.e., to whole numbers), and almost do the problem “in your head” (by multiplying, dividing, adding, subtracting the whole numbers). Even if you use a calculator to “punch in” the original data, you might press the wrong button or sequence of buttons, resulting in a wrong answer whose incorrectness you can easily detect by comparing the calculator display with your approximate answer. I hope this answers your question. PMF
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