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re: Math weirdness: Infinite gold is not enough

Posted on 9/17/19 at 6:58 am to
Posted by CptRusty
Basket of Deplorables
Member since Aug 2011
11740 posts
Posted on 9/17/19 at 6:58 am to
This is only a problem if you are using the standard base 10 counting system. If you use a base 3 system, the gold divides evenly by 3.
Posted by Jon Ham
Member since Jun 2011
28588 posts
Posted on 9/17/19 at 7:16 am to
quote:

For whatever it’s worth, it’s pretty easy to show that 0.99999... repeating is exactly equal to one. Not very close, they are the same number.


If that’s true, then .3 repeating is exactly equal to .4.

But .4 x 3 = 1.2, not 1.

Edit: Correction - that would mean .3 repeating is exactly equal to???? .34? .34 x 3 = 1.02. No matter where where you round up it still doesn’t equal 1 when you times it by 3.
This post was edited on 9/17/19 at 7:33 am
Posted by madmaxvol
Infinity + 1 Posts
Member since Oct 2011
19148 posts
Posted on 9/17/19 at 7:18 am to
quote:

This story is irrational



Posted by Antonio Moss
Baton Rouge
Member since Mar 2006
48313 posts
Posted on 9/17/19 at 7:21 am to
quote:

You can’t split a foot into 3 equal 4 inch parts?


Yes. Clearly.

You simply can’t express 1/3 with 100% accuracy in decimal form.
Posted by madmaxvol
Infinity + 1 Posts
Member since Oct 2011
19148 posts
Posted on 9/17/19 at 7:22 am to
quote:

Who’s the fricking dumbass who invented the feet/inches measurement system and why did we listen to him?


Shoulda stuck with Cubits.
Posted by deltaland
Member since Mar 2011
90617 posts
Posted on 9/17/19 at 7:58 am to
quote:

Divide it into 30 pieces and give each 10.


Each individual piece of the 30 will be .333333333.....

Still same issue
Posted by PhiTiger1764
Lurker since Aug 2003
Member since Oct 2009
13858 posts
Posted on 9/17/19 at 8:06 am to
quote:

Still same issue

The issue is non existent. I’m sure you agree that it can be split in half, right?

If it can be divided into equal halves, it can also be divided into equal thirds.
Posted by Wait For It...
Member since Jun 2012
3502 posts
Posted on 9/17/19 at 8:51 am to
Should have given the favorite 3.4
Posted by LordoftheManor
Member since Jul 2006
8371 posts
Posted on 9/17/19 at 8:56 am to
quote:


3.333 repeating... multiplied by 3.... is exactly equal to 10.


This.

Just like 9.9999999 repeating is equal to 10.

If I'm wrong, find a number in between the two.
Posted by Ross
Member since Oct 2007
47824 posts
Posted on 9/17/19 at 9:02 am to
quote:

No, it isn't. It is close, but it isn't exact, mathematically speaking.


Mathematically speaking, he is correct and you are mistaken. There are a number of easy ways to prove this fact ranging from an infinite sum of a geometric sequence to simple proof by arithmetic or even algebra if you wish (all are a Google search away as this is a “fun” topic for those interested in math), but the answer is always the same. 0.9999 repeating is exactly equal to one and 9.9999 repeating by extension is exactly equal to ten. This is mathematical fact.
This post was edited on 9/17/19 at 9:03 am
Posted by Jon Ham
Member since Jun 2011
28588 posts
Posted on 9/17/19 at 9:24 am to
What is .1 repeating exactly equal to?

Edit: I don’t know if .1 repeating ever actually occurs, so let me ask what is .3 repeating exactly equal to?
This post was edited on 9/17/19 at 9:27 am
Posted by KamaCausey_LSU
Member since Apr 2013
14523 posts
Posted on 9/17/19 at 9:28 am to
You forgot Uncle Sam's cut.
Posted by Jon Ham
Member since Jun 2011
28588 posts
Posted on 9/17/19 at 9:29 am to
.9 is not 1.

.99 is not 1.

.999 is not 1.

At what point does it equal 1?

If it only equals one when you add an infinite amount of 9’s, then it never equals one because you will never be done adding 9’s.
Posted by MoarKilometers
Member since Apr 2015
17912 posts
Posted on 9/17/19 at 9:31 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.

Trick question, gold is weighed in troy ounces. A troy pound has 12 ounces. 3 lbs 4 ounces for each kid. Simple af.
quote:

Surely at some point its weight will max out and the next number will be 0, right?

Probably more flawed logic than not using troy weight.
Posted by mack the knife
EBR
Member since Oct 2012
4185 posts
Posted on 9/17/19 at 9:32 am to
quote:

CFDoc

quote:

This story is irrational

ISWYDT
Posted by PhiTiger1764
Lurker since Aug 2003
Member since Oct 2009
13858 posts
Posted on 9/17/19 at 9:33 am to
quote:

What is .1 repeating exactly equal to?

1/9
quote:

tually occurs, so let me ask what is .3 repeating exactly equal to

1/3
quote:

.9 is not 1.
.99 is not 1.
.999 is not 1.
At what point does it equal 1?

When it is repeating...
quote:

If it only equals one when you add an infinite amount of 9’s, then it never equals one because you will never be done adding 9’s.

Not true.
This post was edited on 9/17/19 at 9:35 am
Posted by HandGrenade
Member since Oct 2010
11225 posts
Posted on 9/17/19 at 9:34 am to
quote:

Or is there some cool reason inches/feet are better than centimeters/meters?


12 is divisible by 1,2,3,4,6, and 12.

10 is only divisible by 1,2,5, and 10.

Posted by Duke
Twin Lakes, CO
Member since Jan 2008
35623 posts
Posted on 9/17/19 at 9:54 am to
quote:

At what point does it equal 1?

If it only equals one when you add an infinite amount of 9’s, then it never equals one because you will never be done adding 9’s


The problem is that .33 repeating is actually approximate so 1/3 can be represented by decimal. A calculator doesn't have infinite digits to work with, so you get .33333333 as far as it can go. If you actually took it out infinitely, it can be proved mathematically it is actually 1/3.

Think about some number 1/x. If you take the limit, as x -----> infinity 1/x = 0. Same basic idea here.
Posted by Korkstand
Member since Nov 2003
28708 posts
Posted on 9/17/19 at 9:58 am to
quote:

If that’s true, then .3 repeating is exactly equal to .4.

quote:

Correction - that would mean .3 repeating is exactly equal to???? .34?
No, dumbass, it equals 1/3
quote:

No matter where where you round up it still doesn’t equal 1 when you times it by 3.
Jesus. Why are you trying to "round up"? 0.3 repeating is just the decimal equivalent of 1/3. It's just a different way to write the same number. There just isn't enough space in the universe to write out the "full" version of 0.3 repeating, so we just draw a line over the top of the 3. 1/3 is an actual number, and multiplying it by 3 is exactly equal to 1.
Posted by WildManGoose
Member since Nov 2005
4568 posts
Posted on 9/17/19 at 10:00 am to
quote:

If it only equals one when you add an infinite amount of 9’s, then it never equals one because you will never be done adding 9’s.



It's theoretical and a moot point as far as this thread is concerned. An object with finite mass will never have a weight with infinite repeating decimals. An actual 10 lb gold bar can not be divided into three equal parts, period.
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