Shared publicly  - 
 
"Is zero an even number?" An odd question to arise from Superstorm Sandy.
149
38
Andrew Hop's profile photoRiyasad Iqbal's profile photoEric Konigferander's profile photoHarper Hults's profile photo
148 comments
 
no..it is not part of even numbers for sure they are 2, 4, 6, 8,.......
 
Give James Grime and Brady Haran (curators of Numberphile - they've already tackled "Is 1 prime?") a call... :)

They've already tackled other properties of zero: Problems with Zero - Numberphile
 
mudah-mudahan g nyampe indonesia deh,ngeri bgt y kl Tuhan udh mrh
Translate
 
it feels like an even number just as I feel that one is an odd number. I suppose it has to do with the maleness and femaleness of numbers.
 
Yes, it is part of the even number system.  As in 10, 20, 30, etc.  Unfortunately, your question arises from what what you were left after Sandy?  In this case zero is not even or fair, and our government is taking their sweet time to make things right for all of you that were affected by Sandy.  My prayers are with all of you.
 
"For mathematicians the answer is easy: zero is an even number."

Bollocks again, BBC, An even number is a number that is wholly divisible by two. A child knows this.

You cannot wholly divide 0 by 2.

Idiotic.

Sensible people would point out that in the case of a zero you would step to the second number, in which case the two numbers are going to be divisible by ten and hence two.

Perhaps this is where the dipshittery has sneaked in?
 
Like a number can be beither prime nor composite, zero is neither even nor odd.
 
A number ending on zero is of course even,
but zero itself is not counted as a number, I think.
Division by zero might be a problem to define.
 
Assuming "n" is a member of the set of integers,

All even numbers can be represented by (2 x n)

All odd numbers can be represented by ((2 x n) + 1)

Zero can only be a part of the even numbers.
 
Zero is even... it lies between two odd nmbrs, as other even numbers lie between two odd numbers...
 
Ken Sharp, this has long been a voice of discussion in the mathematicians world dating back centuries.  

You CAN divide 0 by 2 thus getting a negative number.

Idiotic.

Perhaps you should do some investigation into your replies before you call names and label their answers with dipshittery?  

Her question was theoretical in that she had lost so much.  
 
Zero by itself can, as pointed out in the article, be argued as being not even a number, but any larger number ending in zero is, per definition, even.

+Tina Marion The article has little to do with the aftermath of Sandy, and more with people's understanding of whether zero is an odd or even number, questioning why Mayor Bloomberg specifically mentioned zero along with even numbers, and how people reacted to it:
"So Bloomberg had every reason to spell out to New Yorkers in black and white that he was lumping zero along with the (other) even numbers."
 
+Ken Sharp , +Tina Marion Zero divided by two is zero, isn't it? I thought so and then I checked with my calculator, which gave me zero as the answer. That should mean that zero is even.
 
its neither... even or uneven. it has no value yet it gives value to other numbers it is the visual representation of pi...

it's my favourite number
 
Zero is a number. It is a symbol used to represent value or quantity, just like every other number.   Zero is even.  As the article states the test for evenness is to divide by two and see if you get a whole number result.  If you get a whole number result the number is even, if you get a fractional result the number is odd. 0/2=0 therefore zero is even. 
 
肯定是偶数了,能被2整除
 
+Ben Norwood I'm sure it says something terrible about me that this only reminds me of Numberwang... and in fact confuses me almost as much.
 
Of course zero is even. Who does not know this? What a stupid article. It boggles my mind that some person at the BBC spent probably the better part of a week preparing and writing this drivel.
 
+Jason Keirstead & +Thomas Andresen don't go all elite on this... as far as common sense goes it is even... but it has no actual value...

So... it is a discussion... 1 is uneven and has an exact value... 2 is even and has a exact value...

but... zero has no value unless it s behind a one... it is ten... which is even... but one is a uneven number. two is even and behind the two the zero becomes twenty and is also even... it is before a uneven number... so by logic it should be even...

behind a three it become thirty and becomes uneven when divided by a even number...

Yet! it has nu value it is still zero...

it is still up for discussion... So like my previous remark i believe it to be neither... and both
 
oh +Jason Keirstead this poor person probably checked with each of the lager-sodden drinking pals, and even though they bear university degrees, either did know the answer, or were given to enough back-and-forth that it seemed like a clever little ditty.

one must recall that a great number of "editors" are overworked, and very possibly younger than their corral of writers. maybe the author bullied the editor into accepting? perhaps it is the result of a wager, or a dare?

i'm certain there is a whole backstory we shall never know that is far more interesting than this little article.
 
