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Because the answer would be undefined.

What do you mean?

|dw:1353147793508:dw|

@sirm3d neither

How about 0*(1/0) = 1 @scarydoor ?

If 1/0 = x. Then 1 = x * 0 , but how did you algebraically derive 1 = x*0 from 1/0 =x @scarydoor?

The problem is that we have a number (1/0) which we defined so that 0 * 1/0 = 1.

I don't understand what you're saying.

the trouble with accepting 1/0 as a number is determining the value of a * (1/0)

Are you convinced?

no

which original equation? I'm not sure where you think the problem is.

Take any equation as your original equation try: 8z=40 the solution set to this equation is {5}.

That's right.

Now transform that original equation by multiplying both sides by 0.

Yes, that is correct. Zero is not allowed as a multiplier in transforming equations.

Does that make sense?

I agree :)

haha, good.

algebra is fun.

(.... like I assumed you could. and then ended up with 1=0)

Hi

I don't believe there's much more to say.

I read everything u people wrote.

I believe the argument:
If a/0=c,
then a=0*c.
Is flawed. @helder_edwin

Agreed.

provided b is not zero. that is, zero doesn't have multiplicative inverse.

therefore, zero does NOT have multiplicative inverse, so one cannot define division by zero.

regarding the argument (proposition)
\[ \large \frac{a}{0}=c\qquad\Rightarrow\qquad a=c\cdot0 \]

Yes, how can you algebraically go from a/0=c --?--> to a=0*c

How do you "infer"?
I want to know the algebraic steps used, Sir.

@skullpatrol do you know how a proof by contradiction works?

yes

a=bc defines a/b=c.

So we are supposing if a/0=c,
then how do you prove a=0*c.

You are also supposing that there exists a number 1/0 such that 1/0 * 0 = 1.

u don't.

"u don't." why not?

a/0= a*1/0 = c, then a * 1/0 * 0 = c * 0. Then a * 1 = c * 0 = 0. ie a= 0.

But you multiplied both sides by 0

And then left :(

if you know that x = y, is it true that x * 0 = y * 0?

the question seems to have been deleted just as I answered.

sorry i left. i'm in a place with the worst internet service ever.

we (myself and @scarydoor ) are multiplying by zero because we are using a proof by con

*contradiction

Thank you for confirming that Sir.

So why are we allowed to do it here?
If a/0=c,
then a=0*c.

it is a proof by contradiction!!

yes. u can't divide by zero.

yep. read a book on abstract algebra maybe.

How can you prove something is false using a false assumption?

the discussion was very interesting. i hope we were helpful.

I guess the lesson to learn here is "1/0" is not any number.

http://en.wikipedia.org/wiki/Proof_by_contradiction

Thank you for your patience and guidance.

You could say the answer to that question is nobody gets the 2 apples.

it becomes undefined since its not possible to do so

undefined is basically we dont know what happens

Have you fulfilled your own requirement: "if you are required to divide "

But I asked "why"?

i showed you why
you cannot split 2 apples among 0 people since there is no one to split it with

so what happens to the 2 apples? we dont know so we call that undefined

But you said "it is undefined ***when you do so*** " so that means it ***can be done***?

The apples are divided by 0?

yea when you divide the apples by 0 we will get undefined since we dont know how they are divided

I asked why can you NEVER divide by 0

no matter what n is if you have no one to split it with, we will never know how n is divided

i didnt say no one gets the n i said we do not know how n is divided

We do know how n is divided: "It is not divided" because nobody is there.

If no one is there we do know nothing will happen to the apples.

again you are making assumptions how can you be so sure nothing will happen to the apples?

How can you be so sure we don't know?

dont know* (typo)

So your answer is "we don't know" why we can never divide by 0.

no as i said before we do not know how it is divided so we say its undefined

@skullpatrol http://www.math.utah.edu/~pa/math/0by0.html

when u dived by zero so ans will be infinite.means undefind which has no meaning

So each friend doesn't get any apple is the answer?

3/6 = 1/2 each
2/6 = 1/3 each
1/6 = 1/6 each
0/6 = 0 apples each

Are you talking about amount of apple per friend?

So you are counting the number of pieces each friend gets.

6/3 =half each friend
6/2 =3rd each friend
6/1 =6th each friend

true...its undefined. Watch the khan academy tutorial on it. Pretty logical and interesting.

answer is we can't put t2=t1 directly but we but it by limit at t2 tents to t1

typo there, i means try solving
\[a\div 0=c\iff 0\times c=a\] for \(c\)

hmm... shouldn't it be a=bc defines a/b=c?

That is a=bc ---> a/b=c
not a/b=c---> a=bc
which you are combining to give
a/b=c<--->a=bc

Chuck Norris can divide by zero.

That^ is all this thread needed

first line, should have said: "dividing 1 by n (i.e. 1/n)"

yes i know some real analysis

http://en.wikipedia.org/wiki/Division_by_zero

Just remember dividing by zero is done at your own risk, I choose to avoid doing such a thing.