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re: Math weirdness: Infinite gold is not enough

Posted on 9/17/19 at 10:02 am to
Posted by LNCHBOX
70448
Member since Jun 2009
86903 posts
Posted on 9/17/19 at 10:02 am to
quote:

An actual 10 lb gold bar can not be divided into three equal parts, period.



Walk me through your logic here. Is it because humans aren't capable of accurately doing it?

Because if that's not your argument, you sound like a moron.
Posted by Jon Ham
Member since Jun 2011
29412 posts
Posted on 9/17/19 at 10:05 am to
quote:

Why are you trying to "round up"?


I’m not the guy suggesting that .9 repeating equals 1. No matter how many 9’s you add into the next value place, you are still less than 1. Essentially what you guys are saying is that at some point within the infinity spectrum God just says “frick it this is boring” and rounds it up to 1.
Posted by Not Cooper
Member since Jun 2015
4946 posts
Posted on 9/17/19 at 10:06 am to
quote:

An actual 10 lb gold bar can not be divided into three equal parts, period.



What if I create my own measuring system to define the 10lb bar as 3 "WildManGeese"

Now, each kid gets exactly 1 "WildManGoose"

The bar is divided equally.
Posted by LNCHBOX
70448
Member since Jun 2009
86903 posts
Posted on 9/17/19 at 10:08 am to
quote:

I’m not the guy suggesting that .9 repeating equals 1. No matter how many 9’s you add into the next value place, you are still less than 1.


.9 repeating is 1/3 plus 1/3 plus 1/3, which does in fact equal 1.

I'm going to make a huge assumption and assume you aren't actually as dumb as this thread makes you look. What are you getting out of carrying this on?
Posted by PhiTiger1764
Lurker since Aug 2003
Member since Oct 2009
14330 posts
Posted on 9/17/19 at 10:09 am to
quote:

It's theoretical and a moot point as far as this thread is concerned.

It is not theoretical. It is a real number.

.33 repeating is a real number which is exactly equal to 1/3

.99 repeating is a real number which is exactly equal to 1.

Imagine the gold bar is 3 feet long. Do you agree that you can cut it into equal thirds of exactly 1 foot each?

If so, why can’t you then take one of the 1 foot long gold bars and further cut them into equal thirds of exactly .33 repeating feet each?
Posted by Korkstand
Member since Nov 2003
29002 posts
Posted on 9/17/19 at 10:11 am to
quote:

I’m not the guy suggesting that .9 repeating equals 1
You've got to be trolling, eh?
quote:

No matter how many 9’s you add into the next value place, you are still less than 1
Many kids learn about limits and calculus in high school. I see you weren't one of those kids.
quote:

Essentially what you guys are saying is that at some point within the infinity spectrum God just says “frick it this is boring” and rounds it up to 1.

I don't think you're quite grasping the concept of "infinity". Understandable, as it's not an obvious thing, but it never ends. Like never ever. So there is no stopping point where you just say enough is enough, this is equal to 1. Instead, it just IS equal to 1 because it is neverending. Just YouTube it instead of continually making an arse of yourself here.
Posted by Not Cooper
Member since Jun 2015
4946 posts
Posted on 9/17/19 at 10:13 am to
quote:

.9 repeating is 1/3 plus 1/3 plus 1/3, which does in fact equal 1.

I'll help him a little.

What is 1 minus 0.9 repeating? (i.e. 1-0.999...)

It is 0.000... repeating.

If a number minus a number is 0, those two are the same number then, correct?

i.e. 0.9 repeating = 1
Posted by Jcorye1
Tom Brady = GoAT
Member since Dec 2007
75138 posts
Posted on 9/17/19 at 10:14 am to
You're entire premise is incorrect. Due to the nature of dividing items by 3, you will never actual get to a true "equal distribution", though you can definitely get to a material version.
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
102573 posts
Posted on 9/17/19 at 10:15 am to
quote:

A man has a 10 lb gold bar and wants to divide it equally among his three children. He gets his wife’s cooking scale out and perfectly divides the bar into 3 equal pieces and gives one to each of his kids.



One of them is going to get a slightly larger piece, because a cooking scale has limits on accuracy.

Posted by FCP
Delta State Univ. - Fightin' Okra
Member since Sep 2010
5019 posts
Posted on 9/17/19 at 10:18 am to
quote:

turns the sensitivity all the way up: 9.99999999999999999999 lbs. Those sons of bitches.
That’s your answer. 9.9999999999999 is definitely divisible by 3. And the result would be three equal pieces weighing 3.33333333333 each.

