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# 0.999 (Repeating) is equal to 1

 Posts: 2,385 Add as FriendChallenge to a DebateSend a Message 1/31/2016 1:57:48 AMPosted: 1 year agoThis blows my mind, here is the proof via algebra:(R means repeating)(1/9)=0.111(R)9x(1/9)=0.111(R)1=0.999(R)Its so interesting how this works, normally I have limited interest in mathematics, but this takes the cake.https://en.wikipedia.org..."Hate begets hate"
 Posts: 1 Add as FriendChallenge to a DebateSend a Message 1/31/2016 4:59:50 PMPosted: 1 year agoHere's another way to understand 0.99 (repeating) is equal to 1:1/3=0.33 (repeating)1/3*3=10.33 (repeating)*3=0.99 (repeating)=1There are several other "proofs".
 Posts: 5,993 Add as FriendChallenge to a DebateSend a Message 1/31/2016 8:16:12 PMPosted: 1 year agohttp://www.debate.org...just 1/3 is .3 repeating, the decimal is the real number 1/3.The reason why it is not an easy to see integer is because the ration 1/3 is applied to a base 10 system. In hexadecimal 1/3 is .5 repeating.It's a real number. But it's not a real quantity that is infinitely growing large.It's a common confusion to think a number that expands infinitely is somehow infinite itself. it isn't. It's just one representation of it is with remainder.
 Posts: 3,964 Add as FriendChallenge to a DebateSend a Message 1/31/2016 8:36:42 PMPosted: 1 year agoAt 1/31/2016 1:57:48 AM, Axonly wrote:So 1+1 = 0.999 (R) + 0.999 (R)If this is the case then:So 1+1 = 1.888 (R) ?Because this is the result of 0.999 (R) + 0.999 (R).If they are the same then the result of this equation should be the same."Life calls the tune, we dance." John Galsworthy
 Posts: 5,993 Add as FriendChallenge to a DebateSend a Message 1/31/2016 8:51:00 PMPosted: 1 year agoAt 1/31/2016 8:36:42 PM, famousdebater wrote:At 1/31/2016 1:57:48 AM, Axonly wrote:So 1+1 = 0.999 (R) + 0.999 (R)If this is the case then:So 1+1 = 1.888 (R) ?Because this is the result of 0.999 (R) + 0.999 (R).If they are the same then the result of this equation should be the same.Maybe you should type that into a calculator.If you type in .9999999999999999999999999 add to .9999999999999999999999999You will get 1.99999999999999999999999998That 8 is only because I could not type in .9 repeating. Essentially that 8 would never be present in .9 repeating plus .9 repeating.So .9... plus .9... equals 1.9... which is 1+ .9... which is equivalent to 1+1 which equals 2.Again when we correct for 1.8 error the conjecture holds true .9 repeating equals 1.
 Posts: 3,964 Add as FriendChallenge to a DebateSend a Message 1/31/2016 8:52:00 PMPosted: 1 year agoAt 1/31/2016 8:51:00 PM, Mhykiel wrote:At 1/31/2016 8:36:42 PM, famousdebater wrote:At 1/31/2016 1:57:48 AM, Axonly wrote:So 1+1 = 0.999 (R) + 0.999 (R)If this is the case then:So 1+1 = 1.888 (R) ?Because this is the result of 0.999 (R) + 0.999 (R).If they are the same then the result of this equation should be the same.Maybe you should type that into a calculator.If you type in .9999999999999999999999999 add to .9999999999999999999999999You will get 1.99999999999999999999999998That 8 is only because I could not type in .9 repeating. Essentially that 8 would never be present in .9 repeating plus .9 repeating.So .9... plus .9... equals 1.9... which is 1+ .9... which is equivalent to 1+1 which equals 2.Again when we correct for 1.8 error the conjecture holds true .9 repeating equals 1.So irl if you were asked 1+1 you would answer 1.9999 (R)?"Life calls the tune, we dance." John Galsworthy
 Posts: 5,993 Add as FriendChallenge to a DebateSend a Message 1/31/2016 8:59:26 PMPosted: 1 year agoAt 1/31/2016 8:52:00 PM, famousdebater wrote:At 1/31/2016 8:51:00 PM, Mhykiel wrote:At 1/31/2016 8:36:42 PM, famousdebater wrote:At 1/31/2016 1:57:48 AM, Axonly wrote:So 1+1 = 0.999 (R) + 0.999 (R)If this is the case then:So 1+1 = 1.888 (R) ?Because this is the result of 0.999 (R) + 0.999 (R).If they are the same then the result of this equation should be the same.Maybe you should type that into a calculator.If you type in .9999999999999999999999999 add to .9999999999999999999999999You will get 1.99999999999999999999999998That 8 is only because I could not type in .9 repeating. Essentially that 8 would never be present in .9 repeating plus .9 repeating.So .9... plus .9... equals 1.9... which is 1+ .9... which is equivalent to 1+1 which equals 2.Again when we correct for 1.8 error the conjecture holds true .9 repeating equals 1.So irl if you were asked 1+1 you would answer 1.9999 (R)?Please refer to my previous debate on this subject http://www.debate.org...I would reply with 2. But I also would not state 2 is the only way to answer it.Do you understand that 4 = 2^2= (2+2) = W30;16 = (1+3) = 4/1 = (4/2+4/2) = ect...There are more then one way to answer and yet the answers be the same quantity.what is 1/3 plus 2/3? If you keep them as fractions you have 3/3 which simplifies to 1.But if you do the division which is the fraction sign you get .99 repeating.Again 1 and .999 is equal. 2 different ways of saying the same thing.
 Posts: 4,343 Add as FriendChallenge to a DebateSend a Message 1/31/2016 9:12:26 PMPosted: 1 year agoDidn't see this before I made my OP...
 Posts: 13,069 Add as FriendChallenge to a DebateSend a Message 1/31/2016 11:02:56 PMPosted: 1 year agoAt 1/31/2016 1:57:48 AM, Axonly wrote:This blows my mind, here is the proof via algebra:(R means repeating)(1/9)=0.111(R)9x(1/9)=0.111(R)1=0.999(R)Its so interesting how this works, normally I have limited interest in mathematics, but this takes the cake.https://en.wikipedia.org...The problem with this proof is that it takes for granted that which it attempts to justify. If .111 is actually equal to 1/9, rather than a mere approximation of it, then yes, .999 = 1. But that's kind of a lot to assume, since it's the exact question at issue. It's just the assumption restated in a different way, namely that you can assert the equivalence of two things by defining their difference to be so small as to be unspecifiable in precise mathematical terms."In case anyone hasn't noticed it, the West is in extremis. The undertaker is checking his watch at the foot of its bed, and there's a sinister kettle of croaking, money-feathered vultures on the roof."
 Posts: 5,650 Add as FriendChallenge to a DebateSend a Message 1/31/2016 11:43:51 PMPosted: 1 year agoYeah, that's not really a very good proof. The better one that tends to be more convincing is:.999... = .999...x1010(.999...) = 9.999...-.999...9(.999...)=9/9.999...=1Stooge the Worst #UnbanTheMadman #StandWithBossy #BetOnThett "bossy r u like 85 years old and have lost ur mind" ~mysteriouscrystals "I've honestly never seen seventh post anything that wasn't completely idiotic in a trying-to-be-funny way." ~F-16 "SeventhProfessor is actually a surprisingly good poster." ~Devilry https://docs.google.com...