Is 1 = 0.9999......

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Nemesis77

Diamond Member
Jun 21, 2001
7,329
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0
Let me ask again: If .9999999999999999999999.... is 1, then why would they call it .99999999999999999999999999.... and not 1?
 

ElFenix

Elite Member
Super Moderator
Mar 20, 2000
102,389
8,547
126
Originally posted by: Nemesis77
Let me ask again: If 0.9999999999999999999999.... is 1, then why would they call it .099999999999999999999999999.... and not 1?

they do call it one, its more like this is an interesting expample of how the number system works than anything else.
 

yoda291

Diamond Member
Aug 11, 2001
5,079
0
0
guys, just give up. even if you append the HT .9r = 1 thread to this one, you're not gonna beat the movie trivia thread. There's only one thread(that was broken up into multiple threads at the time) that could be considered longest...and no one wants to bring that one up.
 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
Originally posted by: gotsmack
why not? isn't it the same reasoning as .999999999... =1?
0.00000...1 != 0 because it is a finite length number. No matter how many 0's you place in the string you know exactly how far that number is from 0.

.9999.... on the other hand has an infinite length and the rules are debatable as to whether it is 1 or slightly less than 1 (as is so aptly proven in this thread)




I personally believe that 0.9999...=1 and that if you disagree with this that your mother must have dropped you as a child.

Repeatedly.

Because she thought you were ugly.




(Sorry, I couldn't resist! )
 
Jan 18, 2001
14,465
1
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Could the Mods please lock this thread when it reaches 999 replies?

There should be a thread museum where we can view the classics...
 

Koing

Elite Member <br> Super Moderator<br> Health and F
Oct 11, 2000
16,843
2
0
Originally posted by: yamahaXS
Could the Mods please lock this thread when it reaches 999 replies?

There should be a thread museum where we can view the classics...

That would be cool.

 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
So I had a thought.

When rounding a number you are supposed to round fractions >=0.5 up to the nearest integer and fractions <0.5 down to the nearest integer. So 3.1419... rounds down to 3 and 4.75 rounds to 5, etc.

What does 4.4999999..... round to? 4 or 5?

 

NogginBoink

Diamond Member
Feb 17, 2002
5,322
0
0
Originally posted by: Kyteland
So I had a thought.

When rounding a number you are supposed to round fractions >=0.5 up to the nearest integer and fractions <0.5 down to the nearest integer. So 3.1419... rounds down to 3 and 4.75 rounds to 5, etc.

What does 4.4999999..... round to? 4 or 5?


It depends on how many decimal places you're rounding to.
 

Marshallj

Platinum Member
Mar 26, 2003
2,326
0
76
I see a rounding off error in this equation. Count the 9's before they multiplied it by 10, and then after. The number changed.
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Originally posted by: Marshallj
I see a rounding off error in this equation. Count the 9's before they multiplied it by 10, and then after. The number changed.

The nines are infinite in both cases.
 

Zee

Diamond Member
Nov 27, 1999
5,171
3
76
Originally posted by: Kyteland
Originally posted by: gotsmack
why not? isn't it the same reasoning as .999999999... =1?
0.00000...1 != 0 because it is a finite length number. No matter how many 0's you place in the string you know exactly how far that number is from 0.

.9999.... on the other hand has an infinite length and the rules are debatable as to whether it is 1 or slightly less than 1 (as is so aptly proven in this thread)




I personally believe that 0.9999...=1 and that if you disagree with this that your mother must have dropped you as a child.

Repeatedly.

Because she thought you were ugly.




(Sorry, I couldn't resist! )


lolz. So in conclusion 0.99999... != 1 by your reasoning because im not ugly and wasnt dropped when i was a child.
 

Kyteland

Diamond Member
Dec 30, 2002
5,747
1
81
lolz. So in conclusion 0.99999... != 1 by your reasoning because im not ugly and wasnt dropped when i was a child.
Or so you mother would have us believe.
 

Marshallj

Platinum Member
Mar 26, 2003
2,326
0
76
Originally posted by: Kyteland
.9999.... on the other hand has an infinite length and the rules are debatable as to whether it is 1 or slightly less than 1 (as is so aptly proven in this thread)

It's not debatable. If it was equal to 1, the number would be stated as "1" and not ".99999...."

".9999...." is still always going to be less than one, although by how much is unclear.
 
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