What does 0.4999... round to?

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yhelothar

Lifer
Dec 11, 2002
18,409
39
91
Originally posted by: Dritnul
Originally posted by: Syringer
I believe .999... = 1 like any sane person does (uh-oh), but I'm not really sure where to go with this one. On the one hand it technically is equal to .5 which rounds to 1, but if it's just ever so smaller than .5, which could also be the case, then it'd be 0..

but saying that it equals .5 which equals one is rounding twice which kinda makes rounding extremely vague

It's only rounding once after you understand that .49999.. equals exactly .5
 
Nov 3, 2004
10,491
22
81
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
Originally posted by: IAteYourMother
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?

science-chemistry

but but as a fraction .49repeting= 49/99

it's been so long since all that math day ******... or calc

Edit virtualgames0 is right .494949494949... is 44/99 like i said its been awhile
i still stick with the limit theorem for this problem
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
I would think that any calculus teacher would tell you that .49repeting =/= .5 it would probly be one of those limit problems where the number gets infinitely close to .5 but never touches it

that would be the calculus perspective that's the perspective i'll take i guess
 

yhelothar

Lifer
Dec 11, 2002
18,409
39
91
Originally posted by: Dritnul
Originally posted by: IAteYourMother
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?

science-chemistry

but but as a fraction .49repeting= 49/99

it's been so long since all that math day ******... or calc

it's not .4949494949 repeating... not .499999999 repeating.
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
Originally posted by: virtualgames0
Originally posted by: Dritnul
Originally posted by: IAteYourMother
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?

science-chemistry

but but as a fraction .49repeting= 49/99

it's been so long since all that math day ******... or calc

it's not .4949494949 repeating... not .499999999 repeating.

ahhh yea that sounds right there is some way to determine the fraction when only one number repeats but i forgot that a few years ago
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Originally posted by: Dritnul
Originally posted by: IAteYourMother
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?

science-chemistry

but but as a fraction .49repeting= 49/99

it's been so long since all that math day ******... or calc

I'd check your calculator again...
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Originally posted by: Dritnulahhh yea that sounds right there is some way to determine the fraction when only one number repeats but i forgot that a few years ago

It's 50/100.
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
Originally posted by: silverpig
Originally posted by: Dritnul
Originally posted by: IAteYourMother
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?

science-chemistry

but but as a fraction .49repeting= 49/99

it's been so long since all that math day ******... or calc

I'd check your calculator again...

didn't use one trying to remember ****** from 10th grade does do a whole lot of good for me though
 

Howard

Lifer
Oct 14, 1999
47,982
11
81
Well, 49/99 is 0.49494949... so if you put the bar over the 49 instead of just the 9, he'd be correct.
 

clickynext

Platinum Member
Dec 24, 2004
2,583
0
0
Exactly 5 is the only point of vagueness. 0.4999 clearly rounds to 0 because it is still infinitesimally closer to 0. At 5, you could go either way and it's just convention to round up.
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
Originally posted by: clickynext
Exactly 5 is the only point of vagueness. 0.4999 clearly rounds to 0 because it is still infinitesimally closer to 0. At 5, you could go either way and it's just convention to round up.

ur in the boat with me man i dunno if its cuz i think like a scientist or i don't smoke enough pot but theres no way they gonna see the light
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Originally posted by: Dritnul
Originally posted by: clickynext
Exactly 5 is the only point of vagueness. 0.4999 clearly rounds to 0 because it is still infinitesimally closer to 0. At 5, you could go either way and it's just convention to round up.

ur in the boat with me man i dunno if its cuz i think like a scientist or i don't smoke enough pot but theres no way they gonna see the light

Think like a scientist? Dude seriously... I think like a scientist and I know .4999... = .5 exactly. It's not hard to see.
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
Originally posted by: BoldAsLove
it rounds to .5, but u only round once, so therefore it would go back down to 0

how many posts have said basically this in 2 pages
 

Leros

Lifer
Jul 11, 2004
21,867
7
81
Originally posted by: Dritnul
Originally posted by: clickynext
Exactly 5 is the only point of vagueness. 0.4999 clearly rounds to 0 because it is still infinitesimally closer to 0. At 5, you could go either way and it's just convention to round up.

ur in the boat with me man i dunno if its cuz i think like a scientist or i don't smoke enough pot but theres no way they gonna see the light

0.4999 does indeed round to 0.

We are talking about 0.4999...... with infinitely many 9's.

