Why can't you divide by zero? - TED-Ed
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- Опубліковано 10 чер 2024
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In the world of math, many strange results are possible when we change the rules. But there’s one rule that most of us have been warned not to break: don’t divide by zero. How can the simple combination of an everyday number and a basic operation cause such problems?
Lesson by TED-Ed, animation by Nick Hilditch.
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0 Divided by 0 = 0
In my mind, I say division is giving a fixed number of ice-cream to a fixed number of kids. If I have 10 ice-creams, and 5 kids I can give them to, how many ice-creams does one kid get? The answer is 10/5=2. However, if I have 10 ice-creams, but there aren't any kids that I can give them to, how many does one kid get? Well, we can't say zero OR 10, which means such an operation is undefined.
What about Lelouch? He got divided by Zero lol
If you divide by 0 it is 0 because say you have 10 cookies if you divided them between 2 people each person gets 5 well we all know that but if you have those 10 cookies to 0 people how many dose each person get well if you have no people to give them to then no one can take them there for each person gets 0 because know people can take them
try: # Stay safe during the Coronavirus!
10/0
except:
if ZeroDivisionError:
print('Answer is INFINITY STONE!')
“1=2”
*years of academy training wasted*
It is not like that. I think he is trying to say something about the function that is how a 1/x function behaves when x tends to zero.
Well
0="0"
0=[]
But "0" is not equal to []
@@tiredHooman I smell JavaScript here :D
"1=2" = 0
@@tiredHooman thats due to implicit conversions.
0="0" assumes you accidental used "0" as CHAR.
0=[] assumes that a number 0 is the same as a NULL
"0"=[] doesnt work because a CHAR is a string of length 1 even regardless of what is in it and 1 does not equal 0
this of it like this
"0" = []
is the same as asking
"0000000000000000000" = []
both are false
Math is quite interesting when you're not studying it for the test.
And kind and human when you have not sadistic teachers proving you that you are a amoeba....
😂
True
Yup
The most true thing I’ve heard in a long time
Another interesting method is to use limits. If you look at a graph of 1/x, you’ll notice that the graph skyrockets up when approaching zero from the right, and plummets down when approaching zero from the left. This is because if we begin to approach zero from the right (or positive) side (by starting a 1 and then to 0.1 and then 0.01...), the answer approaches infinity. But when we approach zero from the left (or negative) side (from -1 to -0.1 to -0.01...) the answer approaches negative infinity. This means that if we were to assign a value to the graph when it reaches zero (yes I know you cannot do this), it would have to equal both positive and negative.
In a sense that is a perfectly valid result. Do mathematicians not know how to use it (I suppose: "yet")? I'm sure they will find a big use for it if not already.
Which also means that it can’t be a function, because that would leave two outputs for the same x value
Yes.
And if you try to find a solution to
y = 8x +1
16x - 2y = -2
And do the math:
16x + -2(8x + 1) = -2
16x + -16x + -2 = -2
0x = -2 - -2
0x = -2 + 2
0x = 0
0x/0 = 0/0
It comes out to:
0/0 = ∞
So the solution is infinitely many.
Which, in my logic, proves n/0 = ±∞
Depending if n is -i or i where i is an rational or irrational number.
@@hstochla it can also be a solution of two linear functions.
Where there's the same slope and y-intercept.
y = -x
7x + 7y = 0
Equations ↑
Steps↓
7x + 7(-x) = 0
7x - 7x = 0
0x = 0
0x/0 = 0/0
Solution ↓
0/0 = ∞
There are infinitely many solutions to this problem.
imo i don’t think this is the best way of looking at it as 1/x^2 goes to positive infinity from both the right and left, but you still can’t divide by 0
This can also very nicely be explained by using a y = 1/x graph. Where x approaching from positive x-axis to 0 gives us an Infinitely large positive number. While x approaching from negative x-axis to 0 gives us an infinitely large negative number. And 1/0 cannot be both positive and negative infinity at the same time.
so it’s ♾️
10 ÷ 0= 0
Why can't it be both
@@christmas_just_a_week_awayIf you want that, look into something called the projectively extended real line.
