My son is in the 4th grade and he asked me why he cannot divide a number by 0 and get an answer. I am going to have him watch this video. This was beautifully explained. This was done in plan language so that anyone who can comprehend basic information can understand! Awesome job!
10/0 basically means that we cut 10 cherries into zero sized pieces and then put each one of them on plates. Since we are assuming this pieces are zero sized it means cutting each on of them won't make cherries any smaller, so we can cut endless amount of zero sized pieces and put them on endless plates, and we will get infinity. I wonder why author hasn't mentioned that.
I actually found this out myself! I didnt use plates tho, just groups of "cherries" in the world in general. If you have >0 cherries but want no groups, it would be impossible because the cherries exist and already are making up one group so the only way of dividing by 0 is when you have 0 cherries already
easyy. you cannot ration out a pizza to zero people BUT you can take zero pizzas and ration (It?/them?) out to 5 people; everyone will get ZERO slices of pizza.
just absolute infinity (simultaneously positive and negative infinity) since zero is empty and the opposite of empty is full (the number line is infinite in length so division by zero results in infinity in both directions) but infinity is conceptually the opposite of zero in every way (divergent and endless and not really a number, undefined)
5:42 that's actually wrong, that's like saying if you raise any number to the power of 0 it always equals 1 which is not true you can actually get any number from every function but it's harder to do that with /0, all you have to do is just put the inverse of the function to cancel the effect eg: 0×?=10 the answer is the fraction 10/0 since the two zeros cancel out you get the ten as the answer and you can replace the 10 with any number like negative,fraction,irrational numbers like pie, infinite, undefined numbers like 10/0 or even imaginary numbers like 3i. Eg2: what number do you put to the power of 0 to get 10 the answer is the 0th root of 10. As you can see these hard examples of only one answer require numbers that are undefined like n/0 , 0th root..., but it's always possible to get any number anywhere you want
I'm actually not sure what you're point is, are you trying to say that I should have said 0^infinity=undefined or that those examples you just gave are mathmatically true? The former I can understand the latter I can't. There are mathematical contexts where 0*infinity=0 can be evaluated using limits, such as with L'Hôpital's rule, but your other examples do not hold true in *any* context. 1: any non zero number to the power of 0 *does* always equal 1, no context changes this. 2: You can *not* get any number from any function. 3: in 0 * 10/0=10 the 0s do not cancel out. Cancelling out happens across the equals sign, and there's no 0 on the other side of that equation. Even if there was it wouldn't matter, it's only non zero numbers that can cancel out but that's irrelevant because 10/0 is not 0, it's undefined. 4: Inverse functions don't have relevance here either, 10/0 is simply undefined. There is no inverse operator that can make something undefined become a definite integer. 5: There is no such thing as a 0th root. It's undefined in all contexts.
@@H3Vtux 1: yes it can i gave examples 2: also gave example why if there's only one answer you can cancel the function using undefined number 3: the reason it cancels is because you are dividing by 0 and multiplying by 0 which means you did nothing here, and i never said 10/0 = 0 i know it's undefined 4:you are true 10/0 is undefined by its own but when you multiply it by 0 only the 10 remains which a defined number 5: it's only undefined using positive and negative numbers but if you put it to the power of zero it will have no value which will not effect the number which will make it defined
@@hideralduhami You're applying integer logic to undefined/indeterminate values which doesn't work the way you think it does. Undefined values lack the qualities necessary for meaningful comparison. 1 and 2: "Undefined" does not equal undefined, and it does not cancel out undefined. I don't know where you got that idea. You're also confusing undefined with indeterminate but that's beside the point, there are multiple "kinds" of undefined and they are not equal and frankly they aren't meaningful. They just indicate that at some point your equation broke. 3: The assertion that that dividing by 0 and then multiplying by 0 cancels out and means you "did nothing" is fundamentally incorrect. 4: This is not at all how undefined quantities and multiplication interact. You are applying integer logic to undefined/indeterminate numbers. 5: No, it's still undefined.
@@H3Vtux 1 and 2: wdym i never said undefined equals undefined and i know they're are multiple kinds of undefined that's what i said because i gave 2 examples that are different 3: saying my thesis is "fundamentally incorrect" doesn't disprove anything i said and you need to tell me what was incorrect in my math 4: well no,only the value of the number is undefined, but if you take it's original state not it's value than you can interact with it just like any other fraction like 1/2, 9/4. 10/0 even if it's undefined it's still a fraction which obeys fraction rules 5: how is it still undefined if we removed the 0th root (the thing that made the number undefined)
@@hideralduhami 1&2: In that case i'm having trouble following you and I think we might be suffering from a language barrier problem. 3: There's nothing for me to disprove, the basic principles you're relying on are not valid. You claimed "the reason it cancels is because you are dividing by 0 and multiplying by 0 which means you did nothing here" *and that's simply not true.* Division by 0 does not produce a number, there's no rational way to explore what 0/0 equals so 0*10/0 is a non starter. 4: No, i don't know where you got this idea. The "original state" of an undefined value whether 10/0 or a "0th root" is still undefined and has no valid representation in mathematics. It is an operation that fails to produce a result which means the entire equation is void and meaningless. 5: Same as above, you're trying to apply integer logic to undefined operations. Saying that you can remove the zeroth root to make something defined does not make sense. The issue is not just about having a root but about the operation itself lacking definition. You cannot “remove” the zeroth root because it is a concept that doesn’t exist in the first place. There is no way to mathematically get into or out of 'undefined.' If your equation contains an undefined part, the entire equation becomes null, void, and meaningless. None of the other numbers in the equation mean anything, regardless of how they interact with the undefined part, because you cannot interact with it. Encountering something like division by zero, zeroth roots, or 0^0 indicates that a mistake was made elsewhere in your calculations, and you need to backtrack and correct it.
If A are Apples & P are Plates then A÷P = (A÷P) because they are unlike terms. To make this explanation valid do not assume that A÷P=1 same way as A÷A=1
This is true and I can see how it could be confusing. I probably should have emphasized that in this example a "plate" in fact means "a plate with the amount of desired cherries on it". I hope that came across during the explanation of 20/10=.5, that if the plate is only half full, it is only half of a plate. I thought about using the examples of textiles for the things, and shirts for the groups, because the shirt doesn't exist without the textiles. But that example had its own problems. In short I couldn't really think of a "thing" where another thing only existed as a group of those things.
The only thing about this proof is that it doesn't explain why 0/0 is undefined. Using both the cherry example and the multiplication inversion would imply that 0 works as a result.
@@Twas-RightHere Any number divided by zero is zero; any number divided by itself is one. 0/0 fulfills both of these properties. Additionally, when x / y = z, then z * y = x. 0 / 0 = z, means z * 0 = 0. z can be anything. The way this video defines undefined is by saying the number can't exist, which is true, but in this instance it's undefined because it could be any value.
@@Twas-RightHere To go with the Cherries example: If you have zero cherries, and you're trying to put them into zero equal groups, how can you? How could you end up with zero cherries in each non existent group? "0" is still a number, and trying to divide zero by zero wouldn't give you any number, because there is no number anywhere. You end up with no numbers at all, not the number "0".