+Thomas Andresen cool... i won't but if i wanted the opinion of the article...i would have read it... again...

So please be less vague!
 
If zero is a number, then it must be a prime number too.
I do not agree on thet.
 
Zero isn't just an even number, it is probably the most even number. It fits all the definitions of an even number like having odd numbers either side and being divisible by two, it is also divisible by every power of two.
Take any of the rules used to define even numbers and zero works perfectly.
 
sigh... this bores me now... think for yourselves!

/bye
 
wow. this is almost as sad as the idiots arguing that Ian Fleming's notion of Bond is Gospel, and any changes are criminal...as if all of the films have adhered perfectly with what Fleming wrote...

it's all just mental masturbation.
 
+Ulf Gerhard Bäckström For one, the definition only includes whole numbers from one and up, and for another zero has, in theory, an infinite number of positive divisors. Zero divided by any number equals zero, that's the rules, and in maths, that's enough.
 
Zero is even; this follows directly from the definition of what even numbers are.
Mathematicians define even numbers to be those numbers which are an integer multiple of two - 2 is one multiple of 2, 4 is two multiples of 2, 50 is twenty-five multiples of 2, and so on.

However we need a second definition to establish what we mean by an integer. One such definition might be to say that 1 and -1 are both integers and adding two integers together gives me another integer. Therefore 5 is an integer because it is 1+1+1+1+1 and -3 is an integer because it is (-1)+(-1)+(-1).

With this definition we must have that zero is an integer since it is the sum of integers 1 and -1. And if zero is an integer then zero must be even since it is zero multiples of two!

It is then no surprise that zero shares all of the same properties that even numbers have; it can't fail to have these properties by the very definition of 'evenness'.
 
+Rachelle Greene If it's that sad why get involved? Seriously have you nothing better to do than troll maths discussions?
 
i muted this stupid thread, but it will not go away.

i do not want to block BBC, because i do not trust american news, and i generally find these stories interesting.

did you not notice the screaming message, where i complained that this will not leave me alone?

i am not a troll, not by any measure of the word, i don't even like goat meat when it is cooked by Mexican grill masters...if you would stop using my name, it might leave me alone, and you will be spared my shrill voice.
 
+Rachelle Greene You should get your goat curried by Jamaicans it's much nicer. 

BBC news, wise choice, American news is all corporate.
 
People need to stop being so cynical all the time. Standard internet manners are worse than you would expect any troubled teenager to behave. There are so much more important things than arguing and making enemies.
 
+Jason Keirstead I should think that the amount of discussion on this thread alone proves that it was a valid subject for the BBC article.
 
Zero, along with infinite and infinitesimal are more of a mathematical philosophical concept than numbers in their own right
 
Zero is an even number. Those that disagree are blatant idiots.
 
0 is certainly an even number, by definition. any number that can be written as 2k, where k is an integer is even, and any number that can be wrtten as 2k + 1 where k is an integer is odd
 
My $.02- 0 is a representation of absense of number. Just like infinity is a representation of large number. Greeks got it right.
+Thomas Andresen also pin pointed its applicability to this situation. no number plate has pure 0 in it. It has a large number ending in 0, which will be even.
+Mike Bloomberg wanted to include math illiterate so he made it ultra unambiguous
+Rachelle Greene you may have to refresh the page. I always mute after commenting to avoid spam
 
Mathematically, the answer is clearly yes.  Any number that is 0 mod 2 is even.  Politically, well that's a different question altogether.
 
zero is a place holder...something (a value) could be there, but it's not there right now.
 
It depends on how anal you want to be. A even number is defined to be any number of the form 2n, where n is an integer. Therefore, if you define 0 to be an integer, then 0 = 2 times 0 and hence 0 is even. The question then becomes: is 0 an integer? Questions like these are more matters of convention. Mathematicians will define 0 to be an integer because it is convenient. If you wanted to you could define it not to be, and it might still be logically consistent, but it would be a lot less convenient. 
 
No...its right between -1 and +1 on the indefinite number line...I remember that from introductory algebra
 
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
 
Reading these comments reminds me of a discussion I once had with an in-law. She told me that 0+1 does not make sense because "you can't add something to nothing". But she was perfectly fine with 1+0, because there is something to "start with", namely the 1. To ask whether a number is even, you must be willing to accept the conventions that mathematicians have devoloped over the years. An integer is any whole numbe, its opposite, or zero, so ...-3, -2, -1, 0, 1, 2, 3.... An integer N is even if N=2k for some integer k. Since 0=2×0, the integer is, by definition, even. Indeed, the even numbers include -4, -2, 0, 2, 4, 6......