Wait, so "MATH ERROR" isn't a number ?
I feel bad for ur math teacher 😂😂
Wait this is math? I thought it was History.
So I guess there wasn't a guy called "Infinity" who discovered Amerika...
Wait...wasn’t the guy who discovered america called pi?
No, that one discovered space.
You've got it all wrong. Syntax error discovered the earth, and many many years in the future pi found the continent now known as "America". Before that, there was already "i"'s all over America, but they didn't count since they were technically imaginary. But nowadays, if you take 1 apple and eat 2 of it then you can take what's left (-1 apple) and use it's square root to bring back an i. However, this is highly illegal so don't credit me as the one who told you.
(PS: MATH ERROR was the creator of earth)
"Congratulations! You've earned 2nd place!"
Me: "Let me tell you how 2=1."
that's smart sjsjjs
Gg
How?
gravity 9f a torus
But the video literally just said that isnt possible
I tried something similar to this. Just as sqrt(-1) = i, I defined 1/0 as o. Then, I went as far as I could trying to figure out all the properties of this new number that I could. I had to bend quite a few rules and I still ran into a bunch of contradictions. I hope that someday, as my math knowledge grows, I can make o a number.
Can you tell me more about o?
look up wheel theory
Update for o?
Do update when you get there 🙏🏻
Your contribution will not be forgotten.
Math teacher here! Beautifully explained. Thank you for the great work 🙏
My maths teacher has a shorter answer: "trust me, just don't"
Lol
thats solid advice tbh
😭
Actually as a maths-teacher myself, that's exactly what I'm doing ;-) But from now on I'm gonna show the argumentation of this video to at least my higher classes. Thanks.
Mine says
"Stick to CBSE syllabus"
2:41
"Why can't we take the square root of negative numbers, John?"
"Because you just can't, Emmy."
"What if I would call it "i"?"
"Wait, how would that even make se-"
*A WHOLE NEW WORLD OF MATH OPENS UP*
Does 'i' mean 'imaginary' or 'impossible'?
Cosmic Cyborg it’s imaginary
@@mohadeseh9736 *got it
AAA WHOLLLLEE NEW WORLDDD
Guess what the square root of -1 is the square root of -1 aka i
I really liked the comparison with complex numbers and the multiplication by infinity, was very cool and clear, I never looked at this angle
Didn’t know I could enjoy maths. This was wholesome. Thanks Ted-Ed.
Nice try, but we all know
0 ÷ 0 = ERROR
no. is 1
@@Wakwaw796 so nothing : nothing = 1 nothingness??
I dont know more... Lol
@@Wakwaw796 no, 0÷0 isn't =1
No its Syntax Error the OG
*Everyone gangsta till they realize the only number in the whole world that has no value is the most complicated to understand*
Because it's literally the image of a set of nothing.
@@stixoimatizontas and "nothing" doesnt exist, there is always something everywhere, no matter how empty the place looks. We can apply every number into our reality more or less, but not 0
HI
@@doriangrigorie7345 What if the you’re unconscious and everything around you is nothing
@@doriangrigorie7345 if you want to go from point a to b but you need to pass trought c and c is in the Middle, an the through d that is in the Middle of c-d and we apply that to our physical World, theres infinite SPACE un any direction, we are sorrounded by complete emptines
Sorry if I have grammar errors, my native lenguage isnt english
I always thought that any number divided by 0 would equal 0 because any number times 0 is 0 and if you swapped the numbers around to divide it you'd get 0 ÷ any number is 0
Opposite way! 0÷1=0 but 1÷0= ?
@@sheilak173 I guess it would also be 0?
@@VeggieBoii pretty sure it's undefined
infinity or something else
@@abhilashasinha5186 yeah
This is absolutely the best explanation that I've ever seen. Thank you very much!!
When you realize that "0" is a portal to two different worlds one is positive and one is negative
:0 the bizzaro world
That’s deep dude
r/showerthoughts
It's portal like upside down!!
