Thursday, June 6, 2019
If Division by Zero Were Allowed Essay Example for Free
If Division by Zero Were Allowed EssayDivision is a basic mathematical operation by which we divide a number called dividend by a nonher number called the divisor. This social class functions is very simple and is the base of many complex mathematical functions. But on that points a very simple division which is indefinable, and that is the division of a number by cipher, which is indefinable. We have been studying through out student look that division of a number is indefinable (infinite). But still if division by zero were standed than what kind of impacts it would have on our daily lives and surroundings?If this were allowed it would extend new breakthroughs in the realm of science, and also at the same time start many confusions and errors. The world of science and technology would be going below a serious and altering change, having deep impact on almost anything related to these fields. Impact on Mathematics Mathematics revolves around its basic operations, additio n, subtraction, propagation and division. All complex and simple mathematical operations include the to a higher place basic operations. With out them solution would not be possible.It has been ruled out that division of a number by zero is indefinable (infinite). By infinite we mean that it cannot be defined Let us suppose if we temporarily allow this what kind of possibilities what would we get? Lets take a simple example in which we take the side by side(p) case. Let us consider the following equations, A/B = C We can consider A = 9 B = 0 Then the above equation can be indite as, 9/0 = C If we consider division by zero as possible then we can make the following changes, 9 = 0*C 9 = 0Now from the above example we have just considered the possibility that a number can be divided by zero and taking this hypothesis we moved forward with its testing, but in the end a very baffling result is achieved 9 = 0 This is not possible because the number 9 is something substantial and an am ount which cannot be nullified in an instant. Hence this proves that whenever a theres division by zero there will always be an anomaly, and so it can be inferred that the answer given will always be impossible. Impacts on TechnologyOur technologically advanced world is based on computing device technology. The computer contains an Arithmetic Logic Unit (ALU). This unit handles all the mathematical operations performed in a computer. Even the computer programs are based on these operations. Computers cant divide anything by zero, because they have been programmed not to do so. So if a computer were ever to divide something by zero we would be in big trouble keeping in view the original programming of the computers. Just imagine this possibility, world wide computer crashes would occur. Chaos would spread by the loss of data.Planes, satellites, appliances would not work. Imagine what kind of life would be there. Navigational equipment might not work properly which could lead to man y disasters like airplane crashes, accidents. This has happened before when On September 21, 1997, a divide by zero error in the USS Yorktown caused all the computer system on the ship to malfunction and the boat stopped in the middle of an ocean . In the present built in bed of our technological development, we are dependent on our computers and other such gadgets so a loss of them would be a major blow overall.Impacts on natural philosophy When we study physics we may get many laws and mathematical theories in which division of a quantity with the other is made. In all these laws whenever we pose a problem of division of a physical quantity with zero, we always infer it as infinite. If this zero division would be made possible the current laws would be changed as to impossible to be in actual. We take an example of Density. Mathematically, D = m/v (Density D, mass m, volume v) We assume that volume (v) goes to zero, D = m/0 If this division is possible we can write above as,D* 0 = m This would give, 0 = m This is not possible as per law of nature of Conservation of Mass, which states matter can n both be created nor destroyed. Again it was seen that division by zero is ambiguous and if allowed it would lead to the impossible and impractical results. In the above stated example we clearly see that a mass can never be zero, the reason being is that a mass is weight and for it to exist it would have to have some weight and thus it is proved that it cant be divided. Impact on Commerce and BankingIf a bank employee or computer accidentally divides your bank balance by zero think what would happen. Wouldnt your balance become something inexhaustible? You could use all the money getable in the world and not be aware of it. Similarly in commerce, if during purchase buying of goods this mistake would occur. Either the purchaser or the seller would face bankruptcy. So the worst possible economic chaos would be occurring in the field of commerce and banking sector as only a sole party, either the bank or individual consumers, would be facing all the burden and humiliation of the bankruptcy.
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