There can’t be 0 things divided by 0 groups because things and groups are different like lets say there are 0 things divided by 0 of groups, you don’t get 0 groups because 0 is still an answer. It’s like saying If i had 0 cars and 0 zero passengers, you don’t tell me it’s because you have zero cars because then you are assuming i would have 0 or more passengers if i had cars. Or It’s like asking why doesn’t your car have passengers, it doesn’t make sense but asking why doesn’t your passengers have cars does make sense because passengers can have cars but cars can’t have passengers Cars=things, passengers=groups Now that i think about it maybe 0/0=undefined OR 0 depends on how you look at it i guess, my brain is now fries
Like you said in 3:14 how many plates are we going to have with 0 cherries this number coud be anything like 1 plate, 256 plates, 1*10^48 plates, there will not be a real answer. Like you said later, if we had infinite plates then the equation will have an answer but as you discussed there isn't. It is also true that if you try to rearrange the numbers to multiply them, no number multiplied by 0 gives 10.
Should have ended the video with "Because that's absurd" xD I'm glad that this was the video that popped up when I was trying to figure out if true 0 is a man made concept or a number that exists by nature. After hours of thinking I came to the conclusion that even the vaccume of space is approx 4 to 5 degrees warmer than absolute zero temperature (Temp at which even atoms have halted all movement and all dissorder dissapears), which means that by nature there is nothing that exists at an absolute halt in movement. This leads me to believe there can only be 2 answers. 1) 0 is a number that was created by or given to man to define both the beginning and the end of something thus giving structure and understanding to how we see the world and the universe around us. We can divide by any other number that naturally exists and get an answer. However the man made 0 cannot be. 2) True 0 is a concept that is beyond human understanding and that is why when we divide by it we get undefined. We just cannot comprehend anything past that. This video is exactly what I needed to just drop it and move on with my day. 😆 Anyway I subscribed and I hope you keep making these kind of videos! I think "That's Absurd" should be your staple phrase 🤔
It would mess with other math. For example if we assumed 5/0=0, it would imply that 0*0=5. And even more insane, since it would also be true that 8/0=0, it would imply 0*0=8, and in fact 0*0=(every number possible).
Is 1 / 0 = 0 according to Isabelle? Ask Question Asked 3 years, 8 months ago Modified 3 years, 8 months ago Viewed 140 times 3 The following lemma: lemma "(1::real) / 0 = 0" by simp goes through because of theorem division_ring_divide_zero I find this very disturbing since if I want to show that some fraction is non-zero I have to show that the numerator is non-zero AND the denominator is non-zero, which might make sense but confuses two different problems into one. Is there a way of separating the well-definition of a fraction and its non-zeroness? isabelle Share Improve this question Follow edited Aug 7, 2019 at 6:28
The question is not asking how many plates you have, but how many full plates you have (full is to say plates with the desired amount of cherries). 0/0=0 implies that if you have zero cherries, and you distribute them among 0 plates, how many full plates will you have? You will have zero full plates. But you will also have 5 such plates, as well as a million plates with zero cherries on them. So does 0/0= 0, 5, or a million? 0/5 says we have zero cherries, and a plate is "full" if it has 5 cherries on it. This means we have 0 full plates. Both 0/0 and 5/0 imply that a plate is "full" if it has 0 cherries on it which is where the connundrum comes from.
Since , x/y=z and z*y=x So, 10/5=2 2*5=10 And therefore, 0/0=0 0*0=0 But, 0*1=0 0*2=0 0*3=0 0*4=0 and so on... That's why 0/0=ND 0*ND=0 Here the ND(not defined) value can go on because every number multiplied by 0 is 0
If you have 10 cherries and try to split them up so you have 0 on each plate, obviously you can't. But you still have 10 cherries right? They don't just disappear, so other than not being able to reverse the equation, why can't dividing by zero be the same as do nothing?
Try to think less about the cherries and more about "how full each plate is with your desired amount of cherries.". I used plates in this example because it was more straightforward to say "plate" than "group of cherries" and easier to visualize. But keep in mind a plate with zero cherries is a zero plate. The point is that if you start with a number, there is no amount of groups you can divide that number into to get zero groups. Imagine cutting an apple in half, then cutting those halves into halves, then again, and again, and again a billion times. When would you ever end up with *zero* apples? Or zero fractions of an apple? you wouldn't. So when we have any number of cherries, there is no number small enough that we can split them to where suddenly no plate (group of cherries) exists. Even if we split the group of ten cherries into trillions and trillions of tiny little pieces, well. We still wouldn't be able to turn them into *zero* groups.
@@H3Vtux "The point is that if you start with a number, there is no amount of groups you can divide that number into to get zero groups." You still start with the number, so if you run into the problem of dividing by zero, you should go back to whatever number you had before since it's an impossible operation. Why can't we divide zero by zero btw? I start with nothing and I groups of nothing so that seems fulfilled.
@@Arcticgator64 Let me try a different approach here by comparing division to subtraction. 5-5=0. Subtraction allows us to take things and throw them into "the pit of non existence". When we have five cherries, and we subtract five cherries, we're taking those five cherries and throwing them into the pit of non existence. But with division, nothing ever ceases to exist. Nothing is thrown into the pit of non existence. We have the same total amount of "matter", but it's split into smaller and smaller chunks. In the physical world of reality, we would eventually divide so small we would have individual atoms, but Math isn't concerned with the physical world. In math we could end up with individual atoms, and divide each of them into a billion trilliong pieces. The point is, for the equation (5/0=?????) I am asking you to take 5 cherries, and split them into so many pieces that they stop existing. Which simply cannot happen. 0/0= undefined for the same reason. If you have zero cherries, and you evenly distribute them, you end up with *one group* of zero, not zero groups. OR if you have zero cherries and you distribute them into groups that each contain zero: You end up with one such group. Not zero such groups. In each of those cases, you end up with one group out of zero, while 0/0 implies that you can some how end up with zero groups of zero. you can't end up with zero groups when the entire point of what you're doing is grouping things.
@@H3Vtux Right. 0/0 or X/0 is like trying to say someone is a "married bachelor" or "single husband." Those things are incompatible by their respective definitions, and therefore combining them is meaningless or undefined aka impossible.