This is a big brain moment
Other animal : *eat, sleep, reproduce. Try to survive.
Humans : "what if i divide 10 with 0"
o
0
The
Return to monke
That's why we are humans
I enjoy watching this alot more than learning at school for exam
hi :3 UwU
upload more video ☹️☹️☹️
Finally! I can now in piece acceppt that this is not possible! Great explanation! Thank you!
Next lesson, English ?
♾ next generation mathematicians breaking rule:
The inverse of infinity is 8
Frickin' sideway 8, always breaking everything
Sideways 8 is infinite :/
That's more like half of inverse
@@mattynek2 lol true
@@Bob_games100 r/woooooosh
"Imagine that you have zero cookies and you split them evenly among zero friends. How many cookies does each person get? See? It doesn't make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends."
-Siri
September 17, 2014 - Present
You are telling us about 0÷X=0 which is possible but we are talking about X÷0=Error here
Infinitely small
sans I was late to the party
@@sainbaatar518 No he is talking about 0÷0. 0÷X is always 0. If you were to divide, say 2 by 0, you can never multiply 0 to get to 2. You would never share the 2 to anyone, and if you are inversing the multiplication to get 2 ÷ 0, you never had the 2 in the first place, so you couldn't possibly share it. You get caught in a loop, which is infinite, and I think that is why the logistical conclusion people come to when dividing by zero is infinity.
@@sainbaatar518 0÷0 is also impossible, btw
I worked on the math work on division, multiplication and addition. 1:41 The thing is a example:12/2=6*2=12
Thanks for sharing!
Yes, and the mitochondria is the powerhouse of the cell
I despise comments like yours.
Ahh. The first meme.
Yes, and the ribosomes are the factories of the cell, generating proteins.
-Why can't you?
-yes.
and the energy currency of the cells is ATP , or Adenosine Tri-Phosphate
This one does not spark joy:
you cant devide by zero
This one sparks joy:
Zero has no multiplicative inverse
*INTERESTING*
And this is how the band joy division was formed.
One ? (No 1 aqui)
um
Divide*
Sensible explanation, but you cannot use Multiplicative Property of Equality for operations involving infinity. MPE is limited to finite real numbers, not infinity.
also relevant is that its approaching -infinity from the other side making the graph of 1/x asymptotic at 0
Take 10$
Divide it with all your friends
Since you have no friends 10÷0= infinity
Now you have infinite money
PROBLEM SOLVED...
Well You are present so divide it by 1 😂😂
Utsav Mishra Unless you’re inside out. You wouldn’t count as 1 but -1
Yeah, it'll be infinite money. But it isnt your money my dude
If you aren't present yourself. You wouldn't get the money. Bcz at first, that money is for your friends only
why there is no "HAHA" react???
Me: *solves the question*
The whole universe: *collapses into itself*
I've had that same notion for a long time, too. 😀
Infinity × 0 = 0
well it's easy actually, you cant divide 8 pizza to noone right? you can't share pizza if there's noone to share. so the answer is you can't.
@@helldronez yeah but you can eat it all by urself tho
@@chalking2641 thats true lmao, now i want 1 pizza damn
Ty for the answer
im here to appreciate some amazing animation
Me explaining my parents after getting my maths exam result:-
Let me explain you how 20=0 and 100=0 . Therefore we conclude that 20=100. You must be satisfied now
😂😂😂
🤣🤣🤣🤣😂😂😂😂😀
Gold
If you're that smart how do you get 20 🤔
He is smart.....or wait....maybe he's not 😂
“That’s not necessarily wrong, it’s just not true”
In our world of numbers.
"He is not necessarily dead, only his heart isn't beating."
@@MayMayCentre that presupposes a particular philosophy of numbers.
I get that...true is not wrong
I didn't lose, I merely failed to win!
