Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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Maiya wrote:

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.

'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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,594

Maiya wrote:

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.

ncik wrote:

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.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**PKBeam****Member**- Registered: 2013-03-21
- Posts: 4

bob bundy wrote:

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 "≈"

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

'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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

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..........

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,594

Hi;

What I was disagreeing with is

0.999... + 1/∞ = 1

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,466

hi Maiya

I'm good too.

You wrote:

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

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

Hello Bob;

Guess that approximation can be done.......

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