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If 3 is odd and 30 is even Is .30 even or odd? And why?
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If 3 is odd
and 30 is even

Is .30 even or odd? And why?
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>>7724899
I could not help but notice your gif was not optimized anon.
I have optimized your gif.
Your gif is now optimized.
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Neither. Even/odd classification is reserved for integers.
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>>7724910
Integers are a social construct. If .30 feels like an integer, you'll have to respect this. Maybe it is an integer born into the body of a decimal.
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>>7724913

topkek
>>
It's even.

any single digit multiplied by an even number is even

therefore any single digit divided by an even number is also even

3x10 = 30 even
3= odd
3/10 = 0.3 even
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>>7724910
>even/odd functions
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>>7724924
>numbers are functions hurr durr
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>>7724920
> any single digit divided by an even number is also even
6/2=3 m8
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>>7724924
Point made... but that's also a completely different use of the words which doesn't really apply to the OP.
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>>7724952
escept that one obviosuly
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There is a Wikipedia article on whether or not zero counts as an even number and it's stupidly long: https://en.wikipedia.org/wiki/Parity_of_zero
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>>7724899
We need rigorous definitions. Let [math]A[/math] be a ring. We say [math]x\in A[/math] is divisible by [math]y[/math] if there exists [math]z\in A[/math] such that [math]yz=x[/math]. Moreover, [math]x[/math] is even if it is divisible by 2.

The thing to note is that divisibility is not an interesting notion in a field, in that all nonzero elements divide each other. So in this sense, yes 0.30 is even. But that's not a useful question to ask of non-integers.
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>>7724952
Divided by two nigger.
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>>7724924
>implying constants functions have evenness or oddness
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>>7725053

Why the fuck wouldn't it be? That's so dumb, Jesus Christ.
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>>7724913
#fractionlivesmatter
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>>7725868
every function that equals a constant is odd.
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>>7726101
***EVEN***

fuck me I'm too drunk goodnight sci
>>
holy shit is sci retarded?

any n mod 2 = 0 means n is even
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>>7724907
wanna hang out? you seem chill
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>>7724899
30 is even because for the equation that defines even numbers:
x = 2k where k is an integer
We can find a suitable and unique k so that
30 = 2k
Obviously, k=15.

3 is odd because there is no k so that
2k = 3
Remember that k belongs to the integers.
So for .30 you need to find a k so that
2k = 0.30 but there is no such k.

Is it odd? There is also no k for
2k + 1 = 0,30

In other words, your question does not make sense.
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>>7724899
0.30 is not odd or even, because only natural number and be even or odd.
0.30 is a rational number.
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>>7724913
Ok, you can play the game that way. But if you're going to call 0.30 an integer, you must define what is "odd" or "even".
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>>7726168
>because only natural number and be even or odd
because only natural numbers can be even or odd
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>>7726172
And make sure the new definition of what is odd or even extends the old one.
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