Square root of negative 1 is still called as imaginary number 😅 Btw very interesting and informative video. And one of the best thing about TED-ED is they literally make videos on every topic whether it's science, literature, economics anything.👍💙
One cool thing about i though is how it's used in quantum mechanics to describe the probabilistic wave function. It is used to get to exceptionally accurate numbers in the real world. It isn't just a weird math trick it is useful for tangible real world experiments which have given the most accurate scientific results in human history.
Great explanation
5 minutes of TED-Ed made math much more interesting than 13 years of school ever did.
😏😂👍
That's hella true
True
You just had a bad teacher
Getting tired of these kind of comments. The people who made this cool video also had to go through boring math and study pain before being able to distill such knowledge in a video. You can't compare formal education with entertainment videos as if one could replace the other
"Two plus two is four." - Big Shaq
Minus 3 that's freaking maths
"2 + 2 = 5." - George Orwell
1+0= Babies
∞=0n Me
6÷0=?
I see division as not only splitting it up but also repeated subtraction. Dividing a number by zero is asking how many zeros it takes to get that number to zero
The proof by contradiction was fun to watch in the end!
That green-bearded man looked sad after hearing it was a story for another day. I would love to hear that story explained in such an affordable and picturesque way. Love your videos!!
That was Bernard Riemann. He was a pretty melancholy person throughout his life. His mathematics is super neat though!
Hahaha I didn't notice
*all around me are familiar faces, worn out places*
J tell it to your bunny friend, donnie darko, and get me the reimann method!
0 comes in set of whole number.
*Holds up no fingers
"How many fingers am I holding up?"
*"infinite"*
Wholesome Lad made my day
That i was about to end
*wear infinity gauntlet*
HhAHha
Sans is dead and We killed him 😁😂
XD
This blew my mind
The best explanation I've seen is when you graph the negative numbers too. You'll see that at zero the y value tends toward both positive and negative infinity at the same time
Yeah I was annoyed that they didn't flag it up.
That's how my Algebra teacher explained it
@@luk1416 You have separate teachers for algebra and geometry?
@@animezoneamv9116 I'm not taking a geometry class
so 0?
Teacher :- How can we kill students?
Mathematicians :- Yes
The length of the knife used to stab their students? 1 ÷ 0
@@totallynotafanficreader7850 🤣
Normie
:-
@@totallynotafanficreader7850 1 knife divided by 0 students because they all ran away
HEY ALL GUYS!!! i got i question, at the vedio explain 0*∞+0*∞,he combine (0+0) to multiply ∞ , the(0+0) equal to 2*0,so the consequence is 2*0*∞ equal to 2 in his defination!
i remember watching this when i was in 4th grade bruh ig i can now make a slight critique with how u couldve improved on the visuals there in some of the math parts, i wouldve appreciated that back then lmao
This is how my algebra Professor explained it and I still remember till to this day. Probably the best math teacher I have ever had.
what if we make 1/0 equal some made up number? if 1/0=U, problem solved
Looks like he once counted zebra. After counting all he counted Allzebra.🤣🤣🤣
Yet another example that explaining "why", is the best way to teach.
"Imagine that you have 0 cookies and you split them evenly among 0 friends. How many cookies does each person get? See, it doesn't make sense. And Cookie Monster is sad that there are no cookies. And you are sad that you have no friends." - Siri, 2018
Eric Lee indeed
My God Siri 😂😂😂😂
@Eric Lee But she has probably said it at least once in 2018.
Yes, I have 0 cookies and 0 friends
Asked by Ramanujan ages ago
You are very interesting like you changed my thinking about this
This video made math so much fun
I tried to divide by zero once
Had to find another univerve soon after mine was destroyed
I tried the same but I ended up making another universe
Raihan Purboyo oh u must've divided by infinity then.
Brb amma type 0÷0 in cal
The Ace Of Spades so did I and then I tried to look for new eyes cuz mine were plucked by the teacher X)
Identity of Rick Sanchez confirmed
I accidentally divided by zero while doing homework when exhausted. My whole notebook burst into flames.
This shook my whole idea of maths and now my head is spinning.
-I'm gonna live dangerous from now.
