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PI = 3.14159265...

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Originally posted by: Jon855
Originally posted by: hypn0tik
Originally posted by: Zim Hosein
Originally posted by: feelingshorter
Originally posted by: dartworth
does .9999999999999999999999999999999999 = 1 ?
Click to expand...

yes
Click to expand...

No :evil:
Click to expand...

Proof:

Let x = 0.99999999999999999999999999...
then 10x = 9.9999999999999999999999999...

10x - x = 9 (since everything after the decimal cancel's out)
9x = 9
x = 1

Hence 0.999999... = 1

Q.E.D.
Click to expand...

What about if you don't cancel the decimal?

okay here goes...

.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
IS NOT
1.0
Click to expand...

You're right. It isn't. You need to have an infinite amount of trailing 9's for 0.999... to equal 1.
 
Originally posted by: SagaLore
Don't you guys dare hijack this thread with that debate. :frown:

I want to know because I want to know. It has been bugging me for many years.
Click to expand...


Heh Heh.

How about this? Does that answer your question?

Pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 ......
 
Originally posted by: SagaLore
Don't you guys dare hijack this thread with that debate. :frown:

I want to know because I want to know. It has been bugging me for many years.
Click to expand...
Do you dream about PI in your sleep by any chance?
 
Originally posted by: stan394
Originally posted by: SagaLore
Don't you guys dare hijack this thread with that debate. :frown:

I want to know because I want to know. It has been bugging me for many years.
Click to expand...


Heh Heh.

How about this? Does that answer your question?

Pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 ......
Click to expand...

Hmm... that is interesting...

😕

What I'm saying about base, is for example take base 8. You write it out as octets. Or base 16, you write it out as hexadecimal. What I'm thinking is that base 10, our decimal system, causes an imperfect representation of PI. I'm looking for a base that can make PI a divisble number into a whole integer.
 
Originally posted by: SagaLore
Originally posted by: stan394
Originally posted by: SagaLore
Don't you guys dare hijack this thread with that debate. :frown:

I want to know because I want to know. It has been bugging me for many years.
Click to expand...


Heh Heh.

How about this? Does that answer your question?

Pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 ......
Click to expand...

Hmm... that is interesting...

😕

What I'm saying about base, is for example take base 8. You write it out as octets. Or base 16, you write it out as hexadecimal. What I'm thinking is that base 10, our decimal system, causes an imperfect representation of PI. I'm looking for a base that can make PI a divisble number into a whole integer.
Click to expand...

Bases have nothing to do with the intrinsic properties of a number. You think if we lived in a base 9 world or a base 8 world that some of our theories in mathematics would be false? Of course not! The term "base" only has to do with the representation of the number, how we write a number, and the language of mathematics. It has nothing to do with what the number actually "is". What you're doing is pointing to a chair and saying "This is called a chair in English, but I want it to be something else in French."
 
Originally posted by: chuckywang
Bases have nothing to do with the intrinsic properties of a number. You think if we lived in a base 9 world or a base 8 world that some of our theories in mathematics would be false? Of course not! The term "base" only has to do with the representation of the number, how we write a number, and the language of mathematics. It has nothing to do with what the number actually "is". What you're doing is pointing to a chair and saying "This is called a chair in English, but I want it to be something else in French."
Click to expand...

No. That is not what I'm trying to accomplish.

In base 10, 9 into 11 is 0.81818181818181...infinite repeat.

11 character set - 0 1 2 3 4 5 6 7 8 9 A, 11 = 10, the fraction would be 9/10 (in base 11).

In base 11, it would be represented as .9

Correct me if I'm wrong.
 
Originally posted by: Howard
0.999999999999999999999999999999999999999999999999999999 != 1.
0.9... (or, equivalently, 0.9r) = 1.

CASE CLOSED
Click to expand...

why do people who have PhD's in math disagree with you then?
 
