If division by 0 is undefined ...?
81372
I don't mean to be rude, but none of the above answers are quite right, and some are actually quite wrong. 0/0 is not undefined, 0/0 is not always infinity, 0/0 never means "nothing" (in fact, it is used quite frequently in calculus), and although there is no general way to define 0/0, it most certainly can be defined given enough information in a problem.\n\nNormlparker had it closest, when discussing the nature of division. In other words, 10/2 means take 10 things and divide them into 2 equal groups; when you do, each of those groups will contain 5 things, so 10/2=5. Dividing by 0 doesn't conceptually make sense. You can't take 10 things and divide them into no groups. That answer is UNDEFINED. (Captial letters for vocabulary emphasis, not because I am yelling.)\n\nNow dividing 0 by 0 is a different issue, because you can surely take no things and make them into no groups. However, what's the size of those nonexistent groups? It's not infinity, nor is it undefined, as some previous posters have said. Dividing 0 by 0 is an INDETERMINATE value, and it's exactly as you said--it could equal just about anything.\n\nTake for instance the fraction (x^2+2x-3)/(x-1). If you plug x=1 into the fraction, you get 0/0, but the function is definitely not infinity when you get close to x=1. If you factor the numerator, the fraction becomes [(x+3)(x-1)]/(x-1). Cancel those common factors and you get x+3. In other words, this fraction (although undefined at x=1) gets very close to x+3=1+3=4. In this case, 0/0 is basically 4.\n\nTo be specific, a non-zero number divided by 0 approaches infinity (or negative infinity), but 0/0 can approach lots of things. However, ANYTHING divided by 0 is not a real number. \n\nWhen you took your equation (0)(0)=0 and divided both sides by one of the 0s on the left side, you actually violated a mathematical principle. Sure you can divide both sides of an equation by any number, as long as you are certain that number is not 0.\n\nSome of the most famous mathematical fallacies are based upon divideng by 0 in a sneaky way. You can prove lots of untrue things (such as 1=2) if you do that, and it's actually kind of fun. I used to do that once a year in my geometry classes to "prove" to my students all math was worthless, and as soon as they got excited, I showed them how I fooled them. They usually didn't care so much, but nerds like me think that kind of stuff is hilarious.\n\nHere are some other indeterminate values that can equal anything: (0)(infinity), 1^(infinity), (infinity)/(infinity).
994648
x / 0\nlike this equation, love is undefined.
892981
since this limit is in a indeterminant form of 0/0 you can apply L'hospital's (sp?) rule\nwhich is taking the derivitive of the top and the derivitive of the bottom and evaluating the limit\n\nso this becomes [1/(1+x)]/1\nwhich is Lim x->0 1/(1+x) \n= 1/1 = 1\n\nedit:\nbah in that case im not sure...\nmaybe try a table of values and show that from each side of zero the limit approaches 1
605811
As Lauren said, it's 1/x.\n\nMemorize this. It will be very useful.
858552
Have you tried these?  Surely you've been told that division by 0 isn't possible, so there's your answer for 7.  I'm not doing any others on Yahoo answers (too many at once), but if you really need help and are willing to do as much as possible for yourself I'll help you if you email h_chalker@yahoo.com.au, but nasty Maths teachers like me won't just hand you 7 answers on a plate!
312174
It seems undefined since for x <= 0 and x != odd number, x^x doesn't work out so well.  If it's x->0+, then it's just 1.
1120057
err unless i'm misreading the question, then the answer is undefined.  the denominator is 0^3 which is 0.  you can't divide by 0.
416203
You divide by 0 when you divide by a-b
997321
Division by 0 is undefined. \n\nIf you divide 4 by 2, you get 2. Reverse the process: 2 multiplied by 2 gives you 4.\n\nThe reason you can't divide by 0 is because you can't multiply 0 by any other number and get a number besides 0.\n\n4 divided by 0 gives you "undefined." That would mean that "undefined" times 0 should equal 4. But that's silly.
784978
Depends on what calculator you use...some are +/- and some are just -. So it depends...Sometimes you have to push 2nd function to get it.
332996
Zero - is it positive or negative?
579155
The first one isn't, because it's undefined when x=4 (assuming the (x-4) is the denominator, not just the x)\n\nThe second one is; it's a horizontal line with no breaks or holes.
443911
I do not think you can.\nSo Bhaskara tried to solve the problem by writing n/0 = ∞. At first sight we might be tempted to believe that Bhaskara has it correct, but of course he does not. If this were true then 0 times ∞ must be equal to every number n, so all numbers are equal. The Indian mathematicians could not bring themselves to the point of admitting that one could not divide by zero. Bhaskara did correctly state other properties of zero, however, such as 02 = 0, and √0 = 0.
344009
No, because it doesn't.\nThere's a number of "proofs" out there that rely on dividing by 0, even when it's not obvious that's what's going on.\nDivide by zero, and you can prove anything!
659301
Zero divided by any number (except zero) is zero.
1137788
Nope, 0/0 could be 1 but it could also be anything else.   Division is the opposite of multiplication and 0 times anything at all, even infinity, is still zero.
891605
undefined , 3(a)+5(0)+5a=0, 3a+5a=0, 8a=0, 0/8