The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply. Should you consider anything before you answer a question? What details make Lochinvar an attractive and romantic figure? The negative real numbers can be discarded, and infinity introduced, leading to the set [0, ∞], where division by zero can be naturally defined as a/0 = ∞ for positive a.While this makes division defined in more cases than usual, subtraction is instead left undefined in many cases, because there are no negative numbers. The Cardinal number of something is how many individual elements it contains. infinity is not a number but is is treated as if it is something See TJM i did see your post. Some infinities are bigger than other infinities, in fact one infinity can be infinitely larger than another infinity. 3/(3-1) ≠ 1? Or Is evaporated milk the same thing as condensed milk? What is the contribution of candido bartolome to gymnastics? Infinity/infinity or even infinity/(infinity - 1) is an indeterminate quantity and can be equal to anything between zero and infinity, without further information you just don't know, that's why it's called indeterminate. lets see, an infinite value divided by one less than that infinite value. ∞ - 1 is still infinity; so you have  ∞/∞. Again a number puzzle. If a question is ticked that does not mean you cannot continue it. Solving 1 divided by infinity is an excellent example of a problem that doesn't have an outright answer. I  am not sure if I am using my parts of speach correctly. Loads of fun printable number and logic puzzles. You usually talk about cardinal numbers in relation to sets. Why don't libraries smell like bookstores? Maybe we could say that 1 ∞ = 0, ... but that is a problem too, because if we divide 1 into infinite pieces and they end up 0 each, what happened to the 1? oh ok but does infinity/infinity = 1 because for every value in infinity there is an identical one to match?nobodys going to see this because its too far back but im asking anyway.also is that what cardinal numbers are? and as denominator goes down (1/3, 1/2, 1/1) value goes up also. How long will it take to cook a 12 pound turkey? The simplest reason is that Infinity is not a number, it is an idea. so it has to be 0 or a natural number, that is 0,1,2,3 etc, So if you are talking about all the days of the week then the cardinal number is 7. How long will the footprints on the moon last? Multiply in writing. i dont have any more points about that i just wanted to make sure it was noticed (because its important)while your point still stands because its infinity and stuff, i would like the mention one more thing. larger than an. First, I am going to define this axiom (assumption) that infinity divided by infinity is equal to one: = 1 Since ∞ = ∞ + ∞ , then we are going to substitute the first infinity in our axiom: i tried reading the wiki page on them but it wasnt very easy to read. well, as numerator value goes up (1/1, 2/1, 3/1) value goes up. What is the birthday of carmelita divinagracia? mathematicially more precise: approaches zero. infinity/infinity is not indeterminate, its definetely 1. any number divided by itself equals 1, and while we may not be able to say what value infinity holds it … How long does it take to cook a 23 pound turkey in an oven? $${\frac{{\mathtt{\infty}}}{\left({\mathtt{\infty}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}$$, $${\mathtt{x}} = {\frac{{\mathtt{y}}}{\left({\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}$$. What is the conflict of the story of sinigang? $${\frac{{\mathtt{\infty}}}{\left({\mathtt{\infty}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}$$ would follow the same pattern as 5/4, 4/3, 3/2, 2/1, and 1/0 (which is interesting also because 1/0 is sometimes considered to be infinity), by heading into the equation calculator and entering$${\mathtt{x}} = {\frac{{\mathtt{y}}}{\left({\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}$$ and$${\mathtt{y}} = {\mathtt{1}}$$, and then repeatedly adding 1s to y every time i see what the result is, i have concluded that the bigger y is, the closer y/(y-1 gets to being 1. for example, 2/1 = 2, and eventually i just put 1+1+111111111111111 or something and got 1.00000000006. so yeah it just heads toward zero. but i like it so imma see what i can do, $${\frac{{\mathtt{\infty}}}{\left({\mathtt{\infty}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}} = {\frac{\infty}{{\mathtt{\,-\,}}{\mathtt{1}}{\mathtt{\,\small\textbf+\,}}\infty}}$$. What is plot of the story Sinigang by Marby Villaceran? Just pay attention when you take calculus ... yeah but wouldnt that be like saying x/(x-1) = x/x = 1, which makes x=all? https://www.desmos.com/calculator/bsh9ex1zxj. 0 is your answer (not a number close to zero). Answer and Explanation: Any number divided by infinity is equal to 0. So 1 ∞ is a bit like saying 1 beauty or 1 tall. How will understanding of attitudes and predisposition enhance teaching? THIS IS NOT A PROPER ANSWER: this may or may not be about number theory, and that may or may not be a topic we cover on this calculator forum. But this is an indeterminate value; that is, it could have many different answers; the answer depends upon the question from which it arose --- it could be ∞, or -6, or 1, or π, or ... depending upon the problem. You can not think of it like an ordinary number - it does not work that way. infinity/infinity is not indeterminate, its definetely 1. any number divided by itself equals 1, and while we may not be able to say what value infinity holds it is definetely equal to itself (reflexive property). In fact 1 … All Rights Reserved. It would be extremely rare for me to not see a post! To explain why this is the case, we will make use of limits. so infinity/infinity-1 would be either 1 or 1.000000... and an infinite string of zeroes followed by a single one. If we divide 1 by bigger and bigger numbers, then the quotient get closer and closer to 0, therefore 1 divided by infinity is zero. When did organ music become associated with baseball? im really done this time i wont ask any more infinity questions ( for now ). Infinity doesn't behave like an ordinary number, and shouldn't be considered as an ordinary number. Who of the proclaimers was married to a little person? The cardinal number of a set is how many elements it contains. Copyright © 2020 Multiply Media, LLC. Who is the longest reigning WWE Champion of all time? Remember that what is infinity divided by (infinity - 1)? Inter state form of sales tax income tax?