Originally posted by: SagaLore
Originally posted by: chuckywang
Bases have nothing to do with the intrinsic properties of a number. You think if we lived in a base 9 world or a base 8 world that some of our theories in mathematics would be false? Of course not! The term "base" only has to do with the representation of the number, how we write a number, and the language of mathematics. It has nothing to do with what the number actually "is". What you're doing is pointing to a chair and saying "This is called a chair in English, but I want it to be something else in French."
Click to expand...

No. That is not what I'm trying to accomplish.

In base 10, 9 into 11 is 0.81818181818181...infinite repeat.

11 character set - 0 1 2 3 4 5 6 7 8 9 A, 11 = 10, the fraction would be 9/10 (in base 11).

In base 11, it would be represented as .9

Correct me if I'm wrong.
Click to expand...

Yeah, that's right. However, in whatever base you try (as long as the base is rational), 9/11 will be rational (able to be represented by the ratio of two integers). Pi is most certainly not rational so you're SOL.

I guess you can cheat your answer cause pi = 1 (base pi).
😛
 
Originally posted by: chuckywang
Originally posted by: SagaLore
Originally posted by: chuckywang
Bases have nothing to do with the intrinsic properties of a number. You think if we lived in a base 9 world or a base 8 world that some of our theories in mathematics would be false? Of course not! The term "base" only has to do with the representation of the number, how we write a number, and the language of mathematics. It has nothing to do with what the number actually "is". What you're doing is pointing to a chair and saying "This is called a chair in English, but I want it to be something else in French."
Click to expand...

No. That is not what I'm trying to accomplish.

In base 10, 9 into 11 is 0.81818181818181...infinite repeat.

11 character set - 0 1 2 3 4 5 6 7 8 9 A, 11 = 10, the fraction would be 9/10 (in base 11).

In base 11, it would be represented as .9

Correct me if I'm wrong.
Click to expand...

Yeah, that's right. However, in whatever base you try (as long as the base is rational), 9/11 will be rational (able to be represented by the ratio of two integers). Pi is most certainly not rational so you're SOL.

I guess you can cheat your answer cause pi = 1 (base pi).
😛
Click to expand...

You mean 10 right?
 
Originally posted by: TuxDave
Originally posted by: chuckywang
Originally posted by: SagaLore
Originally posted by: chuckywang
Bases have nothing to do with the intrinsic properties of a number. You think if we lived in a base 9 world or a base 8 world that some of our theories in mathematics would be false? Of course not! The term "base" only has to do with the representation of the number, how we write a number, and the language of mathematics. It has nothing to do with what the number actually "is". What you're doing is pointing to a chair and saying "This is called a chair in English, but I want it to be something else in French."
Click to expand...

No. That is not what I'm trying to accomplish.

In base 10, 9 into 11 is 0.81818181818181...infinite repeat.

11 character set - 0 1 2 3 4 5 6 7 8 9 A, 11 = 10, the fraction would be 9/10 (in base 11).

In base 11, it would be represented as .9

Correct me if I'm wrong.
Click to expand...

Yeah, that's right. However, in whatever base you try (as long as the base is rational), 9/11 will be rational (able to be represented by the ratio of two integers). Pi is most certainly not rational so you're SOL.

I guess you can cheat your answer cause pi = 1 (base pi).
😛
Click to expand...

You mean 10 right?
Click to expand...

😱 yes.
 
Originally posted by: MAME
Originally posted by: Howard
0.999999999999999999999999999999999999999999999999999999 != 1.
0.9... (or, equivalently, 0.9r) = 1.

CASE CLOSED
Click to expand...

why do people who have PhD's in math disagree with you then?
Click to expand...
Who said people with PhDs are infallible?
 
Originally posted by: chuckywang
Originally posted by: MAME
Originally posted by: Howard
0.999999999999999999999999999999999999999999999999999999 != 1.
0.9... (or, equivalently, 0.9r) = 1.

CASE CLOSED
Click to expand...

why do people who have PhD's in math disagree with you then?
Click to expand...

Like who?
Click to expand...

like the entire math community? I've discussed this topic many times with my professor and he was quite surprised that anyone could even try to contest the fact that they are exactly equal. He was the head of the math dept and pretty well known in the field.
 
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