# Simplest Yet One of the Toughest Math Questions I've Seen

### #1

Posted 18 July 2012 - 06:27 PM

Alright, here's a tough math related question if you think about it and take what I say leading up to it into consideration; here you all go, have fun:

• In math, if there's a uniform pattern, it'll continue on and you can guess the upcoming sequence/series by predicting from the pattern seen before it.

Example: 2, 4, 6, 8, _ = 10

It is an approved math law and one that is used by scientists and mathematicians globallly to do work - they often times simply see and use a pattern to figure something out that they are working on.

• Moving on with that ( ^ ), here is my question to you with that specific law applied to it.

It is considered that 1/1 = 1, but here's something that questions if it really is 1 or not.

1/3 = 0.3333...

2/3 = 0.6666...

Now, using the law of sequences and series, moving forward, seeing and utilizing the pattern seen above, this is what the next blank should be:

3/3 = 0.9999...

If 3/3 = 1/1, shouldn't that mean that 1/1 technically = 0.9999... ?

I'm not saying 1/1 = 0.9999..., but what evidence can there be to prove this wrong cause this is evidence that 3/3 is/can be = 0.9999...

**"You know what my favourite Super Bowl is? The next one." **

**- Tom Brady**

### #2

Posted 18 July 2012 - 06:31 PM

Thanks VC for the sig!

Demo was great, but I'm a two-way guy.

### #3

Posted 18 July 2012 - 06:39 PM

*Friend brought this up today and I found it pretty intriguing, tricky, and difficult. So I thought I'd ask cdc on what they think of it.*

Alright, here's a tough math related question if you think about it and take what I say leading up to it into consideration; here you all go, have fun:

• In math, if there's a uniform pattern, it'll continue on and you can guess the upcoming sequence/series by predicting from the pattern seen before it.

Example: 2, 4, 6, 8, _ = 10

It is an approved math law and one that is used by scientists and mathematicians globallly to do work - they often times simply see and use a pattern to figure something out that they are working on.

• Moving on with that ( ^ ), here is my question to you with that specific law applied to it.

It is considered that 1/1 = 1, but here's something that questions if it really is 1 or not.

1/3 = 0.3333...

2/3 = 0.6666...

Now, using the law of sequences and series, moving forward, seeing and utilizing the pattern seen above, this is what the next blank should be:

3/3 = 0.9999...

If 3/3 = 1/1, shouldn't that mean that 1/1 technically = 0.9999... ?

I'm not saying 1/1 = 0.9999..., but what evidence can there be to prove this wrong cause this is evidence that 3/3 is/can be = 0.9999...

0/3 = 0

1/3 = 0.3333...

2/3 = 0.6666...

3/3 = 1

You forgot to write the whole sequence. 1 fits the pattern just fine.

### #4

Posted 18 July 2012 - 06:44 PM

**Press the Panic Button!**

**Derek Boogaard, Rick Rypien, Wade Belak, Lokomotiv Jaroslavl**

Sig by

**.CM.**

### #5

Posted 18 July 2012 - 06:44 PM

What number comes up if 1 is divided by infinity?

**"My goal is to win the Stanley Cup, and after the offer I received from Buffalo, I believe this is the best place to make it happen." - Christian Ehrhoff**

### #6

Posted 18 July 2012 - 06:47 PM

**"You know what my favourite Super Bowl is? The next one." **

**- Tom Brady**

### #7

Posted 18 July 2012 - 06:49 PM

I want to play.

What number comes up if 1 is divided by infinity?

Lets just say you cant finish writing the answer out .

### #8

Posted 18 July 2012 - 06:50 PM

A bunch of panicking physicists?I want to play.

What number comes up if 1 is divided by infinity?

### #9

Posted 18 July 2012 - 06:51 PM

*Friend brought this up today and I found it pretty intriguing, tricky, and difficult. So I thought I'd ask cdc on what they think of it.*

Alright, here's a tough math related question if you think about it and take what I say leading up to it into consideration; here you all go, have fun:

• In math, if there's a uniform pattern, it'll continue on and you can guess the upcoming sequence/series by predicting from the pattern seen before it.

