![]() ![]() ![]() The pointer moves up and down so as to display the measured value on this scale. Although we express these values numerically, it would be a mistake to regard them as the kind of pure numbers described above.Ĭonfusing? Suppose our instrument has an indicator such as you see here. The other kind of numeric quantity that we encounter in the natural sciences is a measured value of something– the length or weight of an object, the volume of a fluid, or perhaps the reading on an instrument. The first of these you ever learned were the counting numbers, or integers later on, you were introduced to the decimal numbers, and the rational numbers, which include numbers such as 1/3 and π (pi) that cannot be expressed as exact decimal values. What we ordinarily think of as a "number" and will refer to here as a pure number is just that: an expression of a precise value. In science, there are numbers and there are "numbers". Distinguish between the accuracy and the precision of a measured value, and on the roles of random and systematic error. ![]() Calculate the absolute and relative precisions of a given measurement, and explain why the latter is generally more useful.State the principal factors that affect the difference between the mean value of a series of measurements, and the "true value" of the quantity being measured.Find the mean value of a series of similar measurements.Give examples of random and systematic errors in measurements.Give an example of a measured numerical value, and explain what distinguishes it from a "pure" number. ![]()
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