Does the number zero really exist?
361432
In scientific explanation\nThe basic particle of a matter is atom. Its also divisible but then the properties of that matter will not remain.\n\nThere can also be said every matter is from electron, protons and charge less neutrons. But then it will be devised into light.\n\nIf you look in the vacuum(absence of anything), it should be neither atom nor protons nor something...it should be "ZERO"(which is used to prove a decision "False" or absence of anything).\n\nSay "you have no answer".\nThat means you have zero answer.Think of it, keep trying and make another theory. :-D
664717
I'm not sure what you are asking, but yes, there are an infinite number of numbers between 1 and 0.  \n\nIn fact, the whole numbers are the smallest group of infinities on the number line.  The infinite set of irrational numbers far exceed the whole numbers.\n\nTherefore, if you were to have all of the numbers on a number line, and you were to throw a dart, the probability of you hitting a whole number with that dart is basically zero!
483994
Zero, zip, zilch - how often has a question been answered by one of these words? Countless, no doubt. Yet behind this seemingly simple answer conveying nothing lays the story of an idea that took many centuries to develop, many countries to cross, and many minds to comprehend. Understanding and working with zero is the basis of our world today; without zero we would lack calculus, financial accounting, the ability to make arithmetic computations quickly, and, especially in today's connected world, computers. The story of zero is the story of an idea that has aroused the imagination of great minds across the globe.\n\nWhen anyone thinks of one hundred, two hundred, or seven thousand the image in his or her mind is of a digit followed by a few zeros. The zero functions as a placeholder; that is, three zeroes denotes that there are seven thousands, rather than only seven hundreds. If we were missing one zero, that would drastically change the amount. Just imagine having one zero erased (or added) to your salary! Yet, the number system we use today - Arabic, though it in fact came originally from India - is relatively new. For centuries people marked quantities with a variety of symbols and figures, although it was awkward to perform the simplest arithmetic calculations with these number systems.\n\nThe Sumerians were the first to develop a counting system to keep an account of their stock of goods - cattle, horses, and donkeys, for example. The Sumerian system was positional; that is, the placement of a particular symbol relative to others denoted its value. The Sumerian system was handed down to the Akkadians around 2500 BC and then to the Babylonians in 2000 BC. It was the Babylonians who first conceived of a mark to signify that a number was absent from a column; just as 0 in 1025 signifies that there are no hundreds in that number. Although zero's Babylonian ancestor was a good start, it would still be centuries before the symbol as we know it appeared.\n\nThe renowned mathematicians among the Ancient Greeks, who learned the fundamentals of their math from the Egyptians, did not have a name for zero, nor did their system feature a placeholder as did the Babylonian. They may have pondered it, but there is no conclusive evidence to say the symbol even existed in their language. It was the Indians who began to understand zero both as a symbol and as an idea. \n\nBrahmagupta, around 650 AD, was the first to formalize arithmetic operations using zero. He used dots underneath numbers to indicate a zero. These dots were alternately referred to as 'sunya', which means empty, or 'kha', which means place. Brahmagupta wrote standard rules for reaching zero through addition and subtraction as well as the results of operations with zero. The only error in his rules was division by zero, which would have to wait for Isaac Newton and G.W. Leibniz to tackle.\n\nBut it would still be a few centuries before zero reached Europe. First, the great Arabian voyagers would bring the texts of Brahmagupta and his colleagues back from India along with spices and other exotic items. Zero reached Baghdad by 773 AD and would be developed in the Middle East by Arabian mathematicians who would base their numbers on the Indian system. In the ninth century, Mohammed ibn-Musa al-Khowarizmi was the first to work on equations that equaled zero, or algebra as it has come to be known. He also developed quick methods for multiplying and dividing numbers known as algorithms (a corruption of his name). Al-Khowarizmi called zero 'sifr', from which our cipher is derived. By 879 AD, zero was written almost as we now know it, an oval - but in this case smaller than the other numbers. And thanks to the conquest of Spain by the Moors, zero finally reached Europe; by the middle of the twelfth century, translations of Al-Khowarizmi's work had weaved their way to England.\n\nThe Italian mathematician, Fibonacci, built on Al-Khowarizmi's
808543
In the number system zero is considered to be neither positive  nor negative.So if you speak of  negtive zero,it is simply a non-existing thing.And you can always fit into it not only thre beauties but also hundreds of uglies and thousands of idiots.