Example: 2, 4, 6, 8, _ = 10

It is an approved math law and one that is used by scientists and mathematicians globallly to do work - they often times simply see and use a pattern to figure something out that they are working on.

• Moving on with that ( ^ ), here is my question to you with that specific law applied to it.

It is considered that 1/1 = 1, but here's something that questions if it really is 1 or not.

1/3 = 0.3333...

2/3 = 0.6666...

Now, using the law of sequences and series, moving forward, seeing and utilizing the pattern seen above, this is what the next blank should be:

3/3 = 0.9999...

If 3/3 = 1/1, shouldn't that mean that 1/1 technically = 0.9999... ?

I'm not saying 1/1 = 0.9999..., but what evidence can there be to prove this wrong cause this is evidence that 3/3 is/can be = 0.9999...

Good question. It reminds me of 'infinite progression' , which is not unlike Descartes original dissertation .

The concepts are not necessarily identical but nonetheless.

There is no actual mathematical expression that can define 1/3 in decimal form so both descriptions are not accurate that way.They form a loop that never satisfies itself .

Here is a place where similar questions are asked.

**http://www.instructa.../Deep-Thinkers/**

### #10

Posted 18 July 2012 - 06:53 PM

Lets just say you cant finish writing the answer out .

A bunch of panicking physicists?

Slackers.

**"My goal is to win the Stanley Cup, and after the offer I received from Buffalo, I believe this is the best place to make it happen." - Christian Ehrhoff**

### #11

Posted 18 July 2012 - 06:55 PM

Lets just say you cant finish writing the answer out .

=

**1**

____

**(0/0)**

### #12

Posted 18 July 2012 - 06:58 PM

=

1

____(0/0)

pshh don't be so silly. You didn't WRITE that out .

### #13

Posted 18 July 2012 - 07:07 PM

### #14

Posted 18 July 2012 - 07:15 PM

Just say you shoot an arrow at a target. When it travels to its target, it has to go half way, then half of rest of the way, then half of the rest of the way, then half of the rest of the way... and so on, forever. This formula shows that the arrow will never be able to get to the target, which is why 1=0.9999...

what happens when it gets to 1 atom? considering the arrow has to move forward, it hits the target. and for the op, the whole .333 and .666 is just the limitation of decimals, nothing more

Credit to bananamash for the sig. Credit to torts for being stubborn

**Bring Back the Totems!****NHLSL Winnipeg Jets**

### #15 Guest_BuckFoston_*

Posted 18 July 2012 - 07:24 PM

### #16

Posted 18 July 2012 - 07:28 PM

### #17

Posted 18 July 2012 - 07:45 PM

I want to play.

What number comes up if 1 is divided by infinity?

Infinity is actually One.

All is a Unity.

Therefore, 1.

/ Do I win?

**Edited by theminister, 18 July 2012 - 07:46 PM.**

**NEW YORK ISLANDERS ROSTER - CDC GM LEAGUE**

**2013 CDCGML CUP CHAMPIONS**

### #18

Posted 18 July 2012 - 07:47 PM

Glad to see you people enjoy math so much.

Sure do.

### #19

Posted 18 July 2012 - 08:06 PM

*Friend brought this up today and I found it pretty intriguing, tricky, and difficult. So I thought I'd ask cdc on what they think of it.*

Alright, here's a tough math related question if you think about it and take what I say leading up to it into consideration; here you all go, have fun:

• In math, if there's a uniform pattern, it'll continue on and you can guess the upcoming sequence/series by predicting from the pattern seen before it.

Example: 2, 4, 6, 8, _ = 10

It is an approved math law and one that is used by scientists and mathematicians globallly to do work - they often times simply see and use a pattern to figure something out that they are working on.

• Moving on with that ( ^ ), here is my question to you with that specific law applied to it.

It is considered that 1/1 = 1, but here's something that questions if it really is 1 or not.

1/3 = 0.3333...

2/3 = 0.6666...

Now, using the law of sequences and series, moving forward, seeing and utilizing the pattern seen above, this is what the next blank should be:

3/3 = 0.9999...