But, I agree with the poster above who said give em all 3 pounds and spend the rest on hookers and blow. Or, just blow, since that’ll bring the hookers.
Posted by Jon Ham
Member since Jun 2011
29412 posts
Posted on 9/17/19 at 10:19 am to
quote:

I don't think you're quite grasping the concept of "infinity". Understandable, as it's not an obvious thing, but it never ends. Like never ever. So there is no stopping point where you just say enough is enough, this is equal to 1.


How does infinity change 3+3+3 from equaling 9 to equaling 10?
Posted by LNCHBOX
70448
Member since Jun 2009
86903 posts
Posted on 9/17/19 at 10:21 am to
quote:

How does infinity change 3+3+3 from equaling 9 to equaling 10?


3 =/= .3 repeating

You're making false equivalencies.
Posted by Jon Ham
Member since Jun 2011
29412 posts
Posted on 9/17/19 at 10:22 am to
quote:

If a number minus a number is 0, those two are the same number then, correct?


A number minus a smaller number will never be 0.

.9 repeating is less than 1 unless the laws of “infinity” somehow change 3+3+3 from equaling 9 to equaling 10.
Posted by Jon Ham
Member since Jun 2011
29412 posts
Posted on 9/17/19 at 10:24 am to
quote:

3 =/= .3 repeating

You're making false equivalencies.


.3333333333
+ .3333333333
+ .3333333333
———————-
.9999999999

How far do we carry this out until 3 + 3 + 3 equals 10? Because that’s the only way we go from .9 repeating to 1.
Posted by Duke
Dillon, CO
Member since Jan 2008
36408 posts
Posted on 9/17/19 at 10:25 am to
quote:

How does infinity change 3+3+3 from equaling 9 to equaling 10?


Again the threes repeating is an approximation for your calculator. 0.3333 repeating is equal to 1/3 though, and thus add it together three times you get 1. Just like adding 1/3 three times.

Another proof for you:

Let x = 0.999 repeating

10x = 9.999 repeating

10x - x = 9.999 repeating - .999 repeating

9x = 9

x = 1

ETA: Let's do it with non infinitely repeating digits.

x = .999
10x = 9.99
10x - x = 9.99 - .999
9x = 8.991
x =/= 1

In the first case, since .999 repeats to infinity you still have it repeat to infinity when you have the decimal shift due to multiplying by 10. In the second, you don't. So you can't get to 1 the second way but you do the first.
This post was edited on 9/17/19 at 10:32 am
Posted by PhiTiger1764
Lurker since Aug 2003
Member since Oct 2009
14330 posts
Posted on 9/17/19 at 10:29 am to
quote:

.9 repeating is less than 1 unless the laws of “infinity” somehow change 3+3+3 from equaling 9 to equaling 10.

Do you agree that a 1 foot gold bar can be split into 3 equal thirds?

Three gold bars of exactly 4 inches each = 12 inches = 1 foot.

Exactly how many feet would each 4 inch gold bar be?
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
102573 posts
Posted on 9/17/19 at 10:31 am to
quote:

Do you agree that a 1 foot gold bar can be split into 3 equal thirds?

Three gold bars of exactly 4 inches each = 12 inches = 1 foot.

Exactly how many feet would each 4 inch gold bar be?


Posted by Displaced
Member since Dec 2011
32920 posts
Posted on 9/17/19 at 10:37 am to
quote:

.3333333333
+ .3333333333
+ .3333333333
———————-
.9999999999

How far do we carry this out until 3 + 3 + 3 equals 10? Because that’s the only way we go from .9 repeating to 1.

Ok, so what is 10 - 9.999 repeating?

When do you ever get a digit that isn't 0?

You're being purposefully obtuse by overlooking the meaning of infinity.
Posted by LNCHBOX
70448
Member since Jun 2009
86903 posts
Posted on 9/17/19 at 10:39 am to
quote:

.3333333333
+ .3333333333
+ .3333333333
———————-
.9999999999

How far do we carry this out until 3 + 3 + 3 equals 10? Because that’s the only way we go from .9 repeating to 1.
quote:

You're making false equivalencies.
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
102573 posts
Posted on 9/17/19 at 10:42 am to
quote:

How far do we carry this out until 3 + 3 + 3 equals 10?


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