Welcome, Guest: Register On Nairaland / LOGIN! / Trending / Recent / New
Stats: 3,152,993 members, 7,817,926 topics. Date: Saturday, 04 May 2024 at 11:06 PM

Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 - Education (17) - Nairaland

Nairaland Forum / Nairaland / General / Education / Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 (96042 Views)

Photo: Mathematician Successfully Proved 0 Divided By 0 Equals 2 / Mathematician Successfully Proved 0 Divided By 0 Equals 2 / See How A Mathematician Proved 0 Divided By 0 Equals 2 (photo) (2) (3) (4)

(1) (2) (3) ... (14) (15) (16) (17) (18) (19) (20) (Reply) (Go Down)

Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by daveP(m): 7:12pm On May 10, 2015
grin grin this guy just spice tinz up


nice try.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Enice(m): 7:13pm On May 10, 2015
You are turning mathematics on its head. 0/0 is undefined because anything divided by 0 is infinity. Reason being that 0/0 can be equal to anything. For example, 0/0=500/2 which is 250 or 0/0= 64-64/4-4=4. No reason going to all those manipulations.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by asoderock(m): 7:15pm On May 10, 2015
Well, I give lots of compliment to the op for such a simple but thought provoking analysis.

If you are a mathematician or lover of mathematics, you will know that no valid mathematical proof will make 0/0 to be =2 even without look at any claim of proof. Intact the probability of that happening is zero.
I have to admit though that I went through the op proof a couple of time before I detected the mathematical error.

The numerator evaluation from line 3 to line 4 is the culprit.
-10 x 10 numerator line 3 is not equal to -10^2 numerator line 4.

Intact you can't raise any number to any power to give a negative number.

So, (-10x10)=-100
while (-10^2)=(-10x-10) = +100 ...which are not the same.

Every other mathematical argument in the op proof are correct.


But the incorrect step above invalidates the proof.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by okpe367: 7:24pm On May 10, 2015
its wrong... anything divided by zero is undefined...0/0 is undefined.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 7:29pm On May 10, 2015
RedArrow:
Do you have idea of complex mathematics? Pls do, it will help you to understand that whenever 0 appears @the denominator, the expression is undefined.





I do have an idea cos I'm a graduate of Mathematical sciences. UNDEFINED in terms of zero being denominator signifies that the answer gotten will be betw -infinity to +infinity. The answer could be any number depending on what the person chooses it to be.

In this case, if you say 0/0= 1, u are correct (provided u can prove it) just as he said 0/0= 2. But there will be certain constraint. As for his, you can only use perfect squares. Any other number will not get u 2.

1 Like

Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 7:30pm On May 10, 2015
MrOlai:


Your a clown! You know nothing about Mathematics. In fact, you need to be flogged for mentioning BODMAS here. What has BODMAS got to do with this?

Please, stop disgracing yourself!
i wudn't want 2 go into any serious arguement, i'v met some knw-it-all who claim they knw maths. Now, he said he did solve it ''mathematically''. Now if u are not an illiterate how can you solve maths witout the fundamental of maths 'BODMAS'. Bros if you are a student you'd knw that maths answers never change. What can prove him correct is if (10-10)/(10-10) = 1.......... Mr knw-it-all prove it. This will simply mean firstly that 0/0=1......... Bro you are no mathematician you are a dull thinker.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Ishilove: 7:32pm On May 10, 2015
Jesus, I hate maths sad angry
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Nobody: 7:34pm On May 10, 2015
logica:
OK sorry. 0/0 is a known paradox (contradiction) that is over at least 2000 years old.

Okay.
Thanks.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 7:38pm On May 10, 2015
asoderock:
Well, I give lots of compliment to the op for such a simple but thought provoking analysis.

If you are a mathematician or lover of mathematics, you will know that no valid mathematical proof will make 0/0 to be =2 even without look at any claim of proof. Intact the probability of that happening is zero.
I have to admit though that I went through the op proof a couple of time before I detected the mathematical error.

The numerator evaluation from line 3 to line 4 is the culprit.
-10 x 10 numerator line 3 is not equal to -10^2 numerator line 4.

Intact you can't raise any number to any power to give a negative number.

