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Friday, September 2, 2011

What is Order of magnitude and its Makes use of

By Martin Karl


Order of magnitude is the size of any amount, in which there is a fixed ratio in which the particular class is different to the preceding, or the succeeding class by a fixed price. This fixed value is contained in the form of a ratio, and the commonest proportion which is employed all around is the power of ten. Hence, in the most typical way, we can decide that the Order of Magnitude of a value , at a particular class, is 10 times higher than its preceding class, or 10 times less than its succeeding class. One most common example is the Richter scale. The Richter scale is used to measure the tremors, and when we frequently say that "an quake measuring 7 on the Richter scale has occurred", we basically desire to say that the earthquake, that has took place is 107 times stronger than the earthquake on the Richter scale 1'. Like a common parameter, the Richter scale also uses a parameter of 10, for its order of magnitude.

Common Uses of Order of Magnitude: An order of magnitude is used to compare the difference on an approximate basis, but the particular difference between the magnitudes is very big. Like we just debated in the example of tremor, the quake at a measure of 3, is 100 times stronger than the earthquake on Richter scale one. The order of magnitude is obtained by the truncation of the value , to find the integer part of the logarithm. Therefore the order of magnitude becomes the power of 10 contained in the number. This value is procured by finding the logarithm of that particular number to the base ten, and if the figure figured out isn't integer, then the truncation of the total figure is done, and the integer part of the number's the Order of Magnitude of that number. Let's think about an example. If the number 4000000 is given to us, then by finding the logarithm of the number, gives us a value of around 6.602. Hence the common process as stated , the truncation of the value gives us 6. Therefore, the order of magnitude of the number 4,000,000 comes out to be six.

Order of Magnitude Estimate: An Order of Magnitude guess is said to be done of those values, which are too high, to guesstimate their Order of Magnitude. Therefore an appraisal of the order of magnitude is to be conducted. Let us consider an example for this also. How, to consider an order of magnitude for human population, which lies between 3 and 30 bln. It is ten bill.

Extremely Big Numbers: For very large numbers, double or super logarithm, can be conducted. The 1st logarithm gives a very big digit, and the second logarithm gives the class of massive numbers.

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

Nevertheless a reciprocal strategy can be given consideration for it.




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