-How? Are you gonna go live alone, without anybody and be independent?
-No, i'm gonna divide numbers by 0.
- ...
*divide by zero, start autocombustion*
wha-
be good, start stuff like hippasus created irrational numbers.
The multiplicative inverse could also be called
“Reciprocal”
exactly
Both are same
Not could. They are equal.
Such a smartass comment...
I thought that the multiplicative inverse is applied to whole numbers only and reciprocals to fractions... But yeah same answer.
1÷0 is indivisible, but I also read that 1/0 is used to represent infinity.
And what is the standard in programming? When a 1÷0 or N÷0 situation occurred, what is the standard way to handle that? Return an error occurred and skip it or just skip it? or used an error capture algorithm?
as always, their animator is so good 😀
“Imagine you have zero cookies and you split them among zero friends how many cookies does each person get? See?
It doesn’t make sense, and cookie monster is sad that there are no cookies, and you are sad because you have no friends.”
Hi Siri
Nah
We can split infinite zero cookies among infinite zero friends
It is simple:
0 / 0 = 0
Ace Kermitcat nice the Siri line of when you ask her what’s 0 divided by 0?
4:03: It's all zero?
Always has been
Wait, lemme fix it for you:
"Wait, it's all zero?"
*"Always has been"*
**proccedes to pow pow**
0
?!
🔫
Pico
xD
Fact: Only Chuck Norris' calculator properly shows dividing by zero
I was wondering why they didn't just make new rules. 3 minutes in and my hopes and dreams are crushed XD
I made new rules check this out lol...
The recent discovery of net energy gain produced in a fusion reaction made me realize I discovered the formula for cold fusion a while ago. Here is the equation...
0^a * 0^b = a * b
This means...
0^1 * 0^1 = 1 * 1
Which means...
0 * 0 = 1 * 1
Which also means ...
0 * 0 = 1
I'm attempting to highlight there is a spectrum to what we call nothing or what we mathematically denote to be 0.
Conceptually speaking, what we call/describe as nothing physically holds energy and this is proven by zero field energy or the fact that absolute zero still has yet to be discovered to naturally exist in this universe.
This math is a product of my attempt to mathematically describe the energy stored in vacuums of space we tend to call nothing.
Here is the math/formula that lead to this conclusion...
x/0 = 0^x
If you solve for x then...
x = 0^x * 0
If x = 1 then that means...
1 = 0^1 * 0
Which also means...
1 = 0^1 * 0^1
Because I'm still a mathematician, i will still acknowledge and say...
1*1 = 1
So due to the transitive property and continuing with the equation above, this must be true...
1*1 = 0^1 * 0^1
Which lead me to the conclusion...
a * b = 0^a * 0^b
Or...
0^a * 0^b = a * b
( You should be aware I've taken Algebra 1 and 2 and AB Calculus and I'm still saying what I'm saying. If you disagree with my use of exponential notation, my algebraic logic is still sound.)
Thank you
-Tony Sparks😁😎🤑
@@tonysparks1682 im currently trying to dissect this incoherent comment
edit: your algebraic logic is basically nonexistent
@@tonysparks1682
> x/0 = 0^x
This is wrong and any steps that involved it as a hypothesis are unsound.
0^a * 0^b = a * b
This is nonsensical. 0^a = 0 * 0 * ... [a times] ... 0 = 0. Your formula holds if and only if a * b = 0, and your second step - assuming a = b = 1 - is thus unsound.
I don't know what algebra courses you've taken, but if they did not make the fact that this is completely incorrect mathematics clear, they weren't very good.
Maths Teacher : "So, one equals two"
Me: "Oddly enough, that's not mathematically wrong"
Now that 2+2=5 is making sense.
You can divide zero by reality warping
The boundary between zero and something is division
By that logic you can divide a nonexistence with existence
Existence of Boundary
*Listen!*
Math is useless!
