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Answer: Infinity is not a real number, and even if it were, it wouldn’t be the answer to dividing something by zero. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined. 22/09/ · The Institute of Reproducing Kernels is dealing with the theory of division by zero calculus and declares that the division by zero was discovered as 0/0=1/0=z/0=0 in a natural sense on The result shows a new basic idea on the universe and space since Aristotelēs (BC – BC) and Euclid (BC 3 Century –), and the division by zero is since Brahmagupta ( – ?). 10/12/ · You are right that zero divided by any number (except zero itself) is zero. Put more mathematically: 0/n = 0 for all non-zero numbers n. You get into the tricky realms when you try to divide by zero itself. It’s not true that a number divided by 0 is always undefined. It depends on the problem. There we have it: one divided by zero equals unsigned infinity. And, by extension, so does almost any other number divided by zero (with the sole exception of \(0\div 0\), which we’ll talk about later).

The reason that the result of a division by zero is undefined is the fact that any attempt at a definition leads to a contradiction. To begin with, how do we define division? The ratio r of two numbers a and b :. That’s a common way of putting things, but what’s infinity? It is not a number! Why not? Because if we treated it like a number we’d run into contradictions. Ask for example what we obtain when adding a number to infinity.

The common perception is that infinity plus any number is still infinity. If that’s so, then. That in turn would imply that all integers are equal, for example, and our whole number system would collapse. So, in that case , what does it mean to divide by zero?

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Sign in Register. News Guardian. Recent queries. Send a query. Lucky dip. Any answers? Nooks and crannies. Semantic enigmas. The body beautiful. Red tape, white lies. Speculative science. This sceptred isle. Root of all evil.

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About us Contacts Popular questions Resent questions. What is infinity divided by 0? Infinity is not a real number, and even if it were, it wouldn’t be the answer to dividing something by zero. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined. Taking this into account is 1 divided by 0 infinity or undefined?

But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate. By analogy you ask is Infinity over 0 indeterminate? This is not an indeterminate form, because it’s clear what happens. If f x approaches 0 from above, then the limit of p x f x is infinity. If f x approaches 0 from below, then the limit of p x f x is negative infinity.

Accordingly, the question is what is infinity divided by 1?

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However, as the division by zero we will consider the value of. We will see that this new definition is valid widely in. Therefore, the division by zero will give great impacts to calculus, Euclidean geometry, analytic geometry, differential equations, complex analysis at the undergraduate level and to our basic idea for the space and universe. We have to arrange globally our modern mathematics at our undergraduate level.

We would like to show clearly these facts in this book. The content is at the undergraduate level. Apparently, the common sense on the division by zero with a long and mysterious history is wrong and our basic idea on the space around the point at infinity is also wrong since Euclid. Our mathematics is also wrong in elementary mathematics on the division by zero. This book is elementary on our division by zero as the first publication of books for the topics.

The contents have wide connections to various fields beyond mathematics. The author expects the readers to write some philosophy, papers and essays on the division by zero from this simple source book.

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Wiki User. Registered users can ask questions, leave comments, and earn points for submitting new answers. Already have an account? Log in. Any number apart from 0 divided by 0 is equal to infinity. It’s because any number divided to 0 is undefined. Undefined: You cannot divide by zero. You CAN’T divide by zero. No, zero divided by anything is considered ‚undefined‘ which means there is no answer.

However, the answer would be zero, not 0. You can’t share something by 0 people. Ask Question. See answer.

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If you’re seeing this message, it means we’re having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Login Sign up Search for courses, skills, and videos. Math Algebra 1 Algebra foundations Division by zero. Why dividing by zero is undefined.

The problem with dividing zero by zero. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript In the last video we saw why when we take any non-zero number divided by zero why mathematicians have left that as being undefined. But it might have raised a question in your brain. What about zero divided by zero?

Isn’t there an argument why that could be defined?

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Join Stack Overflow to learn, share knowledge, and build your career. Find centralized, trusted content and collaborate around the technologies you use most. Connect and share knowledge within a single location that is structured and easy to search. Suppose you want to calculate the male—female ratios for various school clubs, but you discover that the following query fails and issues a divide-by-zero error when it tries to calculate ratio for the Lord of the Rings Club, which has no women:.

You can use the function NULLIF to avoid division by zero. NULLIF compares two expressions and returns null if they are equal or the first expression otherwise. You can at least stop the query from breaking with an error and return NULL if there is a division by zero:. However, I would NEVER convert this to Zero with coalesce like it is shown in that other answer which got many upvotes. This is completely wrong in a mathematical sense, and it is even dangerous as your application will likely return wrong and misleading results.

EDIT: I’m getting a lot of downvotes on this recently Some of my answer was addressed to concerns like that of Edwardo, in the comments, who seemed to be advocating returning a 0. This is the case I was railing against. ANSWER: I think there’s an underlying issue here, which is that division by 0 is not legal. It’s an indication that something is fundementally wrong.

## Auszahlung dividende volksbank

1. Math = apples, apparently. If we’re going to attempt to figure out how we can divide by zero, we need to first get an idea of why we can’t or so they say.. To begin with, when you first learn about division, it’s usually in the context of wahre-wahrheit.de, you’ve got ten apples (because for some reason it’s always apples or cookies or something) and you want to share them equally. 26/01/ · because a fraction means the numerator divided by the denominator. whenever you take zero and divide it by something you will always get zero Ex. 0/4 = 0 0/ = 0 0/ = 0.

Back in January, I discussed the issue of division by zero. There is a special case of that that causes even more trouble, in every field from arithmetic to calculus: zero divided by zero. Is the result 0, or undefined, or 1? The first issue is to clarify those three rules. And in fact, assuming any value leads to the same contradiction — unless you are willing to allow all numbers to be equal!

For that reason, we have to say that it is simply undefined, so we can change that second rule back:. Doctor Shawn referred to our FAQ on division by zero , explaining that defining it would lead to contradictions; Jon came back with an attempt to avoid contradictions be declaring that zero times anything other than 1 is undefined. I responded,. This is perhaps the simplest such contradiction. It has a more nuanced meaning in calculus, as I next explained:.

If that expression had one specific value, that would have to be the answer — but it turns out that the answer could be absolutely anything, depending on the particular functions involved. Some students learn a little about the ideas I just described, called limits, and get a wrong impression.