Интересная история... Деление не всегда идет именно от умножения... или сложения... или даже вычитания... Иногда оно выражает относительное значение между зависимыми величинами... Такое выражение когда 0×0 большинство безоговорочно посчитают равным 0... но на самом деле это поверхностный взгляд... Ведь относительный ответ X/0=0 означает что X=0×0... без учета безотносительного остатка... Хотя о чем это я... делить на ноль многим запрещено почти на законодательном уровне... Многие думают что на ноль можно умножать а делить "почти" совсем ни как нельзя... Типа X×0 = 0 это нормально лишь потому что 0/X = 0...? Но из этого же следует что сам X = 0/0...? Х=0⁰...? ну и где логика... Давайте рассмотрим один из вариантов как обычно происходит действие деления... 6:2=6/2=(2+4)/2=2/2+4/2=1+(2+2)/2= =1+2/2+2/2=1+1+2/2=3 (без остатка...) 7:2=7/2=(2+5)/2=2/2+5/2= =1+(2+3)/2=1+2/2+3/2= =1+1+(2+1)/2=1+1+2/2+1/2= =1+1+1+1/2=3+1/2=3 с остатком 1... И это также можно с помощью принятых форм математических записей выразить как 3½ или 3.5... А что же происходит когда якобы производят деление на ноль... многие говорят что это будет равно какой то бесконечности... 15:0=15/0=(0+15)/0=0/0+(0+15)/0= =0/0+0/0+(0+15)/0=0/0+...+0/0+15/0... и при дальнейших действиях всегда такое деление будет c постоянным остатком в виде того что "делилось" изначально... в данном случае остаток 15... и почему то вот об этом остатке или забывают или неосознанно замалчивают считая только бесполезные бесконечные действия не приводящие ни к какому результату деления... Если быть немного логичным то видно что даже при бесконечном количестве таких действий деления (а точнее бездействий) вся сумма таких действий равна нулю с постоянным остатком того что было изначально делимым... То есть само такое деление не происходит... сколько было изначально столько и остаётся в остатке неделимо... X:0=X/0=(0/0)×N+X/0=N×(0/0) с неразделённым остатком X где N×(0/0)=0 и N число мнимых манипуляций не производящих деления... поэтому N=0... а не бесконечность... отсюда и получается два ответа при делении на ноль... относительный ответ равен 0... но именно ноль бессмысленных манипуляций... а безотносительный ответ равен самому значению делимого X... В примере 15/0 = 0 целых 15 нулевых... или же 0 целых и 15 в остатке... именно умножая это число на ноль можно получить первоначальное данное значение... Но об этом как правило неумышленно умалчивают... ведь этому не научили... Общепринятая математическая терминология до сих пор никак не может внятно объяснить даже продвинутым математикам (что уж там говорить о простых людях) что же это за такие математические "действия" с нулевыми значаниями и почему multiplicatio (умножение) с "отсутствующим" множителем ноль возможно (при всей своей абсурдности)... а вот division (деление) на "отсутствующий" делитель в виде ноля ответ неопределен от полного категорического запрета до "игр разума"... "положительной и отрицательной бесконечности вселенной"... или же "совершенно не имеет смысла"... А если всё же хоть немного подумать... Любое значение X не равное нулю деленное на ноль всегда имеет два значения... Относительный ответ ВСЕГДА = 0... Безотносительный ответ равен самому неделенному Х...
Полное непонимание современной математики темы умножения на ноль и тем более деления на ноль... При записи умножения числового значения X на ноль получаем ----- X×0=0 X /\ 0/0 Перенос ноля через знак равно превращает равенство в качельное неравенство типа ---- 100% /\ 0% Сам знак процентов кстати пишется как 0/0... То же самое и с делением на ноль... ---- X/0=0 Х /\ 0×0 Перенос ноля через знак равно превращает равенство в качельное неравенство... Я называю это нулёвыми значениями (не нулевыми а именно нулёвыми... "ни разу взятыми" или "ни разу трачеными" то есть "нерастрачеными" если это об умножении на ноль... "ни разу делёнными" или "неразделёнными" если это о делении на ноль)... И непонимание до сих пор этого простого меня очень удивляет... 220 вольт делить на ток 0 Ампер это сопротивление = 0 Ом... но это просто не потраченое напряжение... 1 торт не взятый кусками ни разу (деленный на ноль) 1/0 это 0 кусков взятых но это все тот же 1 неразделённый торт... 5 монет ни разу не взятых 5×0 это 0 взятых монет но вопрос как правило звучит "сколько будет" а не сколько взято... так вот будет все те же 5 невзятых "нулёвых" монет... И это всего лишь маленькая вершина айсберга действий с нолем... Сложение и вычитание нуля не меняет первоначального значения... а почему? да потому что на самом деле не происходит самого математического действия как такового... ничего не прибавляется и не убавляется при этом... С умножением и делением на ноль происходит примерно тоже самое... Ничего не происходит при этих действиях... всего лишь описывается что первоначальные значения не изменяются... хотя ответов получается два относительный = 0 безотносительный = 100% = 1×Х(нулёвое) в зависимости от поставленного вопроса... И безотносительный ответ имеет гораздо больше смысла... 5 метров × 5 метров × 0 метров = 25 метров² × 0 метров = ? Относительно нуля ответ 0 метров³ Безотносительно нуля = 25 метров² ---- 25м²(=100%) /\ 0м³ : 0м (= 0м²) Перенос нуля (при умножении на ноль или делении на ноль) через знак равно превращает равенство в качельное неравенство ----- 1×X(нулёвое)(=100%) /\ 0(=0%) Безотносительный ответ при действиях умножения и деления с нулем не учитывает как само действие с нулем так и его измерение... 5 яблок : 0 корзин = ? Относительный ответ 0 яблок на корзину... Безотносительный ответ 5 неразделенных яблок (без корзин)... Убираем ноль и его измерение из вычисления и получаем нетронутые первоначальные данные и можем дальше с ними что то вычислять... ---- 5 яблок нулёвых (= 100%) /\ 0 корзин × 0 яблок/на корзину (= 0) Чисто качельное 100% неравенство... Откуда здесь могут взяться какие то бесконечности? Или черные дыры? Кстати 0(нулёвый) / 0(нулёвый) = 1 Впрочем как и любое другое число раз делённое на само себя... Это всего лишь малая часть моего личного взгляда на действия с нулем и он не ограничивается только этими действиями...
Ноль не имеет численного значения... он лишь описывает отсутствие чего либо... Практически все действия с нолем на самом деле не происходят... Многие пытаются ноль "всунуть" в основные математические действия... при этом абсолютно не понимая смысла самой записи таких действий... но с нулем есть только математические "бездействия" и чаще всего действия "умножения" и "деления" связанные с нулем говорят что есть что то безотносительное до той поры пока вместо нуля в таких выражениях не появится числовое значение... Лишь после этого выражение становится относительным... Если напряжение = 0 и сила тока = 0 то это не значит что при этом всегда нет сопротивления... Если скорость = 0 и время = 0 то расстояние при этом может быть каким угодно (в том числе и отсутствовать)... Поймите главное перенос нуля через знак равно изменяет смысл равенства на качельное неравенство 100% того что было изначально и есть до сих пор и с другой стороны 0% того что якобы "взято"... И никаких бесконечностей и всяких "черных дыр" при явном нуле в таких действиях никогда не будет... Чисто математически ЛЮБОЕ "действие" когда Х не равное нулю "умножается" на ноль или "делится" будет равно ВСЕГДА нулю... то есть отсутствию таких отношений... Но смысл совершенно не в этом... любое такое "действие" описывает лишь неизменность самого стопроцентно имеющегося значения X при этих нулевых "операциях" с ним...