Think about this:
1 - 0.9 = 0.1
1 - 0.99 = .01
1 - 0.999 = .001
What happens if you have an infinite number of 9's?
You get an infinite number of 0's.
1 - 0.999999........ = 0.00000000000.......... = 0
Therefore: 1 = .99999..........

In the same way:
0.5 - 0.49 = .01
0.5 - 0.499 = .001
0.5 - 0.4999 = .0001
What happens if you have an infinite number of 9s?
You get an infinite number of 0's.
0.5 - 0.49999........ = 0.0000000000 = 0
Therefore: 0.5 = 0.49999........
 

Dritnul

Senior member
Jan 9, 2006
781
0
0
Originally posted by: Leros
Originally posted by: Dritnul
Originally posted by: clickynext
Exactly 5 is the only point of vagueness. 0.4999 clearly rounds to 0 because it is still infinitesimally closer to 0. At 5, you could go either way and it's just convention to round up.

ur in the boat with me man i dunno if its cuz i think like a scientist or i don't smoke enough pot but theres no way they gonna see the light

0.4999 does indeed round to 0.

We are talking about 0.4999...... with infinitely many 9's.

Think about this:
1 - 0.9 = 0.1
1 - 0.99 = .01
1 - 0.999 = .001
What happens if you have an infinite number of 9's?
You get an infinite number of 0's.
1 - 0.999999........ = 0.00000000000.......... = 0
Therefore: 1 = .99999..........

In the same way:
0.5 - 0.49 = .01
0.5 - 0.499 = .001
0.5 - 0.4999 = .0001
What happens if you have an infinite number of 9s?
You get an infinite number of 0's.
0.5 - 0.49999........ = 0.0000000000 = 0
Therefore: 0.5 = 0.49999........

again i still think its a limit it never actually is .5 although .4999999..... is infinitely close to .5 it never exactly equals it

last time ill say it for tonight
good-night ATOT
 

BrownTown

Diamond Member
Dec 1, 2005
5,314
1
0
Well, since this is OT and Not HT i'll jsut come out and say it, .4999... rounds to 1, PERIOD. IF you don't understand why then you are either uneducated, stupid, or stubborn.
 

CycloWizard

Lifer
Sep 10, 2001
12,348
1
81
Originally posted by: BrownTown
Well, since this is OT and Not HT i'll jsut come out and say it, .4999... rounds to 1, PERIOD. IF you don't understand why then you are either uneducated, stupid, or stubborn.
Might want to check that link in your sig to determine where this post falls in the list of fallacies. :D
 
Nov 3, 2004
10,491
22
81
Originally posted by: Dritnul
Originally posted by: IAteYourMother
Originally posted by: Dritnul
well hell i mean with the logic in this thread ......
.226 rounds to .25 which rounds to .5 which rounds to 1
therefore .226=1

was your major English?

science-chemistry

but but as a fraction .49repeting= 49/99

it's been so long since all that math day ******... or calc

Edit virtualgames0 is right .494949494949... is 44/99 like i said its been awhile
i still stick with the limit theorem for this problem

do you agree that 1/3=.3333...? and that 1/3*3=1? Then .33333...*3=.9999999...

n=.9999999
10n=9.99999999
-n -n
9n=9
n=1

that's the way to solve repeating decimals and simplify them to fraction, what you were referring to. Pwned.
 

iamaelephant

Diamond Member
Jul 25, 2004
3,816
1
81
Originally posted by: Dritnul
again i still think its a limit it never actually is .5 although .4999999..... is infinitely close to .5 it never exactly equals it

last time ill say it for tonight
good-night ATOT

You're wrong. I won't go into why because this conversation has been done to death, (including proofs in this thread) but you are wrong. Accept it and learn from it.
 

TanisHalfElven

Diamond Member
Jun 29, 2001
3,512
0
76
Originally posted by: Syringer
I believe .999... = 1 like any sane person does (uh-oh), but I'm not really sure where to go with this one. On the one hand it technically is equal to .5 which rounds to 1, but if it's just ever so smaller than .5, which could also be the case, then it'd be 0..

now you really don't know much math do you?
to how many significant figures or decimal places do you wanna round it too.
 

destrekor

Lifer
Nov 18, 2005
28,799
359
126
if the answer is 14.49999.... and must be rounded to a whole number, it's rounded to 14.. because no matter what the tenth place and beyond is, you ignore them when rounding to whole numbers, and mathematically speaking.. 14.49999 is closer to 14 than 15, at least as long as you had a calculation device precise enough to see beyond at some point (which will never happen).. hard to explain in words but it should be understood mathematically it drops down since its closer in the most minuscule way possible. no matter how minuscule, it's still closer.