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Non Diving Posts: Discuss Bit of maths in the Non-Diving Related Forums forums: Trouble with calculators is they are based on computer chips, which are incapable of expressing even a number like 3 ...

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  #21 (permalink)  
Old 25-10-07, 06:58 PM
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Quote:
Originally Posted by Lazlo
Trouble with calculators is they are based on computer chips, which are incapable of expressing even a number like 3 precisely...
Get a mathematician and press his/her buttons You'll be safe 'cos they're gonna be cerebral
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  #22 (permalink)  
Old 25-10-07, 06:58 PM
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Quote:
Originally Posted by David G
Its that Binary thing again isn't it?

There are 10 types of people in the world: Those who understand binary, and those who don't...

David.
Top 11 numbers:

1: 0
10: 1
11: (reserved for future expansion)
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  #23 (permalink)  
Old 25-10-07, 07:06 PM
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Quote:
Originally Posted by mke
Recurring 9s go on for ever.
So 0.9 recurring and 9.9 recurring have the same 'number' of 9s after the decimal point.
So when you subtract, the recurring parts (after the decimal point) cancel each other out leaving the exact value of 9

The argument in the OP is precisely correct, and 0.9 recurring is really exactly equal to 1!

There is an algebraic proof based on geometric series ... a little light reading for a deco stop one day? )

Mike
Yuk! It would be enough for me to know for sure that the OP is indeed correct. Then I can just add it to the infinitely long list of things in the universe that I don't understand
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  #24 (permalink)  
Old 25-10-07, 07:11 PM
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Another view:

0.3 recurring is equal to the fraction 1/3
0.6 recurring is equal to the fraction 2/3
. . .
so 0.9 recurring is equal to the fraction 3/3, and 3/3 = 1
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  #25 (permalink)  
Old 25-10-07, 07:20 PM
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Quote:
Originally Posted by mke
Another view:

0.3 recurring is equal to the fraction 1/3
0.6 recurring is equal to the fraction 2/3
. . .
so 0.9 recurring is equal to the fraction 3/3, and 3/3 = 1
Kind of, but that's just another way of restating the original problem - i.e. does 0.33333 recurring really equal 1/3?
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  #26 (permalink)  
Old 25-10-07, 07:36 PM
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Quote:
Originally Posted by Lazlo
Kind of, but that's just another way of restating the original problem - i.e. does 0.33333 recurring really equal 1/3?
Yes, you are right, it does really re-state the original problem.
And yes, 0.3 recurring *is* equal to 1/3 - try using your original argument on it.
(Actually, any recurring decimal can be converted to a fraction using the same method). And that is quite enough brain work for tonight!
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  #27 (permalink)  
Old 25-10-07, 07:37 PM
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  #28 (permalink)  
Old 25-10-07, 08:10 PM
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Quote:
Originally Posted by Lazlo
Kind of, but that's just another way of restating the original problem - i.e. does 0.33333 recurring really equal 1/3?
Nothing is finite. Nothing works perfectly in our universe because we are limited by our own perceptions.
Consider, how many days in a year? So what to we do ? We add em together to make a a full number to fit in our realm of understanding and bung in February once every 4 years

What you need is Doctor Who
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  #29 (permalink)  
Old 25-10-07, 09:52 PM
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Quote:
Originally Posted by Lazlo
You've missed the "recurring" bit. It's not 0.999 it's 0.999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 999999999999999999999999999.........
bugger. well in that case .. infintity+1 with nobs on :-P
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  #30 (permalink)  
Old 25-10-07, 10:28 PM
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From thinking back to my maths classes,

so how much is one apple and two bannanananans again?
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