One beautiful property of even numbers is that every other integer is even, going right or left on the number line. If 0 is not included, then this property also fails.
 
Based on this definition: "Zero is a visual representation of the absence of value." I would say that no, zero is not an even number and it's also not an odd number.  It has no value. Mathematicians may disagree, if so, I'd love to have a source to their proofs.
 
Zero is the first "Even" number and falls in all even numbers from that point forward. (Or backwards if you deal in negatives).
 
People that aren't zeros give a shit! :-) 
 
+Brian Tomlinson , if zero represents the absence of value, then what meaning to you assign to -1?  I have many sources that back up "0 is an integer" (which, with the observation that 0 = 2 * 0 is a proof that 0 is even), including all algebra textbooks.  For example, http://www.jamesbrennan.org/algebra/.  This is not philosophy, here.
 
+Shaun Ault - That's the definition of zero that I was taught all through school, from Elementary to College, from Arithmetic to Pre-Calculus.  I'm not disputing that there are more advanced definitions, in fact, I'd love to see them.  I wasn't making a philosophical argument, I was presenting what I understand based on what I was taught.

Thank you for providing the link, I'm reading it now.  
 
Dr. WHO can tell you. But he is busy somewhere else in the universe at the moment.
 
+Adrian Sebelius Skotnes If you take a number x and add or subtract 0, then you end up with x.  That makes it the "additively neutral" element of our number system.  However you do not get x if you multiply or divide by 0.  Indeed, x * 0 = 0, and x/0 is undefined.  On the other hand you suggest replacing 0 by any other number causes you to end up with a different result.  But x * 1 = x and x / 1 = x  (that is, 1 is the "multiplicatively neutral" element).  By this argument, we could say that "1" is really "nothing" as well.  Zero is an integer by definition, but what may be the most common misunderstanding is that 0 is taught as the absence of any quantity, and therefore, it seems to be regarded as something utterly alien and non-numerical.
 
+Adrian Sebelius Skotnes Now we're getting somewhere.  We definitely agree that 1, 2, 3, etc. are numbers, because these are the labels we place on objects to indicate "how many".  I have 0 elephants, and since I can place a label on the number of elephants I have, that label is considered a number!  Zero is the number that represents lack of quantity.  It is much different, and incorrect, to infer from this that zero is somehow not a number.
 
it dosnt matter in this context, becuase the plates end in more than one digit- xx10, xx20 etc, 10 and 20 are even, dosnt matter if 0 is or isnt.
 
Ya hamer in every country 0 is different :)

In USA = 0 mean they dumb and idiots
In my country 0 = 5 which odd number
So other country not sure :)

That answer you idiots 
 
This whole discussion is absolutely hilarious!
 
is zero an even number? That's a real question..... Like wise is -2 an even number?
 
Before you ask the question, pls do some research. This is not supposed to be even a question if you hv attended school. You don't feel if zero is a number at all or is an even number or not; you define what they are and logically deduce facts about them!
 
Same with noon & midnight. They're neither a.m. or p.m. as they are the 'zeros' of those times. Impossible to be ante(before) & post (after) the meridian when they are the meridian. Therefore 11.59:59 a.m. -> noon -> 11.59:59p.m. -> midnight. No such time as 12a.m/p.m. Noon. Midnight. Simple.
 
+John Hyde What about "Military Time"? They refer to 0 Hundred hours and 12 hundred hours.
 
Just add zero to any number n it will be even for me only 
 
Very interesting topic. It seems that people in general don't think that it is obvious that zero is an even number.
 
Programmers use the 0 in their programs. For them it is more than just "nothing".

btw I think the 0 divided by a number is infinite. But that's just a personal view. ;)
 
I do. Just look at how perfectly round it is. All of the sides are the exact same distance from each other.
 
+James Pearson and everyone else who isn't quite sure, can I humbly refer you to my earlier post, not the one about goat curry.

Also this popped up on my Youtube subscriptions just a few minutes ago:-

Is Zero Even? - Numberphile
 
It is the end of plus

It is the end of minus
 
Please, all you "it's nothing so it can't be even, it's probably not even a number" people -- read the comments above (most of which are already the stupidity you were going to post, and some of which explain why you are wrong) before you post one of your own!

Thank you.
 
