Does .999999... = 1? - Topic

darkfire

Retired Moderator

Posts: 10,292

Joined: Jun 5 2003

Gold: 35.00

Trader: Trusted

#121

Apr 15 2010 11:38pm

Quote (Kamikizzle @ Apr 16 2010 12:35am)

hi im 12 and what is this

Basically, it is the way we define real numbers. Pick a point on the real number line and call it a. If any number is greater than any number less than a and is less than any number greater than a, then define it to be the same number as a. It is obvious that .999... satisfies this property, as you cannot stick any number between .999... and 1.

Kahl4Prez

Member

Posts: 5,030

Joined: Jun 11 2009

Gold: 817.00

#122

Apr 16 2010 12:14am

Quote (Legionair @ Apr 16 2010 12:37am)

ok what is 1/3 in decimal? will that decimal ever equal 1? answer me this dipshit

... ur a dumbass...

1/3 will never = 1... thats what u asked...

1/3 as a decimal is .333... and .333... will never = 1 but it does = 1/3

ur a dumbass... nuff said...

Leeevee

Member

Posts: 12,199

Joined: Jun 3 2006

Gold: 10,188.69

#123

Apr 16 2010 12:38am

Quote (jimmyjumbo @ Apr 11 2010 12:46pm)

thats like if u keep halfing a number, will it = 0?

no, but it approaches 0

2^(-x) Same thing, it will never ever equal zero but it's going to end up in 0,0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001

Note the 1 at the end of that number ^^

themadhobo

Member

Posts: 928

Joined: Aug 23 2007

Gold: 1,231.00

#124

Apr 16 2010 02:00am

Quote (darkfire @ Apr 16 2010 04:56am)

You need to explain that.

In general, this is completely wrong, just fyi. The basic Dedekind Cut/Cauchy Sequence definition of a real number does not, in any way, rely on a series construction.

thats my bad, I mean addition not multiplication.

1 = 1/2 + 1/4 + 1/8 + ... + 1/2^n

Greeley

Member

Posts: 25,596

Joined: Jan 10 2009

Gold: 5,337.00

#125

Apr 16 2010 02:02am

Using your logic, no.

Hammer_Hdin

Member

Posts: 18,180

Joined: Jun 5 2009

Gold: 5.00

Warn: 10%

#126

Apr 16 2010 04:34am

0.3333 etc infinitely recurring is not approximately 1/3, it is exactly 1/3
1/3 times three is exactly 1, or 0.9999 infinitely recurring.
0.9999 etc infinitely recurring makes it infinitely close to 1 which makes it 1.

Hammer_Hdin

Member

Posts: 18,180

Joined: Jun 5 2009

Gold: 5.00

Warn: 10%

#127

Apr 16 2010 04:35am

Quote (Forg0tten @ Apr 16 2010 04:38pm)

Nope because that is only to say you have a finite amount of numbers.
If you have infinity numbers (and no less) then you no longer have a finite amount which makes it infinitely close to 1, AKA 1 exactly.

Taxidermy

Member

Posts: 27,078

Joined: Jun 20 2006

Gold: 700.00

#128

Apr 16 2010 06:39am

lol this is still going?

coffe90

Member

Posts: 4,824

Joined: Jul 12 2009

Gold: 0.00

Warn: 10%

#129

Apr 16 2010 11:00am

Quote (Kahl4Prez @ Apr 11 2010 01:57pm)

wow 2 people respond, and 2 people have a limited understanding of our mathematics...

what does 1/3 = ??????

ok now take 1/3 and x 3 = 1

1/3 = ????????

now multiply ????????? x 3 and what do u get?

.99999999...

there is my first fast proof...

YOUR FIRST FAST PROOF IS SHIT AND ALSO WRONG.

0,333 IS NOT EQUAL TO 1/3 ITS APROXIMATLY BUT NOT EXACLY AND THE PROOF IS THAT IF YOU MULTIPLY 0,33 X3 YOU WILL GET 0.99 NEVER 1

infinitesimal

Member

Posts: 5,219

Joined: Oct 29 2009

Gold: 0.00

Warn: 20%

#130

Apr 16 2010 11:03am

Quote (coffe90 @ Apr 16 2010 10:00am)

YOUR FIRST FAST PROOF IS SHIT AND ALSO WRONG.

0,333 IS NOT EQUAL TO 1/3 ITS APROXIMATLY BUT NOT EXACLY AND THE PROOF IS THAT IF YOU MULTIPLY 0,33 X3 YOU WILL GET 0.99 NEVER 1

OMG OMG

UR RONG

Go Back To Homework Help Topic List