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Rebuttal: 0 0 0 divided by any number is 0. 0. 0. Reply: This is true for any nonzero denominator, but dividing by 0 0 0 is not allowed no matter what the numerator is. 05/07/ · What is 0 divided by 0? – zero divided by zero “You can not divide by zero!” – most students learn this rule by heart, without asking questions. All children know what “it is impossible” and what will happen if, in response to it, ask: “Why?” But in fact, it is very interesting and important to know why it is impossible. Zero Divided by Zero. That zero divided by zero may simply be any quantityis implied by the following chart. This would make zero/zero an indeterminable quantity in its own terms, but determinable in the context of other information. But on its face, the diagram raises a . Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. In , Mahāvīra unsuccessfully tried to correct Brahmagupta’s mistake in his book in Ganita Sara Samgraha: „A number remains unchanged when divided by zero.“.
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. Consequently, 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. With allowance for this, 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. Similarly, what is infinity divided by 1?
As a result, we reached a dead end.
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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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A not-too-serious but under-the-hood slightly serious post about very simple mathematics. And it gave me an excuse to try out WordPress. So, what is the result of? After all, 8 divided by 4 loosely means: the outcome is the number of times 4 fits in 8. We then learn about remainders 7 divided by 4 is 1 and the remainder is 3 or non-integer results 7 divided by 4 is 1.
And as we know, anything multiplied by 0 is 0, so we are confronted with a contradiction:. This is a way the mathematician tells us that a calculation has no result. We learn: you cannot divide something by zero, it is not allowed as a mechanism in algebra. We know that anything except 0 divided by itself is 1, or as the mathematician writes it:. No matter how small we make x, as long as we do not make x 0, the answer is always 1.
We can do the same from the other side of 0: , , , and so forth, leading to:. For most of us who were interested in this in the first place, this analysis burns itself into our mind. And we walk away with the feeling that — while it is illegal to divide by 0 — there is a special case: 0 divided by 0 is 1. But we have been tricked, because the answer was provided under the provision that it was not valid for x equal to 0.
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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. Undefined: You cannot divide by zero. Zero and 10 can be divided evenly by Is 9 closer to 0 or 10? Any number cannot be divided by 0. Makes absolutely no sense. Zero divide by zero is zero. Any number divided by zero is zero
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Objective: Accumulating evidence indicates that zero divided by zero is equal to one. Still it is not clear what number theory or algebra is saying about this. Methods : To explore the relationship between the problem of the division of zero by zero and number theory, a systematic approach is used while analyzing the relationship between number theory and independence. Result: The theorems developed in this publication support the thesis that zero divided by zero is equal to one.
Furthermore, it was possible to define the law of independence under conditions of number theory and algebra. Conclusion: The findings of this study suggest that zero divided by zero equals one. Zero Divided by Zero , Number Theory , Algebra , Independence. The question of the nature of independence and the plausibility of scientific methods and results with respect to some theoretical or experimental investigations of objective reality is many times so controversial that no brief account of it will satisfy all those with a stake in the debates concerning the nature of truth and its role in accounts of classical logic and mathematics.
Many times scientific conclusions rest on mathematics which itself is not free of assumptions. There are several distinct ways in which a great deal of debate of the relationship between mathematics and objective reality can be analyzed. Mathematics as such may enjoy a special esteem within scientific community and is more or less above all other sciences due to the common belief that the laws of mathematics are absolutely indisputable and certain.
In a slightly different way and first and after all, mathematics is a product of human thought and mere human imagination and belongs as such to a world of human thought and mere human imagination.
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Question: Please advise how best to explain the distinction between the solution to ‚zero divided by one‘ and ‚one divided by zero‘. I remember being told in school that one of them is undefined and the other is zero but I’m having difficulty with calculating and explaining it to some highly curious 10 year olds! You have twelve cookies to share equally among three children, how many cookies does each child get?
You have eight cookies to share equally among two children, how many cookies does each child get? You have five cookies to share equally among one child, how many cookies does that child get? You have zero cookies to share equally among one child, how many cookies does that child get? You have one cookie to share equally among zero children, how many cookies does each child get? It is good to ‚make sense‘ out of the choices so that you don’t have to rely on memory.
It is even better if the kids can make sense out of it! This tells us what the first? In the end, what makes something ‚an answer; is that it checks when you multiply. Well, later on, they will learn about more types of numbers, and more possibilities. They can keep looking and asking – are we there yet?
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Please note: „Indeterminate“ is not the same as „Any number you like. You can’t just pick an answer that suits you and continue on with your calculations. Steve wrote: „You can’t just pick an answer that suits you and continue on with your calculations. This proof is for the special case of dividing by zero when the numerator is zero. What, exactly, do you actually mean by „zero does not have a mathematicle sic value?
Please be specific. Ok What do I mean by Zero has no value, think zero is the absence of a value you can not perform a mathematical operation on it you can not put a sign to it it has no existance. A mathematicle valueis any thing but zero ie:- 1,2,3,4,5 etc. You can have an interger value a decimal value, even theoretical value.
BUT NOT a zero value zero is neutral it has no asigned funtion.
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30/06/ · “What is zero divided by zero?” If you ask Siri this question in the iOS 8 operating system, the iPhone’s virtual assistant will cleverly tell you that you’re making no sense. Support our. 01/07/ · This week, social media was abuzz with talk about Apple’s know-it-all digital assistant, and her sassy answer to the impossible query: “Siri, what is zero divided by zero? **The answer is below. iPhone users, we’d recommend asking the question for yourself before scrolling down.**.
Wiki User. In ordinary mathematics, you may not divide by zero. It is considered undefined. You see, when we talk about „divide,“ what we really mean is „multiply by the inverse. The inverse of a number is defined to be the number which, when multiplied by the original number, equals one; e. Now, in the algebraic structures we’re all familiar with, any number multiplied by zero is defined to be equal to zero; e.
So, using these definitions, what does dividing by zero, which actually means multiplying by the inverse of zero, equal? Well, to isolate x, you would need to cancel out , but how? That, my friends, is called a contradiction. Zero does not equal one; therefore the term can’t be defined. This answer may seem unsatisfactory to some people. There’s got to be a way to work around this pesky contradiction, right?