Что касается "деления" 0/0... (или по другому выражения типа 0⁰...) Если вы делите два различных нуля один на другой (с различными мерами измерения) то "относительный" математический ответ этого будет 0 = 0% того что использовано... Но безотносительный ответ будет равен 100% того что было дано изначально и не было использовано в ходе бездейственного "деления" отсутствия одной величины на отсутствие другой... Если делить один ноль сам на себя (с одной и той же мерой измерения) то ответ равен 1 раз... И никаких 2 раза... 3 раза... и т.п. у отсутствия величины в виде ноля не будет... Интересно как можно объяснить 0/0 = 0⁰ с точки зрения "практических" равенств... Многие считают что 0⁰ = 1... Напряжение U = 0 вольт... Сила тока I = 0 ампер... Сопротивление R = U/I = 0/0 = 0⁰ = 1...? Ом...? Весело... Дистанция S = 0 километров... Время t = 0 часов... Cкорость V = S/t = 0/0 = 0⁰ = 1...? километров/час...? Смешно... Объем V = 0 метров³... Ширина W = 0 метров... Высота H = 0 метров... Длина L = V/(W×H) = 0/(0×0) = 0/0² = 0‐¹ = 1/0...? = ...? Сколько будет...? метров? Интересно сможет хоть кто то это объяснить хоть как то математически... Нужно знать предисторию таких нулей...
Многие математики почему то считают что у нуля нет обратной величины... Другие свято верят что величина обратная нулю это "бесконечность"... К сожалению (ну или к счастью) у "бесконечности" есть обратная величина равная 1/бесконечность... И как бы она ни была мала она НИКОГДА не будет равна нулю... И уж точно она не имеет безотносительного значения... К тому же она имеет знак плюс или минус в зависимости от того с каким знаком берется сама "бесконечность"... (если конечно она хоть как то вообще может быть "взята"...) У полного отсутствия в виде нуля есть обратная величина... это полное присутствие... и для нуля это равно единице... то есть 100% присутствие чего либо... 1/0 "относительный" ответ математически равен нулю... но именно он не имеет смысла а вот безотносительный ответ как раз равен "ни разу делённой" то есть нераздельной (нулёвой) единице... Никакой бесконечности при делении на ноль не бывает... если только сама бесконечность не делится на ноль... 1/0 равна 0 целых и 1 в остатке... полностью неделённая единица... Умножьте обратно 0×0 целых и прибавьте остаток 1... получите изначальное имеющееся число якобы "делённое" на ноль... Деление на целые части заканчивается когда вы не можете больше "отсоединить" от делимого количества записанного в делитель... При нуле находящимся в делителе вы не сможете "отсоединить" вообще ничего от делимого числа пытаясь вычесть ноль... даже при "бесконечных" таких попытках... поэтому для действия деления на ноль это равно всегда ноль целых... а остальное неделимый остаток...
Много есть искусственных точек нулевого отсчета в различных измерениях различных величин... Но в большинстве своем они не имеют никакого отношения к делению на ноль... Я лишь изложил некоторые видения своей теории математических "действий" с нулевыми значениями... На сегодняшний день никто не смог переубедить меня в этом... и даже наоборот после дискуссий на эту тему мое личное убеждение в моей правоте возрастает все больше... Вам же желаю всех благ в деле поиска знаний...
Think 0 n infinity same but opposites direction changed but path are same white and black are same darkness is lowest light and brightness is lowest darkness in computer we see each light with same pixels darkness is not off pixels
that's actually wrong, that's like saying if you raise any number to the power of 0 it always equals 1 which is not true you can actually get any number from every function but it's harder to do that with /0, all you have to do is just put the inverse of the function to cancel the effect eg: 0×?=10 the answer is the fraction 10/0 since the two zeros cancel out you get the ten as the answer and you can replace the 10 with any number like negative,fraction,irrational numbers like pie, infinite, undefined numbers like 10/0 or even imaginary numbers like 3i. Eg2: what number do you put to the power of 0 to get 10 the answer is the 0th root of 10. As you can see these hard examples of only one answer require numbers that are undefined like n/0 , 0th root..., but it's always possible to get any number anywhere you want
0 and 1. Those are the two marks that first arose in human consciousness. The first to arise was 1. It was a jubliant time and when it arose thousands of years ago, it was welcomed. It symblized and affirmed existence. It is the primordeal mother, the one that gave birth to everything. All numbers are fundamentally 1, it gave birth to all of it. 1000 is nothing more than just more ones. And I am even talking about the so called imaginary and complex numbers. Thousand of years later one fine moment in history is when 0 arose. It was most dreadful. It came with a trembling. Human beings had nothing to do with it. Soon it had to be buried and buried it did for long long time. The first folks that brought it back into the open was non other but people of India. But why India? It is because after thousand of years they finally got comfortable due to Krishna and the upanishad that death and nothingness is just a phase and you don't dissapear into an outer darnkess, into nothingness forever and forever. They had reincarnation. While 1 represented the presence, the existence of things. 0 in its original true meaning was lack or absence of numbers. Therefore 0 in its pure original form is not considered a number. It is in essence a representation of no number. Fast forward to the present moment before I get too carried away. What has not been fully settled yet is what is 0^0? First of all this whole exponent thing is so convoluted and is taught so wrong, that most folks just scratch their head and walk off. It has ever remained full of it. 3^4 means that 3 is to be multiplied to itself 4 times. How absurd. If that was true and is taught that way,,,,, now comes the trouble and it is bound to happen and then every trick is used to get out of it. So then: What is 3^1? How many times you are to multiply 3 to itself? Once or what? Ooops. Well more trouble: What is 3^0? How many times you are to multiply 3 to itself? Ooops, try to even verbalize it and see where it leads you to. But then when it comes to messing with 0 which is no number, an absence of number, you can say it but you can't put your finger on it, that was the whole idea, you are in for a treat. 0^0=? I will leave this out in the open to be dealt with. Hint: Wrong teaching. The only way to get to the bottom of it, if you follow how exponents, what was exponent suppose to represent. Everything always arise from real life situation including quanterinoes or whatever they want to call it.
This channel is literally a goldmine for all the questions you have the urge to google at 3 am.
absolutely 👀
*Me sitting here right now watching at 3am* 🤣
I literally looked this up at 5:22 am. 😂
~:~
Nahh. Not literally; just figuratively.
My son is in the 4th grade and he asked me why he cannot divide a number by 0 and get an answer. I am going to have him watch this video. This was beautifully explained. This was done in plan language so that anyone who can comprehend basic information can understand! Awesome job!
Yep! Best demo of the concept that I have EVER seen!
love this channel, can’t wait for you to blow up and get big, you definitely deserve it 👍
This is the best, most visual demonstration of the impossibility of division by zero that I've ever seen in my life! Thank you very much!
10/0 basically means that we cut 10 cherries into zero sized pieces and then put each one of them on plates. Since we are assuming this pieces are zero sized it means cutting each on of them won't make cherries any smaller, so we can cut endless amount of zero sized pieces and put them on endless plates, and we will get infinity.
I wonder why author hasn't mentioned that.
Interesting video. But that raises a problem. If infinity * 0 is still zero, how can infinitely many 0D points add up to give a 1D line?
Infinity isn't a number infinity is a whole bunch of numbers
That's why 0*infinity can equal to any number, cause you can count infinite amount of zero sized dots in any sized line segment.
Remember n/0 spells “No”
Thanks!
Ayy first time seeing a Thanks Comment
Plot twist: undefined is the name of the number
I actually found this out myself! I didnt use plates tho, just groups of "cherries" in the world in general. If you have >0 cherries but want no groups, it would be impossible because the cherries exist and already are making up one group so the only way of dividing by 0 is when you have 0 cherries already
easyy. you cannot ration out a pizza to zero people BUT you can take zero pizzas and ration (It?/them?) out to 5 people; everyone will get ZERO slices of pizza.
nah everyone's just gonna be pissed at you :V
Best explaination of this I have ever seen!