+Alfons Scholing Since you have clearly accepted Wikipedia as a source, I'll point you this way: http://en.wikipedia.org/wiki/Zero#As_a_number

I'll even quote the relevant bits for you:
"Zero is an even number, because it is divisible by 2. 0 is neither positive nor negative. By most definitions 0 is a natural number, and then the only natural number not to be positive."

It's starting to get muddy now. Even among mathematicians it's disputed whether zero is a natural number, but what isn't disputed is that it is an even number. A number doesn't have to be natural to still be a number.
 
Question was worded incorrectly. Should have said "is zero EVEN a number?"
 
No zero is not even since it doesn't gives any value when divided by it 
 
Zero is an even number because it is exactly divisible by 2.
 
All of this good discussion and no one seems to have guessed the obvious truth. Zero is nothing.
 
ask the Indians...they invented it...
Buzz Wu
+
1
2
1
 
Zero is my hero today
 
I'm not a math expert but in my opinion zero is nil or nothing thus zero is neither even nor odd number.

 
It is a matter not of opinions but of definition and fact. And yes, Zero is even, not odd, since there is no leftover when divided by two. For the same reason it belongs to multiples of every other integer as well. Multiples of any integer form a set identical to that of integers due to a one to one correspondence, in spite of being a smaller part of integers, and have the same structure mathematically.
 
"If zero is a number, then it must be a prime number too." That is as silly as this discussion has got, apart from the assertions that if it is a number it ought to be possible to divide by it. Nonsense, both, as are the various statements about zero being not a number.

Zero is a number, as is any number representing the value of a point on a straight line being measured from any point of choice with any measure of choice. It is unique in many ways amongst numbers in that it does not provide a unique quotient if you divide any number by it, but is a multiple of every number you can think of.

Prime numbers can only be positive integers, however. By definition. But every number divides zero, so it cannot be prime if anyone wishes to extend the definition, which is not admissible in mathematics as far as I know, and for good reason.
 
Whether or not you agree 0 is a number, it made sense that mayor bloomberg lumped it with the evens- that way its even- two groups of five symbols (ie. 13579 ; 02468)
 
There is no "lumped it" with even numbers, it is a number, and is a multiple of every possible number you can think of including 2. Does not divide anything and is not a prime. Again, not a matter of individual opinions. This is not about a kindergarten kid's drawing.
 
Well, +Richard Arnold, did you read the whole discussion? And if you did, will you honestly claim that it was uplifting to read a hundred repetitions of "Zero is nothing, so it can't be a number!"*?!?*

There's nothing to be "light-hearted" about here. Just because someone asks a stupid question, there's no need for a million people to post a  million even more stupid answers.

That's a waste of precious non-renewable electrons.
 
Think without 0 you would not be writting about it here.
 
I am the culprit of saying "then zero is a prime number".
I had a feeling it was to hasty to say so, but it doesn't sound
so good to say it is composite either.
I have no problem with the definition of prime numbers,
that was not the point. ZERO is a very special number and
I think it should be handled with care!
 
+Christian Conrad Just to be a nitpick, there is no point in calling electrons "non-renewable", as electrons aren't actually "spent". Electricity is, to over-simplify, electrons moving from one atom to another. They don't ever disappear.

+Ulf Gerhard Bäckström Zero is neither a prime number nor a composite number, as both are, by definition, only positive natural numbers. The perhaps most unique thing about zero is that it's the only natural number not to be positive.
 
The number system we use is base 10 not base 9. If we taught our children to start counting from zero we wouldn't be having this discussion. 
 
+Ulf Gerhard Bäckström "ZERO is a very special number and I think it should be handled with care!"

Haha, zero looks like an egg. Eventually it breaks easily. so, handle with care. ;o)
 
Yeah it is..alone its just a zero..but with a number it increases its value.. :)
 
Yes it is if you are thinking outside the box. 0 = infinite no beginning and no end. It is the link between the end of or beginning of something new. Think about ancient calendar with months and years.. See what you will discover.
 
This discussion makes me sad for the future.

Yes, zero is a number.  A whole number.  An integer.  (Not a natural number, and therefore can't be prime or composite.) And even.

Please stop with the nonsense.
 
Zero is the absence of value. It is not an even number, an odd number, a prime number, or a whole number. It is only an integer with no value. 
 
