I AM GOING TO DISAGREE WITH YOU BLINDLY EVEN THOUGH THERE ARE 500 ARGUMENTS FOR 0.9999...=1 THAT MAKE PERFECT SENSE BECAUSE I AM CONVINCED THEY ARE DIFFERENT NUMBERS BASED PURELY ON ACCOUNT OF THEM LOOKING DIFFERENT.
So yesterday I decided to be a lazy ass and go to Taco Bell instead of cooking something. BIG MISTAKE. Today, I woke up in horror to find that I was in a small pool of liquid feces, the result of eating low quality processed meat. My dog, who was currently sitting on my bed, seemed to love it. He was slowly but surely licking away at my shit-covered sheets, enjoying every bit of it, all the while making a big mess of himself. He then proceeded to hop off my bed and walked back to another room in the house. He left a disgusting trail along the way. I couldn't do anything about it; getting out of bed to pick up my dog would only make an even bigger mess. I had to think of something quick, for I had to go to work in a few hours. I didn't know what to do, so I just stripped all my clothing, left it on my bed, and ran to the bathroom to take a shower. It took quite a while to get the awful stench off my body. When I had finally finished, to my surprise, my dog had come back at least a few more times to feast upon my waste. He was covered in my brown butter from head to paw. No room was left untouched... The entire floor was coated in shit, in addition to many pieces of white furniture. Well, at least they WERE white. I decided to wash away my worries with a drink and went off to work. I'll clean it up later, I said to myself. It'll all work out okay. No one will no about this. Oh, how wrong I was. Apperantly, the scent was so god awful that my neighbors could smell it too, and they called in a sanitation crew who cleaned it all up. By this time, everyone in the neighborhood had heard of this. I was so embarassed. Ah, shit.
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Anonymous2006-12-28 17:01
And what does this have to do with the thread?
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Anonymous2006-12-28 20:32
When the thread's a tired, flame bait retread of something that's proven three different ways at least seventeen times a week,
>>10, that cannot work, as you create a series of 9's that is one shorter than you started with. Since you didn't start with infinity {as this is impossible}, you cannot multiply by 10 and keep infinity.
>>1,
"1 = 0.9999" is incorrect
Even saying "1 = 0.9999...." is incorect
It's possible saying "lim x=0.9999... = 1" is correct.
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Anonymous2006-12-31 20:20
>>24
"Since you didn't start with infinity {as this is impossible}"
Incorrect.
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Anonymous2006-12-31 20:51
>>24
So he forgot his ellipsis. At least he gets it - .999... and 1 are the same number. 'lim x=0.9999... = 1' doesn't mean anything; go catch up to high-school-level coverage of limits before you try to use them.
Higher Level Maths for Leaving Certificate in Ireland is better than high school maths. You cannot multiply by 10 and gain a decimal {in this case, another 9}. To do so is to break logic. Arguing "there are infinite 9's" doesn't work. If there is not an end, you cannot modify it. You must lose the last digit.
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Anonymous2007-01-01 19:02
Continuing 28...
0.9999... < 1
How much smaller than 1? Some incomprehensibly small amount.
No matter how many places of decimal you go into infinity, you will still not have 1. You can get as close as you want, but you will not reach 1. At least, not with math.
Scientificaly 0.9999... = 1.
Mathamaticaly, they are different. Only one can be placed on the number line, as only one is rational {i.e. 0.9999... is not rational. 1 is}. Irrational numbers can be found on the number line, but one without a true value cannot {i.e. square-root of 2 can be found on a number line. It involves rotating the line from 0,0 to 1,1 onto the numberline. This gives a definite point if you're using math}.
I still fail to see any proof that 0.9999... is 1. It can be as close as you want it to be to 1.
any number with a periodic decimal expansion is rational you fucking noob.
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Anonymous2007-01-01 21:30
>>29
You have four unrelated equations there. OP moved from one equation to another with a *2 and from that to the last one with a *1.5. They giving these certificates to anyone who walks in and sounds confident or something?