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Is 1 = 0.9999......

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Let me ask again: If .9999999999999999999999.... is 1, then why would they call it .99999999999999999999999999.... and not 1?
 
Originally posted by: Nemesis77
Let me ask again: If 0.9999999999999999999999.... is 1, then why would they call it .099999999999999999999999999.... and not 1?
Click to expand...

they do call it one, its more like this is an interesting expample of how the number system works than anything else.
 
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.
 
Originally posted by: gotsmack
why not? isn't it the same reasoning as .999999999... =1?
Click to expand...
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! 😀)
 
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...
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That would be cool.

 
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?

😛
 
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?

😛
Click to expand...

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

The nines are infinite in both cases.
 
Originally posted by: Kyteland
Originally posted by: gotsmack
why not? isn't it the same reasoning as .999999999... =1?
Click to expand...
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! 😀)
Click to expand...


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

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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