I love his videos
I am a student and he clears all my doubts which occurs in my mind .
You are doing great work man 👍
Keep it up👍👍👍👍
Thank you! I'm glad they help!
Beautiful Explanation
4 sqrt0 is undefined.
just absolute infinity (simultaneously positive and negative infinity) since zero is empty and the opposite of empty is full (the number line is infinite in length so division by zero results in infinity in both directions) but infinity is conceptually the opposite of zero in every way (divergent and endless and not really a number, undefined)
5:42 that's actually wrong, that's like saying if you raise any number to the power of 0 it always equals 1 which is not true you can actually get any number from every function but it's harder to do that with /0, all you have to do is just put the inverse of the function to cancel the effect
eg: 0×?=10 the answer is the fraction 10/0 since the two zeros cancel out you get the ten as the answer and you can replace the 10 with any number like negative,fraction,irrational numbers like pie, infinite, undefined numbers like 10/0 or even imaginary numbers like 3i.
Eg2: what number do you put to the power of 0 to get 10 the answer is the 0th root of 10.
As you can see these hard examples of only one answer require numbers that are undefined like n/0 , 0th root..., but it's always possible to get any number anywhere you want
I'm actually not sure what you're point is, are you trying to say that I should have said 0^infinity=undefined or that those examples you just gave are mathmatically true? The former I can understand the latter I can't.
There are mathematical contexts where
0*infinity=0 can be evaluated using limits, such as with L'Hôpital's rule, but your other examples do not hold true in *any* context.
1: any non zero number to the power of 0 *does* always equal 1, no context changes this.
2: You can *not* get any number from any function.
3: in 0 * 10/0=10 the 0s do not cancel out. Cancelling out happens across the equals sign, and there's no 0 on the other side of that equation. Even if there was it wouldn't matter, it's only non zero numbers that can cancel out but that's irrelevant because 10/0 is not 0, it's undefined.
4: Inverse functions don't have relevance here either, 10/0 is simply undefined. There is no inverse operator that can make something undefined become a definite integer.
5: There is no such thing as a 0th root. It's undefined in all contexts.
@@H3Vtux 1: yes it can i gave examples
2: also gave example why if there's only one answer you can cancel the function using undefined number
3: the reason it cancels is because you are dividing by 0 and multiplying by 0 which means you did nothing here, and i never said 10/0 = 0 i know it's undefined
4:you are true 10/0 is undefined by its own but when you multiply it by 0 only the 10 remains which a defined number
5: it's only undefined using positive and negative numbers but if you put it to the power of zero it will have no value which will not effect the number which will make it defined
@@hideralduhami
You're applying integer logic to undefined/indeterminate values which doesn't work the way you think it does. Undefined values lack the qualities necessary for meaningful comparison.
1 and 2: "Undefined" does not equal undefined, and it does not cancel out undefined. I don't know where you got that idea. You're also confusing undefined with indeterminate but that's beside the point, there are multiple "kinds" of undefined and they are not equal and frankly they aren't meaningful. They just indicate that at some point your equation broke.
3: The assertion that that dividing by 0 and then multiplying by 0 cancels out and means you "did nothing" is fundamentally incorrect.
4: This is not at all how undefined quantities and multiplication interact. You are applying integer logic to undefined/indeterminate numbers.
5: No, it's still undefined.
@@H3Vtux 1 and 2: wdym i never said undefined equals undefined and i know they're are multiple kinds of undefined that's what i said because i gave 2 examples that are different
3: saying my thesis is "fundamentally incorrect" doesn't disprove anything i said and you need to tell me what was incorrect in my math
4: well no,only the value of the number is undefined, but if you take it's original state not it's value than you can interact with it just like any other fraction like 1/2, 9/4. 10/0 even if it's undefined it's still a fraction which obeys fraction rules
5: how is it still undefined if we removed the 0th root (the thing that made the number undefined)
@@hideralduhami
1&2: In that case i'm having trouble following you and I think we might be suffering from a language barrier problem.
3: There's nothing for me to disprove, the basic principles you're relying on are not valid. You claimed "the reason it cancels is because you are dividing by 0 and multiplying by 0 which means you did nothing here" *and that's simply not true.* Division by 0 does not produce a number, there's no rational way to explore what 0/0 equals so 0*10/0 is a non starter.
4: No, i don't know where you got this idea. The "original state" of an undefined value whether 10/0 or a "0th root" is still undefined and has no valid representation in mathematics. It is an operation that fails to produce a result which means the entire equation is void and meaningless.
5: Same as above, you're trying to apply integer logic to undefined operations. Saying that you can remove the zeroth root to make something defined does not make sense. The issue is not just about having a root but about the operation itself lacking definition. You cannot “remove” the zeroth root because it is a concept that doesn’t exist in the first place.
There is no way to mathematically get into or out of 'undefined.' If your equation contains an undefined part, the entire equation becomes null, void, and meaningless. None of the other numbers in the equation mean anything, regardless of how they interact with the undefined part, because you cannot interact with it. Encountering something like division by zero, zeroth roots, or 0^0 indicates that a mistake was made elsewhere in your calculations, and you need to backtrack and correct it.
Pull out field axioms, and the ring theory consequences
If A are Apples & P are Plates then A÷P = (A÷P) because they are unlike terms.
To make this explanation valid do not assume that A÷P=1 same way as A÷A=1
This is true and I can see how it could be confusing. I probably should have emphasized that in this example a "plate" in fact means "a plate with the amount of desired cherries on it". I hope that came across during the explanation of 20/10=.5, that if the plate is only half full, it is only half of a plate.
I thought about using the examples of textiles for the things, and shirts for the groups, because the shirt doesn't exist without the textiles. But that example had its own problems.
In short I couldn't really think of a "thing" where another thing only existed as a group of those things.
Why not put 5 plates on top of 2 cherries?
Lim x->0 + = Infinity
The only thing about this proof is that it doesn't explain why 0/0 is undefined. Using both the cherry example and the multiplication inversion would imply that 0 works as a result.
Oh snap... Why would 0/0 not be 0?
@@Twas-RightHere Any number divided by zero is zero; any number divided by itself is one. 0/0 fulfills both of these properties.
Additionally, when x / y = z, then z * y = x. 0 / 0 = z, means z * 0 = 0. z can be anything.
The way this video defines undefined is by saying the number can't exist, which is true, but in this instance it's undefined because it could be any value.
@@Twas-RightHere To go with the Cherries example: If you have zero cherries, and you're trying to put them into zero equal groups, how can you? How could you end up with zero cherries in each non existent group?
"0" is still a number, and trying to divide zero by zero wouldn't give you any number, because there is no number anywhere. You end up with no numbers at all, not the number "0".
@@Twas-RightHere Zero times any real number is zero, so there isn't one single defined answer of what would be zero divided by zero.
There can’t be 0 things divided by 0 groups because things and groups are different like lets say there are 0 things divided by 0 of groups, you don’t get 0 groups because 0 is still an answer.