What's perhaps most fantastic is that the article that this post we're all commenting on was about was how funny it is that some people don't realise zero is an even number... sigh
 
"It is not an even number, an odd number, a prime number, or a whole number. It is only an integer with no value. " Incorrect in toto. Whole numbers are defined as Natural numbers and zero, together; zero is even and is not odd; it is a multiple of every possible number so it is not a prime; and the "no value" being harped on by most people only shows how many people have a blind corner. In mathematics the value of this is immense and much would fall without it, and if it did not exist it would have to be invented as would 1. Zero is what gives a mathematical structure to even numbers that odd numbers lack.
 
"0 = infinite no beginning and no end." That makes no sense. Zero is the point to measure every other quantity from after one has chosen a measure, that is, put down a 1 after setting down a zero on the line. One may identify the two ends, positive and negative infinity, for purposes of mathematics that go beyond this discussion, and beyond most common knowledge of mathematics or numbers, but in no way is it possible to go "0 = infinite no beginning and no end." making any sense.
 
"Can we just agree on that zero acts like some function that represents absence of quantity, using and that it can be applied to numbers for use? " - No, and again, mathematics is not about public agreement, much less so than any other science as a matter of fact. Zero is a number, the beginning of measure, and all measurements can only follow once one has chosen a beginning point zero and a measure for 1; easier way to see the need of zero as a number is your bank account when you withdraw all there is but do not overdraw. Don't need to go into functions or representations, and zero is not applied to numbers for use any more than any other number.
 
Oh, sure, +Adrian Sebelius Skotnes, we could agree that "zero acts like some function that represents absence of quantity, and that it can be applied to numbers for use". IFF -- that is, if and only if -- we also agree that "one acts like some function that represents a unique or single quantity, and that it can be applied to numbers for use", and "two acts like some function that represents a pair or double quantity, and that it can be applied to numbers for use", and so on ad infinitum.

Hmm, feels a bit too awkward to use in daily speech; we should come up with some shorter name for these... Hey, how about we call them numbers?
 
Yeah, +Adrian Sebelius Skotnes, "zero IS the mathematical number that represents absence of quantity", but: So what?!?

One IS just as much the mathematical number that represents singular quantity.So what?!? I called that a "function" because it, too, can just as well be interpreted as one. Again, So what?!?

Only you, +Adrian Sebelius Skotnes, seem to "need to state that officially 0 is a number".[*] The rest of us, who understand that anyway, don't need any such statement at all. Do you "need to state that officially 1 is a number", too? 2? 3? If not, why not?

Whatever you reply: In the real world, the same goes for 0.

___
[*]: Still, at this point. The rest of the idiots seem to have given up.
 
+Dave Mendelon he he - you are at least funny. I have thought about your egg-joke, and have to say that zero is contrary to eggs, when it comes to breaking. It seems to break many laws and definitions, if it is not excluded. It is treated like an outlaw and driving Sheriffs and hot-shots to nuts!
(unless they make it EVEN)
 
What about 0 being nothing...
 
No way Zero is EVEN - That is to say, you have visit a black hole, and coming back to tell how it is! In a paper dicks world maybe! (it's even)
Translate
 
What, +Ulf Gerhard Bäckström, are you saying that proves it isn't an even number?

So does "2/0 = ?" prove that 2 isn't an even number either, or what?

Like I said, back to lågstadiet: Every other number (="vartannat tal") is even, every other is odd: ....-3, -1, 1, 3... are odd; ...-4, -2, 0, 2, 4... are even. If it were only ...-4, -2, 2, 4... there'd be a weird four-numbers-wide gap in the middle; then I could just as well claim that -1 or 1 isn't odd either, for symmetry.

Bah, why am I trying to prove anything to you? It's you who are proposing the idiotic thesis, so it's you who have to prove that. And "0/0 =?" doesn't prove that, because the proof of oddness has nothing to do with "/0" -- it's about "/2", and whether you get any remainder (="rest") after that. 4/2=2, no remainder, so 4 is even. 0/2=0, NO REMAINDER -- SO 0 IS EVEN.

Välkommen till lågstadiet; när du fattat det här får du flytta upp till trean.
 
Zero divided by a number (not zero) is a trivial division, as well as a number divided by 1.
To say  0 / 2 = 0 and therefore an even number sounds trivial to me.
 
Magister +Christian Conrad  (ser att du kan svenska, men det är bäst att hålla sig till engelska här).
In school I learnt to start counting with 1 and then 2 and so on. Cannot remember any teacher telling me to start counting with zero and that zero is an even number, as some persons have said here. Maybe I was not in school that day.
Translate
 
Jojimbo can maybe divide zero in to halfs, if he use "Zan mato"!
0/zanmato = u u . (got it?)
Add a comment...