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I'm Lame. That's all.
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Get your mathmatics straight. Dividing by 0 is only undefined if it is 0 which you are dividing. Any positive number divided by 0 is positive infinity, any negative number divided by 0 is negative infinity.
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Any number other than 0 divided by 0 is undefined. 0 divided by 0 is not undefined. 0 divided by 0 is INDETERMINATE. Let me show you how this is with a few common patterns. 5/5=1 4/4=1 3/3=1 2/2=1 1/1=1 0/0=1? 5/0=Undefined 4/0=Undefined 3/0=Undefined 2/0=Undefined 1/0=Undefined 0/0=Undefined? 0/5=0 0/4=0 0/3=0 0/2=0 0/1=0 0/0=0? So according to those three patterns, 0/0 is 0, 1, and undefined. This is why 0/0 is considered indeterminate. By the way, don't bother arguing this with me, I've done research on it(very recently actually, since I just finally started learning some calculus in my calculus class and we're doing limits.) This positive infinity and negative infinity you mention are not numbers, which is probably why anything divided by 0 is undefined, since you can't really say WHAT infinity is. |
http://mathforum.org/dr.math/faq/faq.divideby0.html
For one thing, when you divide one number by another, you expect the result to be another number. Look at the sequence of numbers 1/(1/2), 1/(1/3), 1/(1/4), ... . Notice that the bottoms of the fractions are 1/2, 1/3, 1/4, ..., and that they're going to zero. If there's a limit to this sequence, we would take that number and call it 1/0, so let's see if there is. Well, the sequence turns out to be 2, 3, 4, ..., and that goes to infinity. Since infinity isn't a real number, we don't assign any value to 1/0. We just say it's undefined. But let's say we did assign a value. Let's say that infinity is a real number, and 1/0 is infinity. Then look at the sequence 1/(-1/2), 1/(-1/3), 1/(-1/4), ..., and notice again that the denominators -1/2, -1/3, -1/4, ..., are going to zero. So again, we would want the limit of this sequence to be 1/0. But looking at the sequence, it simplifies to -2, -3, -4, ..., and it goes to negative infinity. So which would we assign to 1/0? Negative infinity or positive infinity? Instead of just assigning one willy nilly, we say that infinity isn't a number, and that 1/0 is undefined. What is the value of 0/0? (Is it really undefined or are there an infinite number of values?) There's a special word for stuff like this, where you could conceivably give it any number of values. That word is "indeterminate." It's not the same as undefined. It essentially means that if it pops up somewhere, you don't know what its value will be in your case. For instance, if you have the limit as x->0 of x/x and of 7x/x, the expression will have a value of 1 in the first case and 7 in the second case. Indeterminate. So, WetWired, I suggest you get your mathematics straight. IWINGGNORE. p.s. penny wins too, he was right. |
So was my calculator, bitch.
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0 divided by 0 is "Not a Number"
There are maths where you are forced to deal with things divided by zero. Just because you havn't encountered them yet, does not mean that I am wrong. |
And to think, all this started just because I wondered what 0 divided by 3 approximately 3 billion is...makes you kinda proud.
And people say I can't start conversations with substance!!! |
You said 0/0 is undefined, which is incorrect, it's indeterminate. There is a difference between undefined and indeterminate. You also said that a positive number divided by 0 is positive infinity and a negative number divided by 0 is negative infinity. While that could be considered truth, you can't put a value on infinity, so it would be undefined. At most what you said in your post was half true.
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By the way, if there's something that I've possibly not yet learned, tell me and I'll ask my math teacher about it. He seems to know everything there is to know about math. I've discussed stuff like this with him on multiple occasions.
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Inifinty is a concept...
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It's a condition of numbers... or term for an undending number sequence.
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Oh man... so much math... I need some rest... SHAQONDA! COME GIVE ME A BLANKET AND A PILLOW!
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Infinity is not a term for a sequence. It's a number.
I find it fascinating almost to watch people who don't know about a subject argue about it. Mathematics goes beyond what you've learned. Otherwise, they'd give you a doctoral degree in mathematics right now. To set everyone straight: Both positive and negative infinity exist, and there is a difference between the two. In traditional mathematics, dividing a number by 0 isn't done. You can call it undefined if you want. If you wanted to be correct, however, you would say that it simply isn't done. If you had an actual application for it, you would use a limit of 0 instead of the actual number and reach infinity as an answer. |
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