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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

That is the point! It is one, I agree! But it is also .9999999999...

Do it term by term, it is

.9 + .09 + .009 + .0009 + .00009 + .000009 + ... +

obviously .99999999999... and you used the geometric sum to say it equals 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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,596

There is no reason that that sum should be equal 0.999...

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

There is no reason that that sum should be equal 0.999...

Please look at the preceding post again. That sum produces an endless bunch of nines! You said it was one because you used this formula

sort of shows that if we do not agree with .999999999... = 1, we have to give that up. I do not want to give it up. It works!

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,596

No, no. I disagree that that sum is equal to 0.999...

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

.9 = .9

.9 + .09 = .99

.9 + .09 + .009 = .999

.9 + .09 + .009 + .0009 = .9999

.9 + .09 + .009 + .0009 + .00009 = .99999

.

.

.

looks to me like it agrees with .9999999...

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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I do not see 0.999... anywhere in there.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

Okay, then in other words you do not agree with any other non terminating decimal?

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

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**anonimnystefy****Real Member**- From: The Foundation
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No. I do not agree with non-terminating nines.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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How about non terminating threes?

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**anonimnystefy****Real Member**- From: The Foundation
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They are okay.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

Is

1 / 3 = .3333333333... ?

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**anonimnystefy****Real Member**- From: The Foundation
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Yes it is.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

Then

3 ( 1 / 3 ) = 3 ( .33333333333...)

1 = .999999999999...

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Nope.

3*0.333... is equal to 1.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

I am not following you.

There is a difference between .333... and .333333333... and .333333333333333... ?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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No, of course not. I am just saying that the product of 3 and non-terminating 3's is 1, and not 0.999...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

You do not think that

3 (.333333333333...) = (.999999999999...) ?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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No. because I think that the number on the right should be barred from mathematics.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

Hmmmm...

So you are saying you like this

and this

but do not like this:

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,596

Yes.

1/9=0.111...

2/9=0.222...

3/9=0.333...

4/9=0.444...

5/9=0.555...

6/9=0.666...

7/9=0.777...

8/9=0.888...

9/9=1

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

Hohohoho! Thank you for that, I always knew you had a sense of humor and you have really uncorked it and sprayed me with champagne. Very good!

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Excuse me?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

I thought you were joking, sorry.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,596

Do you know what a devil's advocate is?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 88,517

Yes, it is someone who defends impossible positions to irk someone else. Someone who is so old that the slightest annoyance can kill him.

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

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