So, (-10x10)=-100
while (-10^2)=(-10x-10) = +100 ...which are not the same.

Every other mathematical argument in the op proof are correct.


But the incorrect step above invalidates the proof.

(100)-(100) is this correct 2 place this way If it is then.........(10^2)-(10^2) check it very well bro.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by fio(m): 7:39pm On May 10, 2015
wonda26:

10^2 - 10^2 = (10 + 10)(10-10) is very correct.

In mathematics, it is called 'Difference of two squares'


If you doubt, try simplifying the right hand side of the equation

Not possible. You have to use math rule of BODMAS. And when you do that.
Then; (10+10)(10-10) never equals 10^2-10^2.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 7:39pm On May 10, 2015
To show that 0/0 = 2

Proof: let {X:X perfect squares from 0 to infinity}, {Y:Y perfect squares from 0 to infinity}

Proved: Then 0/0 = (X+Y) (X-Y) / X (X-Y) = 2 for all X=Y or UNDEFINED (I.e other values) for X not equal to Y
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by asoderock(m): 7:58pm On May 10, 2015
jstriker442:
(100)-(100) is this correct 2 place this way If it is then.........(10^2)-(10^2) check it very well bro.

Its tricky, but I stand by my position.

putting in parenthesis has not cancelled out the (-) sign.

Now this will make sense if you try to work back.
Q. Evaluate -(10^2)

A. -(10^2)= -10^2 =-10x-10 =100 ...You have to open the bracket first, that is the rule of mathematics.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 8:00pm On May 10, 2015
fio:


Not possible. You have to use math rule of BODMAS. And when you do that.
Then; (10+10)(10-10) never equals 10^2-10^2.

My guy, that's simple quadratic equation na.

(10+10)(10-10)= 10(10+10)-10(10+10)

= 10^2+10^2-10^2-10^2

At this point he took out the two middle terms only (I.e 10^2-10^2) by subtracting them

= 10^2 - 10^2

So it is correct!
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by eminex(m): 8:01pm On May 10, 2015
0/0 is undefined
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 8:05pm On May 10, 2015
asoderock:


Its tricky, but I stand by my position.

putting in parenthesis has not cancelled out the (-) sign.

Now this will make sense if you try to work back.
Q. Evaluate -(10^2)

A. -(10^2)= -10^2 =-10x-10 =100 ...You have to open the bracket first, that is the rule of mathematics.


If you did quadratic equatiom in school, u will know he doesn't need to do any -10^2 .

a^2 - b^2 = (a+b)(a-b) for all a=b or a not equal to be

So 10^2 - 10^2 = (10+10)(10-10) . Very very correct!
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by fio(m): 8:11pm On May 10, 2015
brytandre:


My guy, that's simple quadratic equation na.

(10+10)(10-10)= 10(10+10)-10(10+10)

= 10^2+10^2-10^2-10^2

At this point he took out the two middle terms only (I.e 10^2-10^2) by subtracting them

= 10^2 - 10^2

.

So it is correct!

And 10^2 - 10^2 equals 0
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by wonda26(m): 8:26pm On May 10, 2015
fio:


Not possible. You have to use math rule of BODMAS. And when you do that.
Then; (10+10)(10-10) never equals 10^2-10^2.

I weep for you. Plz expand the expression you just wrote.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 8:31pm On May 10, 2015
fio:

And 10^2 - 10^2 equals 0
That's where he is coming from remember? It's a mathematical proof ok. He is saying 0=10^2-10^2 = (10+10)(10-10)
That's the idea
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by RedArrow: 8:49pm On May 10, 2015
Great to know that. I also have MSc in Applied Mathematics, the rule applied to the numerator is kool {diff of 2 squares). But the fact that the person is working on the REAL PLANE makes the whole prove absurd. The REAL PLANE does not accept zero as denominator. The graph will form an asymptote. For example, take a limit of a fraction as the denominator tends to zero, you will either have -ve infinity or +ve infinity which confirms what you said that the answer will be btw infinity to +infinity meaning undefined.
brytandre:


I do have an idea cos I'm a graduate of Mathematical sciences. UNDEFINED in terms of zero being denominator signifies that the answer gotten will be betw -infinity to +infinity. The answer could be any number depending on what the person chooses it to be.