Not everything, + × ÷ - are usefull, but things like 2x+3y=10, thats just useless, they tell us its usefull, but look at my mom and dad! They were the best in their classes and now they don't even think about math
@@aklsamaan7622 Except of course that it isn't. Just because you, or your mom and dad cannot find uses for math doesn't mean there aren't any. Every time you drive your car or take an airplane or use your mobile phone or use any other piece of technology you are using the fruits of math.
If you can explain it why it is not wrong, then maybe the teacher might give you some points.
But usually you use the given rules of "normal" maths where it is in fact wrong for your problem
because there's a fine line between a numerator and a denominator...
Software Man haha
Software Man Back into the cave you go
Software Man nice
hahaha
And the division is clear in that..
Very well explained. Subscribed.
I've thought you could say if you divide by zero, you've not divided it, so it's still equal to the original number.
X/0 can be applied to calculating the surface area of a sphere as well as calculating the density of a singularity
When you have 5 minutes until your math test but you still want entertainment:
Underrated comment 🙁
@@waitwut.2749 underrated indeed
Underrated confirmed it is indeed and underrated comment
@@rodanthekingofskies9446 I agree
@@waitwut.2749 yeahh
“If you split 0 pieces of pizza between 1 friend how much would each friend get?" 0
“If you split 1 piece of pizza between 0 friends how much would each friend get?" Wait a sec
And If you split 1 friend between 2 people , you’ll be sent to federal prison.
Math is hard.
@@bootypluderer I actually laughed out loud when I read this
1 because ur the only one left :)
@@soniahurtado9778 he has no friends BRUH
The universe ceases to exist
1:16 omg I never thought of the symbol a something split in half like that!
How to make a mathematician cry: 2:00
It's just a bug. Maybe in the next universe update, we can divide by zero.
Hilmi Dzul Lol
Don't push the glitch the universe might crash
This comment deserves like 300, 500 likes like the rest of those witty perceptions to this video
Omg I saw herobrine.
+Scientific Skyfire Δ did someone take your money?
"Riemann, a mathematician so wise and so powerful, he could influence mathematics to divide ... by zero."
"Can this power be learned?"
"Not from this video."
Ironic, he could save others from being divided by zero, but not himself.
I know what’s troubling you, listen to me. Don’t continue to be a pawn of real numbers!
I just generated the exact same thought as a 7th grader
2:50 - opening up a whole now world of hard homework. Jokes aside, this was really interesting.
I watched this while eating quesadillas. I still taste it.
"Imagine you know nothing about infinity" done and done.
infinity ♾
😂😂
I mean all this mess created by humans anyway universe doesn't know anything
Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol[1] and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli)[2] regarded as infinitely small quantities, but infinity continued to be associated with endless processes.[3] As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done.[1] At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes.[1][4] For example, if a line is viewed as the set of all of its points, their infinite number (i.e., the cardinality of the line) is larger than the number of integers.[5] In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object.
The mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets. Among the axioms of Zermelo-Fraenkel set theory, on which most of modern mathematics can be developed, is the axiom of infinity, which guarantees the existence of infinite sets.[1] The mathematical concept of infinity and the manipulation of infinite sets are used everywhere in mathematics, even in areas such as combinatorics that may seem to have nothing to do with them. For example, Wiles's proof of Fermat's Last Theorem implicitly relies on the existence of very large infinite sets[6] for solving a long-standing problem that is stated in terms of elementary arithmetic.
Yes, I copied that off of Wikipedia
@@skullmastergamer wow. Amazing that u gave me all that info and I STILL know nothing about infinity
I sometimes get a bit of amusement out of testing how various caculators respond to division by 0. Most just say "Error", but my favourite response has to be "MyScript Calculator", which uses hand-drawn symbols as input:
The app recognises hand-drawn symbols and translates them to computer-written symbols, but when I write something like "0/0", it autocompletes to "0/(0+?)", as if the calculation is incomplete. Basically, the app just assumes that I'm not done writing the expression, and refuses to give any answer until I do. It makes the app seem so sassy.
"Oh, you have a 0 in the denominator? Well, that doesn't make any sense, so you MUST not be finished writing yet. Go ahead and write some more. I'm waiting."