It’s like saying
If i had 0 cars and 0 zero passengers, you don’t tell me it’s because you have zero cars because then you are assuming i would have 0 or more passengers if i had cars.
Or
It’s like asking why doesn’t your car have passengers, it doesn’t make sense but asking why doesn’t your passengers have cars does make sense because passengers can have cars but cars can’t have passengers
Cars=things, passengers=groups
Now that i think about it maybe 0/0=undefined OR 0 depends on how you look at it i guess, my brain is now fries
Undefined number
Like you said in 3:14 how many plates are we going to have with 0 cherries this number coud be anything like 1 plate, 256 plates, 1*10^48 plates, there will not be a real answer. Like you said later, if we had infinite plates then the equation will have an answer but as you discussed there isn't. It is also true that if you try to rearrange the numbers to multiply them, no number multiplied by 0 gives 10.
Thank you for telling him what he said.
noice video as always
Should have ended the video with "Because that's absurd" xD I'm glad that this was the video that popped up when I was trying to figure out if true 0 is a man made concept or a number that exists by nature. After hours of thinking I came to the conclusion that even the vaccume of space is approx 4 to 5 degrees warmer than absolute zero temperature (Temp at which even atoms have halted all movement and all dissorder dissapears), which means that by nature there is nothing that exists at an absolute halt in movement. This leads me to believe there can only be 2 answers.
1) 0 is a number that was created by or given to man to define both the beginning and the end of something thus giving structure and understanding to how we see the world and the universe around us. We can divide by any other number that naturally exists and get an answer. However the man made 0 cannot be.
2) True 0 is a concept that is beyond human understanding and that is why when we divide by it we get undefined. We just cannot comprehend anything past that.
This video is exactly what I needed to just drop it and move on with my day. 😆 Anyway I subscribed and I hope you keep making these kind of videos! I think "That's Absurd" should be your staple phrase 🤔
Very noice
Perfect simplified explanation
Why not just make dive by zero be zero as well? Or would that mess with other areas in math
It would mess with other math. For example if we assumed 5/0=0, it would imply that 0*0=5. And even more insane, since it would also be true that 8/0=0, it would imply 0*0=8, and in fact 0*0=(every number possible).
EPIC
Is 1 / 0 = 0 according to Isabelle?
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The following lemma:
lemma "(1::real) / 0 = 0" by simp
goes through because of theorem division_ring_divide_zero
I find this very disturbing since if I want to show that some fraction is non-zero I have to show that the numerator is non-zero AND the denominator is non-zero, which might make sense but confuses two different problems into one.
Is there a way of separating the well-definition of a fraction and its non-zeroness?
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edited Aug 7, 2019 at 6:28
What about 0/0? Apparently that is undefined as well but if I have 0 cherries on each plate and I have 0 plates then I must have 0 cherries right?
The question is not asking how many plates you have, but how many full plates you have (full is to say plates with the desired amount of cherries). 0/0=0 implies that if you have zero cherries, and you distribute them among 0 plates, how many full plates will you have? You will have zero full plates. But you will also have 5 such plates, as well as a million plates with zero cherries on them. So does 0/0= 0, 5, or a million?
0/5 says we have zero cherries, and a plate is "full" if it has 5 cherries on it. This means we have 0 full plates.
Both 0/0 and 5/0 imply that a plate is "full" if it has 0 cherries on it which is where the connundrum comes from.
How about 0*0=0, is it possible?
Number of cherries on a plate: how many cherries on a plate if there are -1 plates
asking to discover something that doesn't exist
What about 0/0?
Since ,
x/y=z and z*y=x
So,
10/5=2
2*5=10
And therefore,
0/0=0
0*0=0
But,
0*1=0
0*2=0
0*3=0
0*4=0
and so on...
That's why
0/0=ND
0*ND=0
Here the ND(not defined) value can go on because every number multiplied by 0 is 0
Of groups number
If you have 10 cherries and try to split them up so you have 0 on each plate, obviously you can't. But you still have 10 cherries right? They don't just disappear, so other than not being able to reverse the equation, why can't dividing by zero be the same as do nothing?
Try to think less about the cherries and more about "how full each plate is with your desired amount of cherries.".
I used plates in this example because it was more straightforward to say "plate" than "group of cherries" and easier to visualize. But keep in mind a plate with zero cherries is a zero plate.
The point is that if you start with a number, there is no amount of groups you can divide that number into to get zero groups. Imagine cutting an apple in half, then cutting those halves into halves, then again, and again, and again a billion times. When would you ever end up with *zero* apples? Or zero fractions of an apple? you wouldn't.
So when we have any number of cherries, there is no number small enough that we can split them to where suddenly no plate (group of cherries) exists. Even if we split the group of ten cherries into trillions and trillions of tiny little pieces, well. We still wouldn't be able to turn them into *zero* groups.
@@H3Vtux "The point is that if you start with a number, there is no amount of groups you can divide that number into to get zero groups."
You still start with the number, so if you run into the problem of dividing by zero, you should go back to whatever number you had before since it's an impossible operation.
Why can't we divide zero by zero btw? I start with nothing and I groups of nothing so that seems fulfilled.
@@Arcticgator64 Let me try a different approach here by comparing division to subtraction.
5-5=0. Subtraction allows us to take things and throw them into "the pit of non existence". When we have five cherries, and we subtract five cherries, we're taking those five cherries and throwing them into the pit of non existence.
But with division, nothing ever ceases to exist. Nothing is thrown into the pit of non existence. We have the same total amount of "matter", but it's split into smaller and smaller chunks.
In the physical world of reality, we would eventually divide so small we would have individual atoms, but Math isn't concerned with the physical world. In math we could end up with individual atoms, and divide each of them into a billion trilliong pieces.
The point is, for the equation (5/0=?????) I am asking you to take 5 cherries, and split them into so many pieces that they stop existing. Which simply cannot happen.
0/0= undefined for the same reason.
If you have zero cherries, and you evenly distribute them, you end up with *one group* of zero, not zero groups.
OR if you have zero cherries and you distribute them into groups that each contain zero: You end up with one such group. Not zero such groups.
In each of those cases, you end up with one group out of zero, while 0/0 implies that you can some how end up with zero groups of zero. you can't end up with zero groups when the entire point of what you're doing is grouping things.
@@H3Vtux Right. 0/0 or X/0 is like trying to say someone is a "married bachelor" or "single husband." Those things are incompatible by their respective definitions, and therefore combining them is meaningless or undefined aka impossible.
3:41
"I will take a Cherry and Eat it"
Death Note❤️🔥 lovers will understand
Интересная история...
Деление не всегда идет именно от умножения... или сложения... или даже вычитания...
Иногда оно выражает относительное значение между зависимыми величинами...
Такое выражение когда 0×0 большинство безоговорочно посчитают равным 0...
но на самом деле это поверхностный взгляд...
Ведь относительный ответ X/0=0 означает что X=0×0... без учета безотносительного остатка...
Хотя о чем это я... делить на ноль многим запрещено почти на законодательном уровне...
Многие думают что на ноль можно умножать а делить "почти" совсем ни как нельзя...
Типа X×0 = 0
это нормально лишь потому что 0/X = 0...?