In this case, if you say 0/0= 1, u are correct (provided u can prove it) just as he said 0/0= 2. But there will be certain constraint. As for his, you can only use perfect squares. Any other number will not get u 2.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Nobody: 9:00pm On May 10, 2015
The proved utter rubbish. 101% wrong! 10^2-10^2 is 0 till tomorrow not 20.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 9:07pm On May 10, 2015
RedArrow:
Great to know that. I also have MSc in Applied Mathematics, the rule applied to the numerator is kool {diff of 2 squares). But the fact that the person is working on the REAL PLANE makes the whole prove absurd. The REAL PLANE does not accept zero as denominator. The graph will form an asymptote. For example, take a limit of a fraction as the denominator tends to zero, you will either have -ve infinity or +ve infinity which confirms what you said that the answer will be btw infinity to +infinity meaning undefined.



Thanks a lot bro. I understand u well....it's gonna be graphically difficult to represent, hence the frustration of the early Mathematician to simply say UNDEFINED. To be sincere, I'm seeing something like this for the first time and I'm really happy to know someone is willing to THINK!

Note; 0.0000000000000092 can also be termed 0....... this can be represented graphically can't it?
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by jstriker442(m): 9:10pm On May 10, 2015
asoderock:


Its tricky, but I stand by my position.

putting in parenthesis has not cancelled out the (-) sign.

Now this will make sense if you try to work back.
Q. Evaluate -(10^2)

A. -(10^2)= -10^2 =-10x-10 =100 ...You have to open the bracket first, that is the rule of mathematics.
u are wrong my frnd BODMAS says solve d bracket first. That shud give -(10^2) = -(100) = -100
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by mildteddy(m): 9:38pm On May 10, 2015
THE PROOF is limited but correct!
0/0 can be equal to anything, that's why mathematicians say that it is 'undefined'. 'undefined', could be taken to mean any number within the range (-infinity to +infinity)

2 Likes 1 Share

Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by lekropasky(m): 9:49pm On May 10, 2015
wonda26:

He applied the rule: 'Difference of two squares'

(a^2 - b^2) = (a + b) (a - b)

and did you see that what he expanded (10^2-10^2) are constants, they are not variable.
so, he's totally wrong.
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by RedArrow: 9:50pm On May 10, 2015
Graph of 0.0000000000000092 does exist. After all it's a real number (as in, the number 0.0000000000000092 can be found on the real line)


brytandre:




Thanks a lot bro. I understand u well....it's gonna be graphically difficult to represent, hence the frustration of the early Mathematician to simply say UNDEFINED. To be sincere, I'm seeing something like this for the first time and I'm really happy to know someone is willing to THINK!

Note; 0.0000000000000092 can also be termed 0....... this can be represented graphically can't it?
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by logica(m): 9:55pm On May 10, 2015
mildteddy:
THE PROOF is limited but correct!
0/0 can be equal to anything, that's why mathematicians say that it is 'undefined'. 'undefined', could be taken to mean any number within the range (-infinity to +infinity)
It isn't even a proof really (in the strictest of terms).

If you are going to do this:

(10 - 10) / (10 - 10) = 1 (the premise on which his "proof" stood)

then there was no need for the whole rigmarole. You might as well do this:

0 / 0 = 1

Even at this point:


(10 + 10) * (10 - 10)
------------------------
10 * (10 - 10)


where he cancelled out the (10 - 10), why not do this:



0 (10 + 10) 0
- = ---------- * -
0 10 0



Obviously now, the equation is not even making any sense. But let us further make more nonsense out of nonsense:

If you cancelled out the 0/0 on both sides:

1 = (10 +10) / 10 or 1 = 2

That makes a lot of sense doesn't it? grin

1 Like

Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by MrOlai: 9:56pm On May 10, 2015
jstriker442:
my FRIEND this is very mathematically wrong buh i can say its logically correct. Maths tells us to use BODMAS in all we do under maths. Do u knw y i love maths ?? Becos it never lies. Follow the rules and any question must give thesame answer. Pls use BODMAS
jstriker442:
i wudn't want 2 go into any serious arguement, i'v met some knw-it-all who claim they knw maths. Now, he said he did solve it ''mathematically''. Now if u are not an illiterate how can you solve maths witout the fundamental of maths 'BODMAS'. Bros if you are a student you'd knw that maths answers never change. What can prove him correct is if (10-10)/(10-10) = 1.......... Mr knw-it-all prove it. This will simply mean firstly that 0/0=1......... Bro you are no mathematician you are a dull thinker.
jstriker442:
my FRIEND this is very mathematically wrong buh i can say its logically correct. Maths tells us to use BODMAS in all we do under maths. Do u knw y i love maths ?? Becos it never lies. Follow the rules and any question must give thesame answer. Pls use BODMAS

Your are talking trash! In your statement, you wrote. " Maths tells us to use BODMAS..." I wrote "What has BODMAS got to do with this?" What I mean here is, what has the guy not done as far as BODMAS is concerned? He has done the right thing and yet you kept shouting BODMAS.

You later wrote " What can prove him correct is if (10-10)/(10-10) = 1". Why didn't you mention this before you started shouting BODMAS, BODMAS... when there is no error of BODMAS in the proof? That shows how mentally retarded you are!

Besides, who told you you cannot introduce or remove (10-10)/(10-10) in Mathematical provings? This is why 0/0 is considered undefined in Mathematics. It could be proved to give several numbers.

You now went back to meet your lecturers like I advised before you can make any sane contribution! It's really pathetic! When next any issue is raised on Mathematics, you better go and meet your lecturers first before shouting BODMAS, BODMAS, bla, bla, bla!

1 Like

Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 10:06pm On May 10, 2015
RedArrow:
Graph of 0.0000000000000092 does exist. After all it's a real number (as in, the number 0.0000000000000092 can be found on the real line)



Then his premise could stand

0/0 = 0.00000000001/0.00000000001 = 2

Don't u think?

This could be applied to science and tech if looked into critically. Okay lemme stop before I take it too far. Lol


But this has got me seriously reasoning
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by brytandre(m): 10:13pm On May 10, 2015
logica:
It isn't even a proof really (in the strictest of terms).

If you are going to do this:

(10 - 10) / (10 - 10) = 1 (the premise on which his "proof" stood)

then there was no need for the whole rigmarole. You might as well do this:

0 / 0 = 1

Even at this point:


(10 + 10) * (10 - 10)
------------------------
10 * (10 - 10)


where he cancelled out the (10 - 10), why not do this:



0 (10 + 10) 0
- = ---------- * -
0 10 0



Obviously now, the equation is not even making any sense. But let us further make more nonsense out of nonsense:

If you cancelled out the 0/0 on both sides:

1 = (10 +10) / 10 or 1 = 2

That makes a lot of sense doesn't it? grin



If he presented it the way u just did, maybe I'll form ignorance and be screaming "BODMAS" too. Sorry, it doesn't make sense
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Emmaville(m): 10:20pm On May 10, 2015
But people dull sha....... Nigeria is gone cry
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by MMADUKAN: 10:21pm On May 10, 2015
adewaletb3:
So_fucking wrong. Why would you prove like a goat
ABSOLUTELY WRONG
Re: Photo: See How A Mathematician Proved 0 Divided By 0 Equals 2 by Nobody: 10:22pm On May 10, 2015
Good thinking but the basic rule of BODMAS is not obeyed, 100-100 needs no reverse as subtraction is the last operation to be carried out according to the rule aforementioned.

(1) (2) (3) ... (14) (15) (16) (17) (18) (19) (20) (Reply)

Caleb University, Lagos Cuts Hair Of Students At The Gate (Photos) / Lecturer Gives Kenyan Student MouthAction In Office. Photos Shared On Facebook / Kogi State University,anyigba;2011/2012 Admission List (official Page)

(Go Up)

Sections: politics (1) business autos (1) jobs (1) career education (1) romance computers phones travel sports fashion health
religion celebs tv-movies music-radio literature webmasters programming techmarket

Links: (1) (2) (3) (4) (5) (6) (7) (8) (9) (10)

Nairaland - Copyright © 2005 - 2024 Oluwaseun Osewa. All rights reserved. See How To Advertise. 72
Disclaimer: Every Nairaland member is solely responsible for anything that he/she posts or uploads on Nairaland.