is 0 even or odd?

flaming_ninja

<!NULL>
Aug 25, 2009
83
0
0
0.9*recurring is not equal to 1 because no matter how infinitesimally small the difference is, the difference exists.

And 0 is a number and a digit and an integer (ask any programmer) and it IS even.
 

flaming_ninja

<!NULL>
Aug 25, 2009
83
0
0
Oh and all the divide by zero jokes can fuck off, everyone has so far been talking about dividing zero by other values, which is still possible just highly pointless.

I.E 0/x = 0 EVERY TIME
 

4li3n

New member
Jan 3, 2009
138
0
0
flaming_ninja said:
0.9*recurring is not equal to 1 because no matter how infinitesimally small the difference is, the difference exists.
Except that it would take you infinity to get to the difference... and thus the difference would never appear.

Unlike Achilles and the Turtle the proof isn't actually disproved by anything in the physical world (and thus not a paradox).
 

flaming_ninja

<!NULL>
Aug 25, 2009
83
0
0
Daniel Holst Hviid said:
just like 0 is neither a possitive number or a negative number, its neither an even or odd number.. even numbers can be devided by 2, and still give a whole number, and you cant devide 0 with anything
Yes you can, but it always equals zero, you cannot do the reverse, which is divide other values by zero, or zero by zero.
 

flaming_ninja

<!NULL>
Aug 25, 2009
83
0
0
4li3n said:
flaming_ninja said:
0.9*recurring is not equal to 1 because no matter how infinitesimally small the difference is, the difference exists.
Except that it would take you infinity to get to the difference... and thus the difference would never appear.

Unlike Achilles and the Turtle the proof isn't actually disproved by anything in the physical world (and thus not a paradox).
Appear, what do you mean appear?
 

4li3n

New member
Jan 3, 2009
138
0
0
flaming_ninja said:
Appear, what do you mean appear?
I mean you'd never get to it, just like infinity.

It would never come into existence.

So while they're two different numbers, their value in the real world would be the same for infinity time... so even if the universe never ends you never get to see any difference.
 

Hagi

New member
Apr 10, 2011
2,741
0
0
flaming_ninja said:
0.9*recurring is not equal to 1 because no matter how infinitesimally small the difference is, the difference exists.
10 * 0.9*recurring = 9.9*recurring. (simply switch the decimal point one place as always when multiplying by ten)
9.9*recurring - 0.9*recurring = 9. (beyond the decimal point these numbers are identical.)
10 * 0.9*recurring - 0.9*recurring = 9 * 0.9*recurring = 9. (10 * a - a = 9 * a. By the definition of multiplication.)
9 * 0.9*recurring = 9 * 1.
0.9*recurring = 1.

No difference at all. Not even an infinitely small one.
 

Slanzinger

New member
Nov 19, 2009
89
0
0
To those saying it isn't an integer... it is.
Zero is just as much a number as one or two. It's infinity that's the "concept rather than a number".
It's even by definition. The true question would be "is it positive or negative", to which the answer *would* be "neither".
 
Jun 11, 2008
5,331
0
0
Hagi said:
flaming_ninja said:
0.9*recurring is not equal to 1 because no matter how infinitesimally small the difference is, the difference exists.
10 * 0.9*recurring = 9.9*recurring. (simply switch the decimal point one place as always when multiplying by ten)
9.9*recurring - 0.9*recurring = 9. (beyond the decimal point these numbers are identical.)
10 * 0.9*recurring - 0.9*recurring = 9 * 0.9*recurring = 9. (10 * a - a = 9 * a. By the definition of multiplication.)
9 * 0.9*recurring = 9 * 1.
0.9*recurring = 1.

No difference at all. Not even an infinitely small one.
I don't see why people always use this proof when proving 0.99... = 1. do people not like sequences and series?
 

flaming_ninja

<!NULL>
Aug 25, 2009
83
0
0
Hagi said:
flaming_ninja said:
0.9*recurring is not equal to 1 because no matter how infinitesimally small the difference is, the difference exists.
10 * 0.9*recurring = 9.9*recurring. (simply switch the decimal point one place as always when multiplying by ten)
9.9*recurring - 0.9*recurring = 9. (beyond the decimal point these numbers are identical.)
10 * 0.9*recurring - 0.9*recurring = 9 * 0.9*recurring = 9. (10 * a - a = 9 * a. By the definition of multiplication.)
9 * 0.9*recurring = 9 * 1.
0.9*recurring = 1.

No difference at all. Not even an infinitely small one.
Beyond the decimal point these numbers are identical 1.2 and 3.2
 

Hagi

New member
Apr 10, 2011
2,741
0
0
Glademaster said:
I don't see why people always use this proof when proving 0.99... = 1. do people not like sequences and series?
Because it works? Unless you wish to argue that f(x)=9x isn't a bijective function or that g(x) =10x-x does not equal f(x)?
 

Hagi

New member
Apr 10, 2011
2,741
0
0
flaming_ninja said:
Beyond the decimal point these numbers are identical 1.2 and 3.2
And since they're equal beyond the decimal point they make a whole number when subtracting the smaller one from the larger one, namely 2.