Но из этого же следует что
сам X = 0/0...? Х=0⁰...? ну и где логика...
Давайте рассмотрим один из вариантов как обычно происходит действие деления...
6:2=6/2=(2+4)/2=2/2+4/2=1+(2+2)/2=
=1+2/2+2/2=1+1+2/2=3 (без остатка...)
7:2=7/2=(2+5)/2=2/2+5/2=
=1+(2+3)/2=1+2/2+3/2=
=1+1+(2+1)/2=1+1+2/2+1/2=
=1+1+1+1/2=3+1/2=3 с остатком 1...
И это также можно с помощью принятых форм математических записей выразить как 3½ или 3.5...
А что же происходит когда якобы производят деление на ноль...
многие говорят что это будет равно какой то бесконечности...
15:0=15/0=(0+15)/0=0/0+(0+15)/0=
=0/0+0/0+(0+15)/0=0/0+...+0/0+15/0...
и при дальнейших действиях всегда такое деление будет c постоянным остатком в виде того что "делилось" изначально...
в данном случае остаток 15...
и почему то вот об этом остатке или забывают или неосознанно замалчивают считая только бесполезные бесконечные действия не приводящие ни к какому результату деления...
Если быть немного логичным то видно что даже при бесконечном количестве таких действий деления (а точнее бездействий) вся сумма таких действий равна нулю с постоянным остатком того что было изначально делимым...
То есть само такое деление не происходит...
сколько было изначально столько и остаётся в остатке неделимо...
X:0=X/0=(0/0)×N+X/0=N×(0/0) с неразделённым остатком X
где N×(0/0)=0 и N число мнимых манипуляций не производящих деления...
поэтому N=0... а не бесконечность...
отсюда и получается два ответа при делении на ноль...
относительный ответ равен 0...
но именно ноль бессмысленных манипуляций...
а безотносительный ответ равен самому значению делимого X...
В примере 15/0 = 0 целых 15 нулевых...
или же 0 целых и 15 в остатке... именно умножая это число на ноль можно получить первоначальное данное значение...
Но об этом как правило неумышленно умалчивают... ведь этому не научили...
Общепринятая математическая терминология до сих пор никак не может внятно объяснить даже продвинутым математикам (что уж там говорить о простых людях) что же это за такие математические "действия" с нулевыми значаниями и почему multiplicatio (умножение) с "отсутствующим" множителем ноль возможно (при всей своей абсурдности)... а вот division (деление) на "отсутствующий" делитель в виде ноля ответ неопределен от полного категорического запрета до "игр разума"... "положительной и отрицательной бесконечности вселенной"...
или же "совершенно не имеет смысла"...
А если всё же хоть немного подумать...
Любое значение X не равное нулю деленное на ноль всегда имеет два значения...
Относительный ответ ВСЕГДА = 0...
Безотносительный ответ равен самому неделенному Х...
Полное непонимание современной математики темы умножения на ноль и тем более деления на ноль...
При записи умножения числового значения X на ноль получаем
-----
X×0=0 X /\ 0/0
Перенос ноля через знак равно превращает равенство в качельное неравенство типа
----
100% /\ 0%
Сам знак процентов кстати пишется как 0/0...
То же самое и с делением на ноль...
----
X/0=0 Х /\ 0×0
Перенос ноля через знак равно превращает равенство в качельное неравенство...
Я называю это нулёвыми значениями (не нулевыми а именно нулёвыми...
"ни разу взятыми" или "ни разу трачеными" то есть "нерастрачеными" если это об умножении на ноль...
"ни разу делёнными" или "неразделёнными" если это о делении на ноль)...
И непонимание до сих пор этого простого меня очень удивляет...
220 вольт делить на ток 0 Ампер это сопротивление = 0 Ом... но это просто не потраченое напряжение...
1 торт не взятый кусками ни разу (деленный на ноль) 1/0 это 0 кусков взятых но это все тот же 1 неразделённый торт...
5 монет ни разу не взятых 5×0 это 0 взятых монет но вопрос как правило звучит "сколько будет" а не сколько взято... так вот будет все те же 5 невзятых "нулёвых" монет...
И это всего лишь маленькая вершина айсберга действий с нолем...
Сложение и вычитание нуля не меняет первоначального значения... а почему?
да потому что на самом деле не происходит самого математического действия как такового... ничего не прибавляется и не убавляется при этом...
С умножением и делением на ноль происходит примерно тоже самое...
Ничего не происходит при этих действиях... всего лишь описывается что первоначальные значения не изменяются...
хотя ответов получается два
относительный = 0
безотносительный = 100% = 1×Х(нулёвое)
в зависимости от поставленного вопроса...
И безотносительный ответ имеет гораздо больше смысла...
5 метров × 5 метров × 0 метров =
25 метров² × 0 метров = ?
Относительно нуля ответ 0 метров³
Безотносительно нуля = 25 метров²
----
25м²(=100%) /\ 0м³ : 0м (= 0м²)
Перенос нуля (при умножении на ноль или делении на ноль) через знак равно превращает равенство в качельное неравенство
-----
1×X(нулёвое)(=100%) /\ 0(=0%)
Безотносительный ответ при действиях умножения и деления с нулем не учитывает как само действие с нулем так и его измерение...
5 яблок : 0 корзин = ?
Относительный ответ 0 яблок на корзину...
Безотносительный ответ 5 неразделенных яблок (без корзин)...
Убираем ноль и его измерение из вычисления и получаем нетронутые первоначальные данные и можем дальше с ними что то вычислять...
----
5 яблок нулёвых (= 100%) /\ 0 корзин × 0 яблок/на корзину (= 0)
Чисто качельное 100% неравенство...
Откуда здесь могут взяться какие то бесконечности? Или черные дыры?
Кстати 0(нулёвый) / 0(нулёвый) = 1
Впрочем как и любое другое число раз делённое на само себя...
Это всего лишь малая часть моего личного взгляда на действия с нулем и он не ограничивается только этими действиями...
Ноль не имеет численного значения...
он лишь описывает отсутствие чего либо...
Практически все действия с нолем на самом деле не происходят...
Многие пытаются ноль "всунуть" в основные математические действия... при этом абсолютно не понимая смысла самой записи таких действий...
но с нулем есть только математические "бездействия" и чаще всего действия "умножения" и "деления" связанные с нулем говорят что есть что то безотносительное до той поры пока вместо нуля в таких выражениях не появится числовое значение...
Лишь после этого выражение становится относительным...
Если напряжение = 0 и сила тока = 0 то это не значит что при этом всегда нет сопротивления...
Если скорость = 0 и время = 0 то расстояние при этом может быть каким угодно (в том числе и отсутствовать)...
Поймите главное перенос нуля через знак равно изменяет смысл равенства на качельное неравенство 100% того что было изначально и есть до сих пор и с другой стороны 0% того что якобы "взято"...
И никаких бесконечностей и всяких "черных дыр" при явном нуле в таких действиях никогда не будет...
Чисто математически ЛЮБОЕ "действие" когда Х не равное нулю "умножается" на ноль или "делится" будет равно ВСЕГДА нулю...
то есть отсутствию таких отношений...
Но смысл совершенно не в этом...
