With out "0" what will happen in mathematics?
827218
Mathematics wouldn't be as advanced as it is today without the zero. This is because you may have noticed that 0 is very 'powerful' meaning that if for example i had the following expression:\n\n999999x8575x75238x652938x753928x7539042x34173x0\n\nthe answer would be 0. \nIt is this type of number that helps in simplifying alot of equations in calculus. Believe me, without the number 0, planes would not have been to fly!
662225
zero is an integer.\nAn integer is any whole number (positive or negative), including zero.
306774
Anything divided by 0 is actually undefined, not infinity or 0. When you think about how that works, it makes sense:\n\nDividing a numerator by smaller numbers makes your number larger. Divide 4 by 2, you get 2. Divide 4 by 1, you get 4. Divide 4 by 0.5, you get 8. And so on until you are dividing by a number so small it's pretty close to 0. The overall number gets larger and goes off into infinity.\n\nBut, if you divide a negative number in the same manner, your number gets smaller. -4 by 2 is -2, -4 by 1 is -4, -4 by 0.5 is -8, etc. As you approach 0, your numbers go off into negative infinity.\n\nYou'll have the same weird effect if you divide by negative numbers - a positive divided by an increasingly smaller negative will yield negative infinity, and a negative divided by an increasingly smaller negative will yield positive infinity.\n\nYou can't have it both ways - dividing by zero yields both a positive and negative infinity! So someone a long time ago decided that since a number can't really have two values, it will be undefined.
881442
It is false no solution\n\nLook at \n Example 5:  on this site\n http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut14_solve.htm\n \nWhere did our variable, y, go???  It disappeared on us.  Also note how we ended up with a FALSE statement, 0 is not equal to 11.  This does not mean that y = 11 or y = 0.  \nWhenever your variable drops out AND you end up with a false statement, then after all of your hard work, there is NO SOLUTION. \n\nSo, the answer is no solution.
1102494
0/0 is a discontinuity.\n\nIt is not specifically defined in the axioms of normal arithmetics. but, you can modify any set of axioms according to your own need, as long as they remain consistent and do not self contradict. U can define 0/0 to be 0, or u can define it to be 1 or 2 or 3... but before u proceed ahead, u have to make sure, by defining it as 1, your axioms do not self contradict. say,\n\n0/0=1\n\nwhat is (0/0) x0?\n\nif normal arithmetical rules apply... that (a/b)c=(ac)/b\n\n(0/0)x0=1x0=0\n(0x0)/0=0/0=1\n\nby setting 0/0=1, it contradict one of the rules, (a/b)c=(ac)/b, hence, in light of the original axioms, u cannot have 0/0=1.\n\nThe point is... as long as other rules r not broken, u can add definitions to mathematical objects to create a new object. U can still define 0/0=1, and change the (a/b)c=(ac)/b rule. u then have to make sure by removing this, other contradictions don't arise. Or u can set a rule saying, (a/b)c=(ac)/b applies except when (0/0)x0. again, u gotta check for contradictions. u can adjust everything until finally u have a new mathematical object that is wholly consistent with 0/0=1. Then, with this object, 0/0 is defined. Now, however, this new object would not behave like the ordinary number field we r familiar with.
332996
Zero - is it positive or negative?
802753
"Division by Zero in mathematics is undefined because no definite meaning can be attached to this operation. To understand this, notice that a/0=b must (if it means anything) mean the same as a=0•b.\nHowever, if a≠0 then a=0•b is not true for any b; and if a=0 then a=0 is true for every b. This tells us that a/0 cannot be assigned a definite value- and therefore has no meaning."    --George Simmons
621381
b) Replace y with 0\n(100+x)^0 = 2*100^0\n1 = 2*1\n1 = 2\nThis implies that y cannot be zero.\nc) Replace x with 0.\n(100+0)^y = 2*100^y\n100^y = 2*100^y\n0 = 2*100^y - 100^y\n0 = 100^y\nThis is never true.\nThis implies that x cannot be zero.\na) The graph looks similar to the graph of y = 1/x
127821
"Dividing by nothing" doesn't mean you would do nothing.  It means, "how many piles of nothing (zero) would you have to add up to get to the original number?".  \n\nHow many piles of zero would you have to have in order to have 2?  The answer isn't even infinity, because you would still never have 2.  So it's not possible, and 2/0 can't be represented by any number.
489205
0 is the cardinal of the empty set. Thats the mathematic rigurous definition. Before that, zero was defined conceptualy, as "no object", "nothing", "none", in order to define the quantity/measure of "nothing".
172997
ZERO\n\nand ironically not everything is true, you have to study it and find out for yourself
8564
It looks to me that the integer part means that you take the integer that comes before the given number if the given number is not an integer thus 0 would be the correct answer.
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.
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"
917328
Gopal is correct, except (a) he meant x =  -1should be excluded from the domain, and (b) x = 0 should also be excluded from the domain (since g(0) is undefined).
176780
I have a different point of view to the post above. If the probability of the given event occuring is 0, the the probability P(A|B) is a nonsense sentence and undefined, in the same manner as division by 0. There's nothing wrong with the existence of meaningless statements.\nThe aforementioned probability being zero is only enforced if you change the probability space to that of P(A AND B) which can easily be argued to be zero.
665836
This question already discussed here so many times. For your information the answer is: "Indeterminate". \n\nTo say that "0/0" is an indeterminate form does not just mean that "0/0" by itself can represent any number, or may represent no number. Those points are true, in a certain sense, but of limited practical significance when stated in those terms. Unlike "0/0", "1/0" is not an indeterminate form.\n\nIt means also that the ratio of two functions f and g that approach zero can approach any member of a range of well-defined values, depending on which functions f and g are. Whether such a value exists, and what it might be, depends on how the functions approach zero.\n\nIn more formal language, the fact that the functions f(x) and g(x) both approach 0 as x approaches some limit c, is not enough information to evaluate the limit\n\nlim f(x)/g(x)\nx->c\n \nThat limit could be any number or plus or minus infinity, or might not exist, depending on what the functions f and g are.\n\nBy contrast "1/0" is not an indeterminate form because there is no range of different values that f/g could approach if f approaches 1 and g approaches 0. (The absolute value of the ratio will always approach positive infinite and so is not considered indeterminate.)