Math Is Fun Forum

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,974

Website

Re: [1 paradox]

And 0.9999999999999.....can never be equal to unity.....
limit of .999999..... could be 1
but saying that .99999999...itself is equal to 1 would be absurd since both of those numbers have their own existence which cannot be equated......

It is just another way of saying the other. An endless number of 9's just mean the same thing as the number of 9's approaching infinity.

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'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: [1 paradox]

i totally agree with Bobbym...

Not exactly, half the time I do not even agree with him but he makes a good bowl of soup.

If you become convinced .999999... = 1 then you totally agree with bobbym.

Also, the sum from n=1 to infinity of 9(1/10)^n = 1. But that's beside the point and not a very intuitive proof.

I would rather say .9999999... = 1 and be able to continue using the sum of a geometric series formula then not.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

PKBeam

Member

Registered: 2013-03-21

Posts: 4

Re: [1 paradox]

hi Maiya

Haven't heard from you for a while, how are you?

I think you can have two numbers that are the same like this

Bob

Pi isn't exactly equal to that, the decimal is an approximation. So you should not put a "=" sign, you should put "≈"

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,974

Website

Re: [1 paradox]

Now that is what the ............ at the end of the value tells you

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'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Maiya

Member

Registered: 2011-08-11

Posts: 124

Re: [1 paradox]

Hello Bob;
'm good and how are you doing.....???

and those aren't two numbers in actual sense .........
because pi is a symbol that is used to represent a particular decimal,3.1415.........

Hello Bobbym;
almost the whole of the argument you were trying to prove that .999999...... isn't equal to unity
that is what i actually agreed on..........

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: [1 paradox]

Hi;

What I was disagreeing with is

0.999... + 1/∞ = 1

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,136

Re: [1 paradox]

hi Maiya

I'm good too.

and those aren't two numbers in actual sense .........
because pi is a symbol that is used to represent a particular decimal,3.1415.........

But my point (see also earlier comments by me) is that all numbers are like this.

"1" is the symbol I use to represent the decimal 0.999999.....................   

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Maiya

Member

Registered: 2011-08-11

Posts: 124

Re: [1 paradox]

Hello Bob;
Guess that approximation can be done.......