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? Normally, dividing by smaller

and smaller numbers gives you bigger and bigger answers. Ten divided by two is five, by one is ten, by one-millionth is 10 million, and so on. So it seems like if you divide by numbers that keep shrinking

all the way down to zero, the answer will grow

to the largest thing possible. Then, isn’t the answer to 10

divided by zero actually infinity? That may sound plausible. But all we really know is

that if we divide 10 by a number that tends towards zero, the answer tends towards infinity. And that’s not the same thing as

saying that 10 divided by zero is equal to infinity. Why not? Well, let’s take a closer look

at what division really means. Ten divided by two could mean, “How many times must

we add two together to make 10,” or, “two times what equals 10?” Dividing by a number is essentially

the reverse of multiplying by it, in the following way: if we multiply any number

by a given number x, we can ask if there’s a new number

we can multiply by afterwards to get back to where we started. If there is, the new number is called

the multiplicative inverse of x. For example, if you multiply

three by two to get six, you can then multiply

by one-half to get back to three. So the multiplicative inverse

of two is one-half, and the multiplicative inverse

of 10 is one-tenth. As you might notice, the product of any

number and its multiplicative inverse is always one. If we want to divide by zero, we need to find

its multiplicative inverse, which should be one over zero. This would have to be such a number that

multiplying it by zero would give one. But because anything multiplied

by zero is still zero, such a number is impossible, so zero has no multiplicative inverse. Does that really settle things, though? After all, mathematicians

have broken rules before. For example, for a long time, there was no such thing as taking

the square root of negative numbers. But then mathematicians defined

the square root of negative one as a new number called i, opening up a whole new

mathematical world of complex numbers. So if they can do that, couldn’t we just make up a new rule, say, that the symbol infinity

means one over zero, and see what happens? Let’s try it, imagining we don’t know

anything about infinity already. Based on the definition

of a multiplicative inverse, zero times infinity must be equal to one. That means zero times infinity plus

zero times infinity should equal two. Now, by the distributive property, the left side of the equation

can be rearranged to zero plus zero times infinity. And since zero plus zero

is definitely zero, that reduces down to zero times infinity. Unfortunately, we’ve already defined

this as equal to one, while the other side of the equation

is still telling us it’s equal to two. So, one equals two. Oddly enough,

that’s not necessarily wrong; it’s just not true

in our normal world of numbers. There’s still a way it could

be mathematically valid, if one, two, and every other number

were equal to zero. But having infinity equal to zero is ultimately not all that useful

to mathematicians, or anyone else. There actually is something called

the Riemann sphere that involves dividing by zero

by a different method, but that’s a story for another day. In the meantime, dividing by zero

in the most obvious way doesn’t work out so great. But that shouldn’t stop us

from living dangerously and experimenting

with breaking mathematical rules to see if we can invent

fun, new worlds to explore.

Thank you so much to everyone who has joined us over on patreon.com/teded! Your support is helping bring free educational materials to curious, life-long learners around the world!

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1÷0= infinity

1=2=3….=0.

Why wouldn’t 0 x 00 infinity = 00 infinity -1 ?

To the person who invented zero

Thanks for nothing

Chuck Norris is the only one who actually can divide by zero no problem

Bcoz I want to make views

You can. I did it once.

Please do a video on reimann sphere

3 ÷ 0 = inf

Thank you for this video and easy explanation. On a different note, Indians invinted the zero, so I hear. Then Arabs were the first to implement it (Not sure of the exact history).

Only machines gives error..

you can divide by zero if you put a 1 in front of it

So nothing = everything .🧐 😂😂😂

Because zero is nothing5×0=0 oof

Oooh so you're saying that if we divide the cake pieces by zero, then we'll get infinite number of cake pieces?

A moment of silence for the braincells that died during understanding this

You can divide zero

If 5×2=10

and 10÷2=5

Then N×0=0

THEN 0÷0 IS ANY NUMBER

🤯😂✌️

1546 Maths Problem Of The Year: division by zero | Mathematicians: nope

1547 Maths Problem Of The Year: 1/0 | Mathematicians: Don’t care

1548 Maths Problem Of The Year: 1 over zero | Mathematicians: No

…some time later…

1572 Maths Problem Of The Year: square root of -1 | Mathematicians:

IMAGINARY NUMBERS TIME1573 Maths Problem Of The Year: Divide by zero | Mathematicians: Big no

0 ÷ 0 has too answers 1 and 0 1 of 0 is 0, 0 of 0 is 0

But what if we make a rule where 1:0 is aleph null and 2:0 is aleph 2 and so on..

but what is zero… how can it be nothing…bcz nothing doesn't exist… think…

Defined it as p, solve your problem, you can't define a new thing using old expressions

Infinity . Zero = infinity

When you ask Siri what is 0 divided by 0 and the only thing you remember is “you have no friends”

I always thought that it could be that anything divided by zero, would equal zero.

If you look at it in the sense that “divide” means “split into groups” then:

10 divided by 2 equals 2 groups of 5.

10 divided by 1 equals 1 group of 10.

10 divided by 0 equals 0 groups of 10 (which ultimately equals zero).

It’s the reverse of saying:

2 x 5 = 10

1 x 10 = 10

0 x 10 = 10

If we could divide by zero, we could prove 1 = 2 or 20482 = 828472

I wonder if 0%2=-0,5

Um..

0

0)0

0

–

0

DUH

1/0 = any number in itself infinity too

0 divided by 0 is 1

W R O N G0÷0=infinity gaunlet

I solved it

1 = 2

WTF ?

That's funny. There's a video explaining why you can't divide by zero. I always thought that was, you know, SELF-EXPLANATORY.

