Friday, September 2, 2011

What is Order of magnitude and its Makes use of

By Martin Karl


Order of magnitude is the magnitude of any amount, in which there's a fixed proportion in which the particular class is different from the preceding, or the succeeding class by a fixed worth. This fixed value's in the type of a proportion, and the most typical ratio which is used all around is the power of 10. Therefore, in the commonest way, we will realize that the Order of Magnitude of a value at a specific class, is ten times higher than its preceding class, or ten times less than its succeeding class. One most typical example is the Richter scale. The Richter scale is used to measure the earthquakes, and when we usually say that "an earthquake measuring 7 on the Richter scale has occurred", we fundamentally want to claim that the tremor, which has occurred is 107 times stronger than the tremor on the Richter scale 1'. Like a standard parameter, the Richter scale also uses a parameter of 10, for its order of magnitude.

Typical Uses of Order of Magnitude: An order of magnitude is used to compare the difference on an approximate basis, but the actual difference between the magnitudes is very large. Like we just discussed in the example of quake, the tremor at a range of 3, is a hundred times more powerful than the quake on Richter scale one. The order of magnitude is acquired by the truncation of the value to find the integer part of the logarithm. So , the order of magnitude becomes the power of 10 contained in the number. This value is secured by finding the logarithm of that specific number to the base 10, and if the figure worked out is not integer, then the truncation of the total figure is done, and the integer part of the figure is the Order of Magnitude of that number. Let us think about an example. If the number 4000000 is given to us, then by finding the logarithm of the number, gives us a valuation of around 6.602. So , the common process as said the truncation of the worth gives us six. Hence, the order of magnitude of the number 4,000,000 comes out to be 6.

Order of Magnitude Estimate: An Order of Magnitude guesstimate is alleged to be done of those values, which are too high, to guess their Order of Magnitude. So , an estimate of the order of magnitude is to be conducted. Let's consider an example for this as well. How, to consider an order of magnitude for human population, which lies between 3 and 30 bn.. It is ten bn..

Massive Numbers: For large numbers, double or super logarithm, can be conducted. The first logarithm gives a really large digit, and the second logarithm gives the category of very large numbers.

Extremely Little Numbers: For very small numbers, neither of the methods can't be suited.

But a reciprocal technique can be thought about for it.




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