Does 0*∞=0?

[The Monkey]

Do you get 0 if you multiply infinity with 0?

Motivate.

 

[The Brick]

Yes. Infinitely nothing is still nothing.

 

[Solaris]

Yes.
You just get infinately nothing, which in itself is nothing.

 

[Pressure]

You sure do.

 

[TheHamster22]

What a silly question, it is indeed nothing.

 

[The Brick]

Yes.
You just get infinately nothing, which in itself is nothing.

Beat you to it with the exact same response

Also, proof it by running

ans=0
label 1
ans x 0
goto 1

 

[wildchild730]

Argh! Too much maths in general forums! D:

 

[tehsolace]

Heres a bit of good calculus trivia:

Does 1/∞ = 0?

 

[xombine]

When someone says "Anything multiplied by zero equals zero", there are no exceptions.

 

[RakuraiTenjin]

1 divided by infinity = .0...1

 

[Pressure]

Heres a bit of good calculus trivia:

Does 1/∞ = 0?

The limit of 1/x as x approaches infinity would indeed be equal to 0.

 

[tehsolace]

The limit of 1/x as x approaches infinity would indeed be equal to 0.

 

[The Brick]

Heres a bit of good calculus trivia:

Does 1/∞ = 0?

Ohhh you just started a new fad.

 

[Pressure]

Ohhh you just started a new fad.

I just answered it though lol. It does equal 0.

 

[The Monkey]

The mistake you're making is that you assume that infinity is a number. It's not.

 

[tehsolace]

I just answered it though lol. It does equal 0.

yea lol that wont catch on. we only obsess over things that we argue about

 

[tehsolace]

The mistake you're making is that you assume that infinity is a number. It's not.

ohh good point. does it HAVE to be written as a limit or can it be expressed as simply 1/∞ = 0? Theres something I predict people will argue about...

 

[The Brick]

I just answered it though lol. It does equal 0.

Expect "an infinitely small part of 1 is not zero!" or "it's 0.000...1!!!!". The latter will probably be posted by rakurai.

Edit: darn he already did lol

 

[Solaris]

1 divided by infinity = .0...1

The number .0....1 does not exist.

 

[tehsolace]

The number .0....1 does not exist.

it doesn't? *confused*

 

[Pressure]

Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero.

Edit: In limits it is equal to zero though.

 

[RakuraiTenjin]

The number .0....1 does not exist.

It's clearly a real number.

 

[The Brick]

Yep, and it equals zero.

 

[Cole]

Does 1/∞ = 0?

You can't simply divide something by infinity.
Because what number is infinity?
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, etc..... 2,000,000,000,000,000, 2,000,000,000,000,001, 2,000,000,000,000,002, 2,000,000,000,000,003, etc.. 180,000,000,000,000,000,000,000,000,000,000,000,000,000, 180,000,000,000,000,000,000,000,000,000,000,000,000,001, 180,000,000,000,000,000,000,000,000,000,000,000,000,002, 180,000,000,000,000,000,000,000,000,000,000,000,000,003

and on and on. One definition of infinity could be that it is the idea that numbers never end and there is always a number larger.



Although 0 * ∞ = 0. because 0 * X = 0. You can plug any number in for X and that statement will be true. Anything times 0 will always be 0.

 

[Hectic Glenn]

Yeah it's zero. Case closed cool eh? It's nice when it comes to a definitive conclusion. *sprays technicality repellant* Don't ruin it! D:

 

[Solaris]

It's clearly a real number.

Nope.
becuase

so

0.0....1=0.0....19783928730893=0.0...56789=0.0...

 

[Pressure]

I guess people read over this:

Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero.

 

[Hectic Glenn]

Go away unless you are supporting the zero cause! I'm so confused i'm not even sure anymore

 

[Pressure]

It is a mathamatical rule.

 

[tehsolace]

haha i started a fad

 

[The Monkey]

Other rules of maths do not aply to infinity, why would a multiplication with 0 do?

X*0 where X is a number always equal 0, but can you prove to me that ∞ in 0*∞ work the same way as a number would.

For example, 100*∞=∞ 0,000001*∞=∞, why not ∞*0=∞ ?

 

[kirovman]

I think there is no answer. It is mathematically undefined (and pretty meaningless).

What you're saying is 0/0. Tempted to say the answer is 1? However, there is no answer for that.

 

[Pressure]

haha i started a fad

Not really when there are rules for infinity.

In some circumstances, infinity (to be algebraically represented in this article by the letter "I") can be used as a number:

* in order to engineer a formula,
* to extract and display some theory, or
* to fill some empty space on a text book.

However, in most cases, it makes a very bad number, and is mostly used as a concept. The reason for this is that it isn't really a number.

Take the following rules:

1. Infinity divided by a finite number is infinite (I / f = I);
2. Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero (f / I = 1 / I);
3. Infinity divided by infinity is one (I / I = 1),
or in fact any other positive number (I / I = and so on...);
4. Infinity multiplied by zero (no infinity) is zero (I * 0 = 0);
5. Infinity divided by a positive finite number is infinity (I / +f = I);
6. Infinity divided by a negative finite number is minus infinity (I / -f = -I);
7. Infinity divided by zero is not possible;
8. Infinity plus infinity is infinity (I + I = I);
9. Zero divided by infinity (nothing divided into infinity) equals zero (0 / I = 0);
10. Infinity plus a finite number is infinity (I + f = I);
11. Infinity minus a finite number is infinity (I - f = I); but
12. Infinity minus infinity, due to the nature of infinity, can be zero, infinity, or minus infinity (I - I = -I, 0, I).

 

[tehsolace]

If 1/∞ = 0,

Then 1/0 = ∞. Isn't that incorrect?

Also, if the first is true, then shouldn't ∞ * 0 = 1?

So I guess that proves 1/∞ does not equal 0...

 

[Pressure]

If 1/∞ = 0,

Then 1/0 = ∞. Isn't that incorrect?

Also, if the first is true, then shouldn't ∞ * 0 = 1?

So I guess that proves 1/∞ does not equal 0...

Any finite number divided by infinity is a number infinitesimally larger than, but NEVER EQUAL TO, zero.

It only exists as zero in the case of limits.

 

[The Brick]

I think there is no answer. It is mathematically undefined (and pretty meaningless).

What you're saying is 0/0. Tempted to say the answer is 1? However, there is no answer for that.

You can't devide by zero.

This is the matimatical constant for infinity btw:

 

[kirovman]

You can't devide by zero.

That's what I'm saying... multiplying by infinity is the same as dividing by zero.

Therefore your answer is undefined. And that's why there is no answer.

 

[tehsolace]

That's what I'm saying... multiplying by infinity is the same as dividing by zero.

Therefore your answer is undefined. And that's why there is no answer.

You're assuming the opposite of infinity is zero... which I don't believe is true, afaik.

 

[The Brick]

Well you could say zero is infinitely nothing, which is the opposite of infinitely much.

 

[kirovman]

You're assuming the opposite of infinity is zero... which I don't believe is true, afaik.

Maybe. I'm a physicist, not a mathematician, so I tend to use approximations in such circumstances.
But in both cases, mathematically there is no specific answer...