• We’re currently investigating an issue related to the forum theme and styling that is impacting page layout and visual formatting. The problem has been identified, and we are actively working on a resolution. There is no impact to user data or functionality, this is strictly a front-end display issue. We’ll post an update once the fix has been deployed. Thanks for your patience while we get this sorted.

Is 1 = 0.9999......

Kyteland

Kyteland

Diamond Member
We're having a debate at work. Is 1=0.99999..... repeating. I say that this holds but one of my coworkers claims that multiplication breaks down for an infinitely repeating number.

x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.

What do you think?
 
Someone needs to take a programming class and learn about Overflow, Underflow, and Round-off errors (resulting in precision loss) when performing calculations on a machine with limited accuracy.
 
You're mean. I remember this...and it also made my brain explode last time. There's a proof that proves you wrong, but I doin't remember it. So, for now, you're right. 😀
 
Originally posted by: VBboy
Someone needs to take a programming class and learn about Overflow, Underflow, and Round-off errors (resulting in precision loss) when performing calculations on a machine with limited accuracy.
Click to expand...

This has nothing to do with computers.
 
i vote yes.... especially if it's 9.999.............................................................................................
 
1.000000000000000000000000000000000000000000000000000000000000000...... = 1
0.999999999999999999999999999999999999999999999999999999999999999...... ~= 1

just depends how you round it
its like saying that 1/3 is the same as 0.3, which it isnt
 
The question is moot.

Everyone knows that the only reason anyone rounds is to simplify and answer or to prove an assumption... So the answer to the question is YES....it's both yes and no...
 
The flaw:

x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.

After the bold statement, x is considered to be the result of the bold statement, as opposed to 0.9999... as previously assumed, therefore the final statement is 1 = 1.
 
Its been proven many time. Including the proofs and series to go along with it.

Check out the ad nausem post in Highly Technical from 6 months ago.
 
Originally posted by: Electrode
The flaw:

x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.

In the bold statement, x is redefined.
Click to expand...

How is x redefined?
 
1/3 = 0.3333...

1/3 + 1/3 + 1/3 = 1
0.3333... + 0.3333... + 0.3333... = 0.9999...

1 = 0.9999...
 
Originally posted by: Kyteland
We're having a debate at work. Is 1=0.99999..... repeating. I say that this holds but one of my coworkers claims that multiplication breaks down for an infinitely repeating number.

x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.

What do you think?
Click to expand...

This proof is WRONG... you already stated that x=0.9999.... so then, since X=0.9999
9 * (0.9999...) != 9
x != 1.

Therefore: X = 0.9999... != 1

MORON. Jus playing =) Happy Doodles!
 
If 10x - x gives us 9, then 9 = 9x.
If we multiply x by 9, does it equal 9? Only if x is 1 exactly, otherwise 9x doesn't equal 9.
9 x 0.99.... = 9? I don't see how really. Surely it would be 8.9999.....
The only way I see of getting 9 useing 9 is by 9 x 1
 
Originally posted by: Czar
1.000000000000000000000000000000000000000000000000000000000000000...... = 1
0.999999999999999999999999999999999999999999999999999999999999999...... ~= 1

just depends how you round it
its like saying that 1/3 is the same as 0.3, which it isnt
Click to expand...
This has nothing to do with rounding, approximate answers or anything like that.
0.999.... is the same number as 1.

There are other ways to prove it that the one shown here, but it doesn't change the fact that they are two ways of writing the same number.

 
Originally posted by: spidey07
Its been proven many time. Including the proofs and series to go along with it.

Check out the ad nausem post in Highly Technical from 6 months ago.
Click to expand...

Link? I couldn't find it...
 
Originally posted by: flood
1/3 = 0.3333...

1/3 + 1/3 + 1/3 = 1
0.3333... + 0.3333... + 0.3333... = 0.9999...

1 = 0.9999...
Click to expand...



You're WRONG TOO.

1/3 is an exact answer

0.3333... is an approximation

Therefore,

1 != 0.9999
 
Originally posted by: bleeb
Originally posted by: flood
1/3 = 0.3333...

1/3 + 1/3 + 1/3 = 1
0.3333... + 0.3333... + 0.3333... = 0.9999...

1 = 0.9999...
Click to expand...



You're WRONG TOO.

1/3 is an exact answer

0.3333... is an approximation

Therefore,

1 != 0.9999
Click to expand...

1/3 and 0.3333... are the same.
do the long division and you'll see.
 
You must log in or register to reply here.

TRENDING THREADS

Back
Top