Love that
That's because of discrete maths, a computer can't divide by 0 (basically if you have the algorithm will go into an infinite loop, and the quotient will grow larger and larger until it exhausts all available memory and your computer is going to die), so basically it's a way to prevent an error and the destruction of your device haha
hilarious
Lol awesome
Sounds like your calculator is related to KITT
For me it make sense if you write it differently, not “infinity = 1/0” but “0=1/infinity “ essentially the same but solves the problem with 1=2 cause there will be 2/infinity
Thanks a lot
I did this in my school days, never thought someone will represent it in such a beautiful way.
:)
Nothing can equal infinity, because infinity is not a number, but a concept. You can approach infinity, but you can't reach it because it isn't a real number.
say something new, 'cause my maths teacher has told me that infinite times
Infinite is a concept of how numbers wont stop or u can say forever
🤔
Steve infinity war
Is math artificial, or part of nature?
Basically, the dividend is the Y on a graph and the divisor is the X. Since Y is the dependent variable, it can only change value if X changes value. If X changes and Y doesn’t, than that is okay (0/1=0) however if Y somehow changes without X, than the laws have been broken. Therefore 1/0 =0. The reason Y is the dividend and X is the divisor is because Rise/Run is the slope of a line. You can have a line with 0 slope, but not a line going straight up forever. It would be the same as just a dot.
Another issue with defining division by zero to be infinity involves rational functions where one side of the limit approaches infinity and the other side approaches negative infinity.
This is quite helpful for my engineering maths
Timothy Kong oh you young soul....
Timothy Kong how?
yeah how??...does it help???
Same fam... 4th year Mechanical Engineer with two minors in Renewable Energy and Mathematics
Not sure if bait, but limits of functions that divide by 0 are used everywhere in calculus, explicitly or not.
“If you divide by zero, the universe explodes”
-my math teacher, 2021
And the internet explodes with conspiracy theories!!!!
@@richarddeschambault3696nice!
1:51 reciprocal
The multiplicative inverse is also known as the reciprocal if I remember correctly.
When he started talking about what multiplication and division _are,_ I thought he was going to touch on how if 2 x 5 = 10 and 10 ÷ 5 = 2, that means that if you add 2 five times, or have five groups of 2, you have 10, and if you separate 10 into 5 groups, you have 2 in each. So if you want to divide 10 by 0, that would be like saying you want to split 10 things into groups with 0 in them, and how many groups do you have? Or in reverse, how many groups of 0 things would it take to add up to 10? Well, neither one is physically possible.
Physically possible is pretty irrelevant to math, though. That's something for physicists and engineers to worry about.
You can define a math where dividing through 0 is possible. You're probably going to have to give up some other features the more common ones have, like the distributive property or multiplicative inverses, and it might not be terribly intuitive. But it is hardly impossible.
Dividing by 0 isn't forbidden, it's just not defined in the default math most people learn.
@@Llortnerof R/iamverysmart?
Okay, but physicists and engineers _literally use math._ The reason math exists as it does is because of the world we live in. Universal constants in physics and astronomy were designed to allow us to mathematically calculate things we can't or don't have time or resources to study. And the results contribute to real-world projects.
How do engineers build structures that can withstand hurricane force wind? Well, they have to calculate certain numbers and dimensions... with math. Force, vector, friction -- they're all real concepts translated into mathematical form in order to quantify them.
Math does hold true because we made it that way. Sure, we could make it _not_ that way, but that wouldn't make much sense, literally or figuratively.
So I really don't get the point of calling out my post by saying it's only one kind of math. Math is math. There's only one. If you wanted to "define a math" where other things are possible, that would mean changing math. Sure, you could say dividing by zero is possible, but when an apple falls from a tree, you wouldn't be able to calculate how long it takes to reach the ground.
