If a circle has an infinite diameter..

Page 2 - Seeking answers? Join the AnandTech community: where nearly half-a-million members share solutions and discuss the latest tech.

archcommus

Diamond Member
Sep 14, 2003
8,115
0
76
Originally posted by: Howard
Why is there no true decimal representation of 1/3?
Well, if you want to say there is, it would have to be .3 repeating INFINITELY, no set amount of 3s. Meaning that number * 3 = .9 repeating INFINITELY, not 1. So close to it but not quite.

But doesn't matter anyway because I agree with the Blizzard proof.
 

GML3G0

Golden Member
Jan 1, 2005
1,356
0
0
Originally posted by: archcommus
Originally posted by: Howard
Why is there no true decimal representation of 1/3?
Well, if you want to say there is, it would have to be .3 repeating INFINITELY, no set amount of 3s. Meaning that number * 3 = .9 repeating INFINITELY, not 1. So close to it but not quite.

But doesn't matter anyway because I agree with the Blizzard proof.
: sigh :

1/3 = 0.33333.... infinitely

0.3333... (infinitely) * 3 = 0.999.. (infinitely)

so if 1/3 * 3 = 1, and 0.333 (infinitely) is the same as 1/3, then 0.333 (infinitely) * 3 should also = 1.

but w/e, either proof works.
 

archcommus

Diamond Member
Sep 14, 2003
8,115
0
76
Originally posted by: GML3G0
Originally posted by: archcommus
Originally posted by: Howard
Why is there no true decimal representation of 1/3?
Well, if you want to say there is, it would have to be .3 repeating INFINITELY, no set amount of 3s. Meaning that number * 3 = .9 repeating INFINITELY, not 1. So close to it but not quite.

But doesn't matter anyway because I agree with the Blizzard proof.
: sigh :

1/3 = 0.33333.... infinitely

0.3333... (infinitely) * 3 = 0.999.. (infinitely)

so if 1/3 * 3 = 1, and 0.333 (infinitely) is the same as 1/3, then 0.333 (infinitely) * 3 should also = 1.

but w/e, either proof works.
Yeah, makes sense.
 

Howard

Lifer
Oct 14, 1999
47,986
11
81
Originally posted by: archcommus
Originally posted by: GML3G0
Originally posted by: archcommus
Originally posted by: Howard
Why is there no true decimal representation of 1/3?
Well, if you want to say there is, it would have to be .3 repeating INFINITELY, no set amount of 3s. Meaning that number * 3 = .9 repeating INFINITELY, not 1. So close to it but not quite.

But doesn't matter anyway because I agree with the Blizzard proof.
: sigh :

1/3 = 0.33333.... infinitely

0.3333... (infinitely) * 3 = 0.999.. (infinitely)

so if 1/3 * 3 = 1, and 0.333 (infinitely) is the same as 1/3, then 0.333 (infinitely) * 3 should also = 1.

but w/e, either proof works.
Yeah, makes sense.
... What?
 

archcommus

Diamond Member
Sep 14, 2003
8,115
0
76
Originally posted by: Howard
Originally posted by: archcommus
Originally posted by: GML3G0
Originally posted by: archcommus
Originally posted by: Howard
Why is there no true decimal representation of 1/3?
Well, if you want to say there is, it would have to be .3 repeating INFINITELY, no set amount of 3s. Meaning that number * 3 = .9 repeating INFINITELY, not 1. So close to it but not quite.

But doesn't matter anyway because I agree with the Blizzard proof.
: sigh :

1/3 = 0.33333.... infinitely

0.3333... (infinitely) * 3 = 0.999.. (infinitely)

so if 1/3 * 3 = 1, and 0.333 (infinitely) is the same as 1/3, then 0.333 (infinitely) * 3 should also = 1.

but w/e, either proof works.
Yeah, makes sense.
... What?
The second time he gave me that proof. Makes sense to me.