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Topic: 0.999....(recurring) exactly equals 1
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0.999....(recurring) exactly equals 1 by Anonymous Coward
Date: 23/11/2014 Time: 22:17:50
1/9=0.111.....

9*(1/9)=0.999....=1

QED

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0.999....(recurring) exactly equals 1 by Inchbrook
Posts by this user 34
Date: 24/11/2014 Time: 11:48:56

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Not so!

.999 recurring 1, therefore does not equal 1.

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0.999....(recurring) exactly equals 1 by Inchbrook
Posts by this user 34
Date: 24/11/2014 Time: 12:23:13

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This should have read

.999 1 [is less than 1]....

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0.999....(recurring) exactly equals 1 by Anonymous Coward
Date: 24/11/2014 Time: 12:37:17
I don't know what you mean.

0.9 recurring, ie 0.999999999999999999999999...to an infinite number of 9s.

It equals 1.

What are you trying to say?

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0.999....(recurring) exactly equals 1 by Cliff Pilchard
Posts by this user 40
Date: 24/11/2014 Time: 16:30:16

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9*(1/9)=0.999.... No it does't !

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0.999....(recurring) exactly equals 1 by Anonymous Coward
Date: 24/11/2014 Time: 17:49:35
what I mean, Cliff, is that

9*0.111..... can be written as 0.99999999999999......etc

which is 1.

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0.999....(recurring) exactly equals 1 by Inchbrook
Posts by this user 34
Date: 24/11/2014 Time: 18:49:37

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It's *nearly* the same, but it's not 'exactly the same'. It's like saying 9 is exactly the same as 10, which it patently isn't!

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0.999....(recurring) exactly equals 1 by Anonymous Coward
Date: 24/11/2014 Time: 18:57:23
so if you take 0.999.... away from 1, what do you get?

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0.999....(recurring) exactly equals 1 by Anonymous Coward
Date: 24/11/2014 Time: 19:02:20
and it's an infinite number of 9s....I should have been more clear in the OP.

If 0.999... and 1 are different numbers then one minus the other should give you the difference....and what is that difference?

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0.999....(recurring) exactly equals 1 by Cliff Pilchard
Posts by this user 40
Date: 24/11/2014 Time: 22:20:18

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Quotation:
9*0.111..... can be written as 0.99999999999999......etc

which is 1


No it isn't.

9x0.1111111...inf = 0.999999...inf which is less than 1

the difference is 0.00000...with an infinite number of zeros followed by a 1 - which is impossible because there is no end to the line of zeros as they are infinite. But wherever that line ends that is the 1 that makes the answer smaller than 1.

Its the same reason you want your penny change when you spend £19.99 £19.99 isn't £20.00

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0.999....(recurring) exactly equals 1 by Anonymous Coward
Date: 24/11/2014 Time: 23:01:40
so if an infinite number of zeros 'ending' in a 1 is impossible, all you have is an infinite number of zeros surely?

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0.999....(recurring) exactly equals 1 by Mud
Posts by this user 125
Date: 24/11/2014 Time: 23:27:23

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dunno why I'm posting as anon..

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0.999....(recurring) exactly equals 1 by Cliff Pilchard
Posts by this user 40
Date: 25/11/2014 Time: 09:24:58

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|That's correct - bit like the universe - you keep going up and up and where do you end up ? There is no end you just keep going. If there is a big brick wall at the end of your infinite distance journey there is another side to that wall you break through and you just keep on going, on and on - impossible ! (or is it ? )

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0.999....(recurring) exactly equals 1 by Mud
Posts by this user 125
Date: 25/11/2014 Time: 09:33:47

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well, I think the Universe might be a hypersphere, so if you keep going up, you'll end up back where you started.

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0.999....(recurring) exactly equals 1 by Cliff Pilchard
Posts by this user 40
Date: 25/11/2014 Time: 12:37:16

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Mud - What's outside a hypersphere, if it is somewhere there must be somewhere else ?

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