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What is .99 repeating as a fraction?
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| February 2nd, 2012 at 11:23:28 AM permalink | |
| mustangsally Member since: Mar 29, 2011 Threads: 5 Posts: 170 | I am sure most know that .999... = 1. (and are aware that some still argue against that.) There are proofs everywhere. I like this one. 1/3 = .333... Multiply each side by 3. since fraction 1/9 = .111... fraction 2/9 = .222... we can see a pattern can .999... be expressed as a fraction? I said 9/9. A real smart math person at my work says yes, but he has no social skills. A real geek! He said that is one answer and went back to his work. I Heart Vi Hart |
| February 2nd, 2012 at 11:46:06 AM permalink | |
| DJTeddyBear Member since: Nov 2, 2009 Threads: 105 Posts: 5727 | My feelings are that if some wise ass is gonna ask, then the answer is "Nine ninths." Otherwise, it's "One". Superstitions are silly, childish, irrational rituals, born out of fear of the unknown.
But how much does it cost to knock on wood? |
| February 2nd, 2012 at 1:03:57 PM permalink | |
| 7craps Member since: Jan 23, 2010 Threads: 10 Posts: 332 | He is right. There are many fractions that can express .999... as a fraction. My favorite: 1/1 or is it 4/4? Life in the Key of F#...a.crap=(gambling) - (math) b.math=(crap) / (gambling) c.gambling=(crap) / (math) |
| February 2nd, 2012 at 2:27:39 PM permalink | |
| Ibeatyouraces Member since: Jan 12, 2010 Threads: 18 Posts: 919 | I thought .999 = 999/1000. "Shut up Meg."
Peter Griffin, Family Guy |
| February 2nd, 2012 at 2:29:27 PM permalink | |
| YoDiceRoll11 Member since: Jan 9, 2012 Threads: 7 Posts: 529 |
You are correct. The above people are smoking crack. |
| February 2nd, 2012 at 2:31:13 PM permalink | |
| DJTeddyBear Member since: Nov 2, 2009 Threads: 105 Posts: 5727 | You're right. You'll note the three dots in the original post:
What is implied is 0.9999999999999999999999999999999999999999999 . . . . I.E. A repeating decimal By the way, Wikipedia has an entire article on .999 http://en.wikipedia.org/wiki/0.999… Superstitions are silly, childish, irrational rituals, born out of fear of the unknown.
But how much does it cost to knock on wood? |
| February 2nd, 2012 at 2:32:27 PM permalink | |
| YoDiceRoll11 Member since: Jan 9, 2012 Threads: 7 Posts: 529 | It doesn't matter. You can't just take an infinite repeater and imply that it equals a whole integer. Put the pipe down. ;) And cute little proofs whereby you get to a whole integer by the process of transition or removal is just as ridiculous. |
| February 2nd, 2012 at 2:37:43 PM permalink | |
| cclub79 Member since: Dec 16, 2009 Threads: 26 Posts: 939 |
We were taught (by assuredly non-pipe smoking Algebra profs) that indeed .9999 (with a bar over it) was = 1. I remember half the class did have a big problem with it. It didn't bother me either way, though I was intrigued by the argument "There is no number between the two, so they are the same number" |
| February 2nd, 2012 at 2:45:06 PM permalink | |
| Ibeatyouraces Member since: Jan 12, 2010 Threads: 18 Posts: 919 | On the flip side, how close can you get to zero without the number actually being zero? "Shut up Meg."
Peter Griffin, Family Guy |
| February 2nd, 2012 at 2:50:55 PM permalink | |
| YoDiceRoll11 Member since: Jan 9, 2012 Threads: 7 Posts: 529 |
The problem with this, is that there is a number between the two, an infinitely smaller and smaller exponentially decreasing number. There is ALWAYS a number between .999999... and 1. And there always will be. |
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