On Slashdork: Slashdot News Story | Proving 0.999... Is Equal To 1
Is that a hoax or what? Do you see the "extra something" in the proof?
Is that a hoax or what? Do you see the "extra something" in the proof?
Proof that 0.999 = 1
- Thread starter vishalrao
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Er..I dont get it, isnt 9.999... - 0.999.. supposed to be equal to 9?Desecrator said:
How come its 8.9999999xxxxxxx9991 ? :S
Proof that 1 equals 2:-
a = b
a^2 = a*b
a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)
(a+b) = b
a+a = a
2a = a
2 = 1
Obviously, its mathematically wrong because at one point you are dividing each side of the equation by 0. But still fun. xD
a = b
a^2 = a*b
a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)
(a+b) = b
a+a = a
2a = a
2 = 1
Obviously, its mathematically wrong because at one point you are dividing each side of the equation by 0. But still fun. xD
*facepalm*Desecrator said:
That is okay, but IINM
9.9-0.9 = 9
9.99-0.99 = 9
Continue the decimals to infinity, still 9
Mephistopheles said:
OK so who is denying that? Would you mind reading that logic given in the first post before you continue?
a = 0.99, multiply both sides by ten yielding 10a = 9.9. Then, subtracting a (which is 0.99) from both sides we get 10a - a = 9.9 - 0.99, which reduces to 9a = 8.91 and thus a ! = 1.
Do you still not get it? About time you revisit the school then. EOD.
Ok, I get it now :ashamed: [If that indeed was the flaw]
But isn't 0.99...= 0.999... I mean I can always write 0.99.. as 0.999... (IINM it makes no difference)
So by that, 9a = 9.9.. - 0.99..
a = 9
EOD? Such arrogance in people these days..sigh!
But isn't 0.99...= 0.999... I mean I can always write 0.99.. as 0.999... (IINM it makes no difference)
So by that, 9a = 9.9.. - 0.99..
a = 9
EOD? Such arrogance in people these days..sigh!
Mephistopheles said:
It does make a lot of difference cause the person has to prove .999 is equal to 1 without rounding off anything
0.99 != 0.999 != 0.9999 != 0.9999....
If you want to round off 0.999 can be easily equal to 1
Example :-
Say your Long lost Uncle
has 1 billion dollars and you are getting 1 billion - 0.99 X 1 billion = 1,000,000,000 - 990000000 = 10000000
Say someone says lets give the guy with multiplication by 0.999 since he thinks 0.99 = 0.999
1billion - 0.999 x 1 billion = 1,000,000,000 - 999000000 dollars = 1000000
So in the end you lose $10000000 - $1000000 = $ 9000000
Thats 9 million dollar lose
Im not saying 0.99 = 0.999
Talking about 0.99 bar = 0.999 bar
BTW im happy with losing 9 million if I have ~1bil
Talking about 0.99 bar = 0.999 bar
BTW im happy with losing 9 million if I have ~1bil
You can. Probably in high school math it may not make a difference. But it would in reality. Consider precision machining industries where every μm matters. Take a simple case, a vernier calliper or a screw gauge - it gives a more accurate reading compared to a 3 Rs. ruler. An added decimal definitely has a value.Mephistopheles said:
Processor's manufacturing technology goes in scales of nm (1 nm = 0.000000001 m) . The new slim Sony PS3's Cell/RSX underwent a change in the manufacturing process from 90nm (both from the first gen.) to 40nm and 45nm (RSX and Cell resp.) -this reduced the power consumption and the YLOD cases of the device drastically. Is there a difference between 0.00000009 and 0.000000045? Not much because you can approximate it to 0 just as you could approximate the above figure. But would it matter here? Definitely.
That is okay, but Im not talking about rounding off 0.999 to 0.99, talking about 0.99..to infinity = 0.999..to infinity (Correct me if Im still wrong)Desecrator said:
@Mephistopheles 0.99...... = 0.999... Fine but why r u trying to prove 0.999 = 1
0.999 != 1
0.999.... != 1
And can never be equal no matter what.... period
PS : Read my example again u r not getting 1 billion.. your share was 1b x (1 - 0.99)
0.999 != 1
0.999.... != 1
And can never be equal no matter what.... period
PS : Read my example again u r not getting 1 billion.. your share was 1b x (1 - 0.99)
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