любое такое "действие" описывает лишь неизменность самого стопроцентно имеющегося значения X при этих нулевых "операциях" с ним...
Что касается "деления" 0/0...
(или по другому выражения типа 0⁰...)
Если вы делите два различных нуля один на другой (с различными мерами измерения) то "относительный" математический ответ этого будет 0 = 0% того что использовано...
Но безотносительный ответ будет равен 100% того что было дано изначально и не было использовано в ходе бездейственного "деления" отсутствия одной величины на отсутствие другой...
Если делить один ноль сам на себя (с одной и той же мерой измерения) то ответ равен 1 раз...
И никаких 2 раза... 3 раза... и т.п. у отсутствия величины в виде ноля не будет...
Интересно как можно объяснить 0/0 = 0⁰ с точки зрения "практических" равенств...
Многие считают что 0⁰ = 1...
Напряжение U = 0 вольт...
Сила тока I = 0 ампер...
Сопротивление R = U/I = 0/0 = 0⁰ = 1...? Ом...?
Весело...
Дистанция S = 0 километров...
Время t = 0 часов...
Cкорость V = S/t = 0/0 = 0⁰ = 1...? километров/час...?
Смешно...
Объем V = 0 метров³...
Ширина W = 0 метров...
Высота H = 0 метров...
Длина L = V/(W×H) = 0/(0×0) = 0/0² = 0‐¹ = 1/0...? = ...?
Сколько будет...? метров?
Интересно сможет хоть кто то это объяснить хоть как то математически...
Нужно знать предисторию таких нулей...
Многие математики почему то считают что у нуля нет обратной величины...
Другие свято верят что величина обратная нулю это "бесконечность"...
К сожалению (ну или к счастью) у "бесконечности" есть обратная величина равная 1/бесконечность...
И как бы она ни была мала она НИКОГДА не будет равна нулю...
И уж точно она не имеет безотносительного значения...
К тому же она имеет знак плюс или минус в зависимости от того с каким знаком берется сама "бесконечность"... (если конечно она хоть как то вообще может быть "взята"...)
У полного отсутствия в виде нуля есть обратная величина... это полное присутствие... и для нуля это равно единице... то есть 100% присутствие чего либо...
1/0 "относительный" ответ математически равен нулю... но именно он не имеет смысла а вот безотносительный ответ как раз равен "ни разу делённой" то есть нераздельной (нулёвой) единице...
Никакой бесконечности при делении на ноль не бывает... если только сама бесконечность не делится на ноль...
1/0 равна 0 целых и 1 в остатке... полностью неделённая единица...
Умножьте обратно 0×0 целых и прибавьте остаток 1...
получите изначальное имеющееся число якобы "делённое" на ноль...
Деление на целые части заканчивается когда вы не можете больше "отсоединить" от делимого количества записанного в делитель...
При нуле находящимся в делителе вы не сможете "отсоединить" вообще ничего от делимого числа пытаясь вычесть ноль...
даже при "бесконечных" таких попытках...
поэтому для действия деления на ноль это равно всегда ноль целых...
а остальное неделимый остаток...
Много есть искусственных точек нулевого отсчета в различных измерениях различных величин...
Но в большинстве своем они не имеют никакого отношения к делению на ноль...
Я лишь изложил некоторые видения своей теории математических "действий" с нулевыми значениями...
На сегодняшний день никто не смог переубедить меня в этом... и даже наоборот после дискуссий на эту тему мое личное убеждение в моей правоте возрастает все больше...
Вам же желаю всех благ в деле поиска знаний...
Now explain me again with apples 😅
#undefined #error
Think 0 n infinity same but opposites direction changed but path are same white and black are same darkness is lowest light and brightness is lowest darkness in computer we see each light with same pixels darkness is not off pixels
Ʇ = Nullity
∞ = Unsigned Infinity
0 ÷ 0 = Ʇ
∞ ÷ ∞ = Ʇ
0 · ∞ = Ʇ
∞ - ∞ = Ʇ
1 ÷ 0 = ∞
10/0=infinity
x ÷ 0 = undefined
is there a number that multiplied by 0 can give another number? no. that's why.
that's actually wrong, that's like saying if you raise any number to the power of 0 it always equals 1 which is not true you can actually get any number from every function but it's harder to do that with /0, all you have to do is just put the inverse of the function to cancel the effect
eg: 0×?=10 the answer is the fraction 10/0 since the two zeros cancel out you get the ten as the answer and you can replace the 10 with any number like negative,fraction,irrational numbers like pie, infinite, undefined numbers like 10/0 or even imaginary numbers like 3i.
Eg2: what number do you put to the power of 0 to get 10 the answer is the 0th root of 10.
As you can see these hard examples of only one answer require numbers that are undefined like n/0 , 0th root..., but it's always possible to get any number anywhere you want
0 and 1. Those are the two marks that first arose in human consciousness.
The first to arise was 1.
It was a jubliant time and when it arose thousands of years ago, it was welcomed. It symblized and affirmed existence. It is the primordeal mother, the one that gave birth to everything. All numbers are fundamentally 1, it gave birth to all of it. 1000 is nothing more than just more ones. And I am even talking about the so called imaginary and complex numbers.
Thousand of years later one fine moment in history is when 0 arose. It was most dreadful. It came with a trembling.
Human beings had nothing to do with it. Soon it had to be buried and buried it did for long long time.
The first folks that brought it back into the open was non other but people of India.
But why India?
It is because after thousand of years they finally got comfortable due to Krishna and the upanishad that death and nothingness is just a phase and you don't dissapear into an outer darnkess, into nothingness forever and forever. They had reincarnation.
While 1 represented the presence, the existence of things. 0 in its original true meaning was lack or absence of numbers.
Therefore 0 in its pure original form is not considered a number. It is in essence a representation of no number.
Fast forward to the present moment before I get too carried away.
What has not been fully settled yet is what is 0^0?
First of all this whole exponent thing is so convoluted and is taught so wrong, that most folks just scratch their head and walk off. It has ever remained full of it.
3^4 means that 3 is to be multiplied to itself 4 times.
How absurd.
If that was true and is taught that way,,,,, now comes the trouble and it is bound to happen and then every trick is used to get out of it.
So then:
What is 3^1? How many times you are to multiply 3 to itself? Once or what? Ooops.
Well more trouble:
What is 3^0? How many times you are to multiply 3 to itself? Ooops, try to even verbalize it and see where it leads you to.
But then when it comes to messing with 0 which is no number, an absence of number, you can say it but you can't put your finger on it, that was the whole idea, you are in for a treat.
0^0=?
I will leave this out in the open to be dealt with.
Hint: Wrong teaching.
The only way to get to the bottom of it, if you follow how exponents, what was exponent suppose to represent. Everything always arise from real life situation including quanterinoes or whatever they want to call it.
N/0=N0
0*♾️=undefined, not zero
No it's zero
@@hideralduhami go search it on google, it will say "undefined"
zero is state not number)
x ÷ 0 = error
But any number divided by 0 is ±∞
It's not, it's undefined.
@@H3Vtux that is becaues infinity is not defined like a number
because you CAN divide nothing, but you cannot divide BY nothing LOL
No,
10÷0=10Δ
delta equals infinity
First, Heh