600176
This is a Frequently Asked Question. Following is my previous answer:\n\nThis hypothesis is false:\nSuppose 0/0 = 1. Since 1 is the multiplicative identity, this implies (0/0)*a = a for all real numbers a. But (0/0)*a = (0*a)/0 = 0/0 = 1. This contradicts our hypothesis that 0/0 is the multiplicative identity, so the hypothesis must be false (proof by contradiction). QED\n0/0 is indeterminate as a limiting form. See http://mathworld.wolfram.com/Indeterminate.html .\nAs an algebraic expression over the real field, it is undefined: http://mathworld.wolfram.com/Undefined.html .\nThis is a Frequently Asked Question; the following is my previous answer:\n\nThis question may be asked so frequently (along with the infamous 0.999...) because no concrete axioms or definitions are ever given for the real number system until one studies higher algebra or real analysis; it is assumed that everyone knows what a real number is until then. The proliferation of these questions show that this assumption is no good.\nFor the sake of conciseness, I will not define what a real number is here, as only the algebraic structure of the real numbers is necessary to answer this question. The algebraic structure of the real numbers is what we call a field. A field is an algebraic structure that follows a finite set of axioms. These axioms define what statements are true and false in this system based on the laws of logic. You can find the field axioms here: http://mathworld.wolfram.com/Field.html .\nEach line is preceded by "For all real numbers a, b and c, the following is true...". Note that the proper form of the additive identity and multiplicative identity is that it prescribes the existence of some number 1 and some number 0 such that the equations hold. These same numbers are then used to prescribe the existence of additive and multiplicative inverses.\nDivision a/b is just shorthand for a*(b^(-1)). So in your question, you are looking for 0*0^(-1). It is easy to show that there is no such number as 0^(-1) in any field. Suppose 0^(-1) exists.\nThen 0*0^(-1) = 1. But multiplying both sides by 0^(-1) gives 0 = 0^(-1), which means 0*0 = 0 = 1. This is obviously false.\nSuppose 0 = 1. 0*a = a for all numbers a. But 0*a = (1 + (-1))*a = a + (-a) = 0. Thus 0 is not equivalent to 1 and our sole assumption that 0^(-1) exists must be false. Thus the expression 0*0^(-1) is undefined in a field.\nProof by contradiction is very powerful for many types of statements.\nAs for trying to define 0/0 using limiting behavior, note that you are evaluating a limit over a plane of the function f(x,y) = x/y. As we approach (0,0) along the x-axis, this limit is 0, but as we approach (0,0) along the y-axis, the limit diverges. Thus, the limit of f(x,y) at (0,0) does not exist, so f(0,0) remains undefined with no continuous way to complete it. The limit is not indeterminate for this function; it does not exist.\nThe expression 0/0 is said to be indeterminate as a limiting form because one can have many functions that approach the form 0/0 that have convergent limits of different values. For example, the limit as x approaches 0 of [sin(x)]/x yields the indeterminate form 0/0, but L'Hopital's rule reveals the limit to be 1. Similarly, multiplying the above limiting form by any real number will yield that number as the limit, even though the form is still 0/0. The expressions listed on this page: http://mathworld.wolfram.com/Indeterminate.html are called indeterminate because they do not have a fixed behavior when studied as limits of expressions.
659301
Zero divided by any number (except zero) is zero.
540459
something close to zero
189562
This is not simply a quirk of our usual number system: in any number system that satisfies certain basic properties such as distributivity and associativity, 0 multiplied by anything will give 0. So if you start with any non-zero number x, there cannot be any number which when multiplied by 0 gives you x, so there can be no answer to the question "what is x divided by 0". Mathematicians say that "division by 0 is undefined", meaning there is no way to define an answer to the question in any reasonable or consistent manner.
647936
The answer is 1 - you're raising a quantity to a power of 0, which always results in 1. The quantity within the parentheses contains no division by zero, so I know it's a real number, too.
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0 ( Zero )\n\nThe most importanat number which enables us to progress.
885957
You have probably figured out that no number will make this statement true. But don't forget about zero. \nYou will also find problems where even zero does not work. In those cases, "no solution" is the correct answer.
1040908
Zero is not that intuitive and was ‘invented’ for at least two reasons (and not at the same time). It is a place holder like in 10 but we cam also say that 10 is X in which case we do not need a place holder. It other application it represents 'nothing'. What is nothing? cayou imagine 0 pencils? What color are they, what shape? If you think carefully it becomes an uncomfortable concept. It took zero to appear before mankind for quite sometime.
682438
Infinity.Any number divided by 0 is infinity.
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VERY GOOD Question!!!\nI don't know, but i never thought abou it either.\n\nwell if you only need to write 0 i guess you don't write anything. and for like 10 you just write an x so i guess there is not a zero because you don't really need it.\n\ni hope i was help!
66821
You can't divide anything by zero, so the answer mathematicians give is that 1/0 is "undefined". \n\nIt is very tempting to think that 1/0 = infinity but there is a consequence...\n\nIf 1/0 = infinity, and 0 times infinity = 1, then what is 2/0? Infinity? \n\nIf we say "yes", then we have to say that 0 times infinity = 1 AND also = 2 (and by implication also 3, 4, 5...). \n\nBut remember that anything times 0 is 0. It only takes the simplest of arithmetic to imagine an empty apple box, and to say "you can ask me for as many as you like - even infinity - but I can only give you zero apples"
230430
The square root of -1 has no relation to zero.  It requires an imaginary number.  Division by zero is, unfortunately for our number system, impossible.  You cannot cut something into zero pieces, and in fact the very statement makes no sense.
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We say that division by zero is undefined, for it is not consistent with division by other numbers.\n\nHere's a little experiment for you to try on your calculator. Observe the output when you try the following set of calculations:\n       1/1\n       1/.1\n       1/.01\n       1/.001\n       1/.0001\n       1/.00001\n       etc... \n\nuntil your calculator can't go any further or you get tired. You should notice that the answers continue getting larger and larger. \nAnother way of thinking of it is to imagine filling a box with apples. Say a box can hold 100 apples. Now try filling it with apples that are half the size of these apples. You can put 200 in the box. Now imagine a special, magic apple that takes up no room at all. How many can you put in the box?\n\nWell, the answer is... there is no answer! That is why mathematicians refer to numbers that are divided by 0 as "undefined." Some people tend to think of them as being infinite, but this isn't exactly true. There simply is no answer.