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0.999... = 1


Aeron

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Posted

0.333... = 1/3

3 * 0.333... = 3 * 1/3

0.999... = (3*1)/3

0.999... = 1

c = 0.999...

10c = 9.99...

10c - c = 9.99... - 0.999...

9c = 9

c = 1

Thus, 0.999... = 1

http://en.wikipedia.org/wiki/0.999

"Never argue with an idiot. They bring you down to their level and beat you with experience."

"Arguing on the internet is like the Special Olympics. Even if you win, you're still retarded."

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  • 3 weeks later...
Posted
well, .3333.. is equal to 1/3 and .6666.... is equal to 2/3

so why wouldn't .9999.... be equal to 1?

0.3333.. is not equal to 1/3

You can't represent 1/3 in a plain number, its infinite. It just makes it easier to ignore the fact that they're different.

Posted

That's why I prefer finite numbers :)

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Posted (edited)

I could swear this exact same conversation came up somewhere in the MTA world... long, long ago.

Punch .999999..... into a TI calc and you'll get 1. Its retarded math like imaginary numbers and stuff :P I guess we just aren't allowed to believe each numerical representation doesn't represent that exact value.

Its just like, for example, how a number can be infinitely small. .0000..........1. You'd have to think logically that there has to be only a certain amount of space between 1 and 0. Crazy stuff.

Edited by Guest

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  • MTA Team
Posted

sure, i posted it in #mta some time ago, that prolly why Aeron put it up here :P .

What they try to proof here is not that 0.999999999999 == 1 but that 0.9999 followed by an infinite number of 9s == 1.

0.33333... isn't a plain number, it is a never ending number, but it does equal 1/3. so 0.99999 (going on to the end of times) equals 1 .

Infinite is strange cause infinite - 1 == infinite again.

Posted
0.333... = 1/3

3 * 0.333... = 3 * 1/3

0.33333... isn't a plain number, it is a never ending number, but it does equal 1/3.

then

0.3333.. is not equal to 1/3

You can't represent 1/3 in a plain number, its infinite. It just makes it easier to ignore the fact that they're different.

i said 0.33333... is equal to 1/3 , was i wrong? :shock:

i just want things to be clear, i got nothing agianst Jax

Posted
0.333... = 1/3

3 * 0.333... = 3 * 1/3

0.33333... isn't a plain number, it is a never ending number, but it does equal 1/3.

then

0.3333.. is not equal to 1/3

You can't represent 1/3 in a plain number, its infinite. It just makes it easier to ignore the fact that they're different.

i said 0.33333... is equal to 1/3 , was i wrong? :shock:

i just want things to be clear, i got nothing agianst Jax

don't worry there's nothing wrong with hating jax. we all have our reasons

VCP FOREVER!

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