If 3/3 = 1/1, shouldn't that mean that 1/1 technically = 0.9999... ?

I'm not saying 1/1 = 0.9999..., but what evidence can there be to prove this wrong cause this is evidence that 3/3 is/can be = 0.9999...

It's been said already above, but there are 2 glaring errors in this line of thinking:

1) The assumption that just because a pattern fits, that it is actually correct and will continue indefinitely. For example, what is the pattern here:

3, 5, 7, ?

You probably want to say 9, right? Wrong. The next number is actually 11, because the sequence is a list of prime numbers.

2) The use of decimals to represent fractions is a convenient estimate, but is not exact. 1/3 is not actually 0.333. It is 0.333infinity.

So the convenience of using decimals can't then be used to "prove" that 3/3 should be 0.999.

-Ralph Wiggum

### #20

Posted 18 July 2012 - 08:43 PM

### #21

Posted 18 July 2012 - 08:48 PM

**Edited by Ti'gol Bitties, 18 July 2012 - 08:48 PM.**

### #22

Posted 18 July 2012 - 08:50 PM

### #23

Posted 18 July 2012 - 09:55 PM

well I'm sorry that gd is soo perfect

### #24

Posted 18 July 2012 - 11:42 PM

2/3 is 2/3.

3/3 is 3/3 or 1/1 or 1.

1/3 is not .333. This is an estimate.

2/3 is not .666. This is an estimate.

3/3 is not .999. This is just stupid.

### #25

Posted 19 July 2012 - 12:13 AM

Made my night,Are you serious? This is stupid. The first two are already broken down to the lowest fraction where 3/3 isn't. Not to mention to get your 0.33333... you divide 1 by 3 if you divide 3 by 3 you get 1. Seriously, this is retarded.

### #26

Posted 19 July 2012 - 07:49 PM

lets

**x be .9999999**repeating,

**x=.99999**, if we multiply both sides by

**100,**or whatever number you want, we get,

**100x = 99.999999**

Now that we have two equations, to solve, we subtract

**100x=99.99999**by

**x=.999999**

**100x=99.999999**

**- 1x= .999999**

We now get,

**99x=99**

So,

**x=1**, which means

**1= .9999999**as they both equal to

**x**.

In conclusion, 3/3 can be

**1**

**OR .9999**as they are the equal.

**.99999**is just a different notation of writing

**1**.

This applies to other numbers as well,

**2.999=3,**or

**4.49999 = 4.5, etc.**

**Edited by whysoserious, 19 July 2012 - 07:53 PM.**

### #27

Posted 19 July 2012 - 07:54 PM

Credit to bananamash for the sig. Credit to torts for being stubborn

**Bring Back the Totems!****NHLSL Winnipeg Jets**

### #28

Posted 19 July 2012 - 11:36 PM

Well, lets look at it algebraically,

letsx be .9999999repeating,x=.99999, if we multiply both sides by100,or whatever number you want, we get,100x = 99.999999

Now that we have two equations, to solve, we subtract100x=99.99999byx=.999999100x=99.999999- 1x= .999999

We now get,99x=99

So,x=1, which means1= .9999999as they both equal tox.

In conclusion, 3/3 can be1OR .9999as they are the equal..99999is just a different notation of writing1.

This applies to other numbers as well,2.999=3,or4.49999 = 4.5, etc.

Great explanation, +1 you tomorrow good sir

**"You know what my favourite Super Bowl is? The next one." **

**- Tom Brady**

### #29

Posted 19 July 2012 - 11:46 PM

### #30

Posted 20 July 2012 - 12:16 AM

Well, lets look at it algebraically,

letsx be .9999999repeating,x=.99999, if we multiply both sides by100,or whatever number you want, we get,100x = 99.999999

Now that we have two equations, to solve, we subtract100x=99.99999byx=.999999100x=99.999999- 1x= .999999

We now get,99x=99

So,x=1, which means1= .9999999as they both equal tox.

In conclusion, 3/3 can be1OR .9999as they are the equal..99999is just a different notation of writing1.

This applies to other numbers as well,2.999=3,or4.49999 = 4.5, etc.

Gold.