Ok, now I’m lost in the universe 😅

Easy 0 divided by 0 = 0

I dont have the simbol ok

Zero is invention by we Indians

1=2 WTF i ccrazy now 0=1,0=2 =>1=2 : i need go back to school now ;v

Sir (0*♾ )+ (0* ♾)=0*2♾=2, 2♾ may be greater than real ♾. Sorry if I was wrong ,I am seventh class student…….

Zero isn’t a number and so the division can never work. Can’t see how this calculation is even being discussed. Hardly a brain teaser

What do you use to make this vid?

Zero is the number for nothing

Yeah I still dont get it

Any programmers in the house.

I know 0 is great 🤣😂😅

Multiplicative inverse of 0 is 0

0÷0 = 1

You can DEFINITELY divide any number by zero. Your only problem is that any number divided by 0 is infinity.

Let X be any number from R excluding 0, as it's a special case.

Limit as i->0 (X/i) = lim as i->0+ (X/i) = lim as i-> 0- (X/i) = Infinity

Therefore, any X real number divided by 0 is infinity. QED

0/0=infinity

a/b=c

c*b=a so,

10/2=5

5*2=10

so if you change it up put zero in the equation,

x*0=0

0/0=x

x can be any number(including 0) in this- x*0=0 equation – 5*0=0, 827*0=0, etc then those turn into 0/0=5, 0/0=827

the fact that you can plug any number of infinity in for x makes 0/0 infinity

and if u find a flaw in this, please comment it because i'm very curious if this actually works

EDIT: instead of infinity, it might be more correct to call the answer "all real numbers"

Because "duh" 😉

1 divided by 0 is 0 k makes sense

0 divided by 0 is what? MATH ERROR? Ok if you say so

0÷0=1 because a number divided by itself is one

Its because zero is not a number

0÷0=2

https://youtu.be/Ijxfi1ChI6c

Me before even clicking the video: IT'S NOT GOING TO BE ANYTHING, BECAUSE IT'S NOTHING!!!

my 14-year-old brain: (┛✧Д✧))┛彡┻━┻

infinity is an idea not a number. you just can't treat it as a number

I know the reason!!!!

YOU CAN'T DIVIDE BY ZERO JUST BECAUSE NO NUMBER MULTIPLIED BY ZERO EQUALS A NUMBER THAT IS MORE THAN ZERO!!!

Note: Zero ÷ zero = every number because if a number that is more than zero will be mltiplied by zero, it always will be zero

If 1/0=K, 2/0=2K, K×0=1 0/0=1

i think " why 0 x any number = 0 " is more existing

0/0 = MATH ERROR!

Since 0.99… = 1, does -1.99… equal to -2 or 0? Help, please.

What you did wrong is that when you multiplied infinity by itself it didn't become infinity^2, you dimwit.

I need to point out that this is a joke in the case that self-proclaimed mathematicians get angry.

Wouldn't it just be 0 or in the negatives?

0 is not a number

i wonder how big dividing by negatives can be…..

9

— = 0.9… = 1 <Still questioning

9 this

Then make a video on the Riemann sphere then

Simply put, and what he's saying long windedly is, 10 divided by 0 = 10……….0 divided by 10 = 0……….0 divided by 0 = 0.

One more interesting fact: if you divide a number by some value which approaches 0 from the right (positive numbers) then the answer approaches positive infinity; but if the value approaches 0 from the left (negative numbers) then the answer approaches negative infinity!

You can see this by ploting the graph of (1/x). There is a complete discontinuity in the function at x = 0

can you divide something by zero?

NO YOU CANT

there i just saved you 5mins.

0 divided by 0 is indeterminate dude

My calculator exploded when i tried this

0 % 0 = -0

normal number + imaginary number = complex plane = plane of the mandelbrot set

I Regret Skipping Math Class.

Just wondering, aint (0x infinity)(0x infinity)= 0x 2infinty because infinity ain't no number, it's undefined like x. Because adding them together seems wrong.

If you had (insert variable) of (insert any matter) and you make them in groups of zero

You can get infinite groups of nothing

You will get infinite groups

But of nothing

Unless nothing equals a random number but 0 then

You either don’t try this

Or you get or take away your (insert matter) in (insert a random number)

Ok

In long division, how do you do 3 divide 30

1:55 But 3*2 ≠ 6*0.5

You have nothing so you can't give nothing

I've told that you cant divide 0 ÷ 0

If you could divide by zero then the rule "something can't come from nothing" would be broken since if you divide a number with itself then you get 1 so 0÷0=1 but…

if there are an infinite amount of numbers between 0 and 1 …( 1/2, 1/4, 1/8, 1/16…) and an infinite number of numbers between 1 and two, then infinity plus infinity should be two.

2+2=5

Prove me wrong

Its can be divide it cuz 0.1 to 0.9, so, now you know now huh?

Example:

0.1 ÷ 1 = 10

See? I told you its can be

Is this really a video?

If you have one cookie and divide it between your zero friends, cookie monster gets it all. Nom nom nom.

So:

1 / 0 = greedy cookie monster

A day in the life of a daft mathematician:

Mathematician – What's 1 divided by 0?

Boss – You're fired.

What does that green diagram in middle represent at 4:30?

DevideByZeroException

Pamiętaj cholero nie dziel przez zero

10÷0=inf

0/0 is basically any number that isn’t infinite.

What if 0 × ∞ = ∞ because ∞ × a number exceeds all else?

3:48 "so, one equals two."

uhhh okay?I program python to get 1÷0 and yeah its crash

because my teacher said so

0/0=0!!!

My brain..

zer + 0 = zer0