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1. Can you express 0.333 repeating as a ratio of two integers?
2. What is the value of three times 0.333 repeating?
2. What is the value of three times 0.333 repeating?
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No, I did not steal that from somebody on Something Awful. -
Every proof of this is proving 1 = 1.Jon Miller: MikeH speaks the truth
Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
We've got both kindsComment
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Yes, but some ways of going about proving it are more intuitive than others.No, I did not steal that from somebody on Something Awful.Comment
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I think the most intuitive is express 1/9 as a decimal then multiply by 9. Assuming we can all agree 9/9 = 1Jon Miller: MikeH speaks the truth
Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
We've got both kindsComment
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I was heading that way, using 3/3 = 1.No, I did not steal that from somebody on Something Awful.Comment
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I can imagine people wondering where the 3s came from.
Jon Miller: MikeH speaks the truth
Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
We've got both kindsComment
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His proof is that there isn't a number between the two, therefore they're the same number (the real number line is continuous, so two different numbers will always have an uncountably infinite cardinality of numbers in between them)Originally posted by gribbler View PostSo his proof is "They both equal one. Therefore, they both equal one."
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x-shmartie'd
I know, but it's grade school.
No, I did not steal that from somebody on Something Awful.Comment
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How did he prove that no number comes between them?Originally posted by loinburger View PostComment
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Are you playing devil's advocate, or do you suck at math?<p style="font-size:1024px">HTML is disabled in signatures </p>Comment
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The Tax man says .999 is 1 so it must be true..........Comment
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Originally posted by kentonio View PostProving once again that whatever position you take will always be wrong.
.9 recurring does not equal 1 ffs!
Is it really that hard for people to understand that base 10 is not injective with real numbers?If there is no sound in space, how come you can hear the lasers?
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I imagine most people have no idea what injective means. The only reason I do is because I happen to be relearning this stuff right now.Originally posted by Hauldren Collider View Post
Is it really that hard for people to understand that base 10 is not injective with real numbers?Click here if you're having trouble sleeping.
"We confess our little faults to persuade people that we have no large ones." - François de La RochefoucauldComment
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Please explain what injective means so that your post will make sense to a normal person. My web browser thinks it's not spelled correctly and has put a red line under it.Originally posted by Hauldren Collider View Post
Is it really that hard for people to understand that base 10 is not injective with real numbers?Comment
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It means it does excessive amounts of heroin, obviously.
If there is no sound in space, how come you can hear the lasers?
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