Also, when I say "physically possible," that's not the same as saying things are _impossible,_ just that they translate to real-world concepts. The square root of -1 is pretty impossible, but mathematicians still use it because it's useful in complex calculations. That's why there's a differentiation between those so-called "complex" numbers (some of which are real, some of which aren't) and just plain "real" numbers. Those are separate _branches_ of mathematics, if that's what you meant. I'm not really sure.
@@matrixphijr You're still working in the realm of physicists and engineers, not math. Math is an entirely abstract, logical construct completely detached from physical reality.
Your physical constants are merely how these things are represented in mathematical terms. They weren't devised so math could be used on them. They are the result of using math to describe these things.
Math holds true because it is entirely based on logical conclusions from a set of predefined axioms.
Defining a math does not mean "changing math". It means creating a new math. The regular math you're used to still exists besides it.
Math is essentially a language. Defining a new math is similar to creating a new dialect.
What you're calling "seperate branches" is all first semester university math. By second year a math student will already have dealt with maths way more complex than that and may well have built a simple one themself.
And, uh... impossible literally means "not possible". So if you're saying something is not physically possible, you're saying it is physically impossible.
@@Llortnerof It's no wonder you compare it to a language, since you're a master of twisting words.
Look, I'm not having an argument about this. You realize you responded to a comment breaking down why 2 x 5 = 10 with a bunch of rambling nonsense about creating a new system of math where you can divide by zero? And frankly, my dude, there's a reason no one's done that already -- actually, two -- because it would have no bearing on reality and therefore no use whatsoever, and honestly, no one cares. To borrow your ideology, it would be like creating a language that no one speaks.
@@matrixphijr All you're showing here is that you have a very limited understanding of math. Everything you're claiming is pointless? Has already been done, often multiple times, and at least once simply to show that it can be done.
Including creating new languages nobody speaks. In fact, that's kinda the default for a newly created language since it is new and thus doesn't have any speakers yet. Hasn't stopped people from not only creating a propper grammar for, but also translating Shakespeare into its original Klingon.
I like how much detail this goes into while still being concise
Division requires a legitimate amount of something. Since 0 is absent of content, such operation is dismissed by the arithmetic contradiction the number possess
BRO! INCREDIBLE
That's why you cook the brisket all at once, then slice it once cooked. Because 0 people shows up until it's cooked.
Mad lad just opened a whole new dimension
Suggested video title:
How to disrupt the space-time continuum
Hahaha😂
If we have 1 cake and multiply it by 0, it means we made cacke disappear. If we divide 1 cake by 0 that means we divide cacke by nothing, we made division dissapear, defeating the whole purpose of dividing it. So its equasion that allways defeats its own purpose, its a non starter. Nothing happens if you divide by 0 because division can never start because it cancels itself.
I actually searched for a video explaining this because I saw a quadratic equation in which 4 was taken common and below 0 so as to cancel 4. So what I thought was taking the quadratic below 0 but I realized my mistake.
The female character has a hairpin that's shaped like the division sign.
I thought it was a bandage....
How dare you assume his/her/it/alloftheabove gender¿¿¿¿ #triggered
Thats called detailed animation
thats a cute little detail
and the other scientist has hair that was divided by zero
In Soviet Russia, zero divides by you
Zero divides by WE
@@deepaksinghairy7885 it's funny because everybody gets nothing
@@glanni not everyone We gets nothing
@@deepaksinghairy7885 please excuse my wrong use of words 🤣
@@glanni not my instead use Our
SIR, CAN YOU PLEASE TELL ME WHICH SOFTWARE YOU HAVE USED IN THIS VIDEO.....
Technically there should be an exception for when you do *x*/0, where everything gives you only zero. Now the real problem should be finding a way to add whichever thing we make equal to *x*/0
*My mind hurts.*
Just Some Random Person not possible, your brain has no pain receptors. You're just formulating a negative reaction to a concept you don't want to put time to fully comprehend.
Andrew Vaughan I think your trying to be funny but at the same time I think you're serious
Yes.
Just Some Random Person mine too
I found a video that hurts your brain even more.
ua-cam.com/video/emlcwyvnsg0/v-deo.html
and involves 0 and infinity