ANSWERS: 36
  • I always thought is was considered neither because of some junk about it being the origin or absolute or something else...but I'm not an expert. I know I was told that it was either though, I could be wrong.
  • Not sure on the actual answer, but I would have to say it is even by this reasoning: Even numbers are in the form 2n Odd numbers are in the form 2n - 1 So, by plugging in numbers into n, you get either even or odd numbers depending on which formula you used. So for example: Even: 2(1) = 2 Odd: 2(1) - 1 = 1 Now, if we plug in 0 to the even equation we get: Even: 2(0) = 0 If we try it with odd we get: Odd: 2(0) - 1 = -1 Therefore 0 can only be represented by the even equation.
  • Zero is not positive or negative... but it IS EVEN. http://mathforum.org/library/drmath/view/57188.html
  • Zero cannot be considered as an even or an odd number. An even number is an number that is dividable by two. Zero is not dividable by two. So it must be neither.
  • It's neither. Both zero and 1 are what are known as composite numbers. And yes, 0 is divisable by 2. 0/2=0. EDIT: Ok. It's a faulty answer. Quit rating me several months after I posted this.
  • This one makes me smile. Zero is an even number. All whole numbers and positive and negative integers are either ODD or EVEN. Just remeber the number line if you have any doubts. ... -3 -2 -1 0 1 2 3 ... Go back to the rules on odd and even. (3rd grade I think) O= odd and E= even E + E = E O + O = E O + E = O -2 + 2 = 0 -1 + 1 = 0 -1 + 2 = 1 I hope this settles this.
  • The definition of "even" from mathworld.wolfram.com: An even number is an integer of the form , where k is an integer. The even numbers are therefore ..., -4, -2, 0, 2, 4, 6, 8, 10, ... (Sloane's A005843). Since the even numbers are integrally divisible by two, the congruence holds for even n. An even number n for which also holds is called a singly even number, while an even number n for which is called a doubly even number. An integer which is not even is called an odd number. The definition of "zero" from mathworld.wolfram.com: The integer denoted 0 which, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) which is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f." This is from http://mathworld.wolfram.com/CompositeNumber.html, I'd consider them an authority: A composite number n is a positive integer n > 1 which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ...
  • Surely zero is only a representative figure for the absence of an amount, just like black and white are not colours in themselves, merely an absence of colour... In which case, zero is neither even nor odd, as it doesn't exist. Something to think about.
  • http://www.straightdope.com/mailbag/mzeroeven.html An even integer has no remainder when divided by 2. An odd integer can be written in the form 2N + 1 where N is some integer. The exclusion of zero from the even numbers does occur under special circumstances. If you are defining even numbers to mean even NATURAL numbers, not even INTEGERS. The natural numbers are the set of counting numbers {1, 2, 3, . . .} which excludes zero. There may be special other circumstances in which you want to deal with a set called "even" that excludes zero. For instance, Goldbach's conjecture (unproven, I think, to date) is that every even integer greater than 2 can be expressed as the sum of two primes. But that conjecture also excludes 2 from the selected set of "even integers" being considered. If you're at the roulette table, you bet "evens" and the ball lands on 0 or 00, you lose. So that's a non-mathematical, real-life situation where zero is neither odd nor even.
  • I was tought that an even number is one you can divide by 2 and get a number with no decimals - meaning 0 is even. However it is also considered that 0 is the absence of any value/number and is therefore neither even nor odd because it is not an actual number on its own. I believe there will always be a debate as to whether it is even or not, but something I think everyone agrees on is that it is definitely NOT odd! :-)
  • This answer comes from Dr. Hossein Arsham (University of Baltimore): http://home.ubalt.edu/ntsbarsh/Business-stat/opre/ZERO.HTM#revenodd Is Zero an Even or Odd Number? If one defines evenness or oddness on the integers (either positive or all), then zero seems to be taken to be even; and if one only defines evenness and oddness on the natural numbers, then zero seems to be neither. This dilemma is caused by the fact that the concepts of even and oddness predated zero and the negative integers. The problem posed by this question is that zero is not to be really a number not that it is even or odd. Most modern textbooks apply concepts such as "even" only to "natural numbers," in connection with primes and factoring. By "natural numbers" they mean positive integers, not including zero. Those who work in foundations of mathematics, though, consider zero a natural number, and for them the integers are whole numbers. From that point of view, the question whether zero is even just does not arise, except by extension. One may say that zero is neither even nor odd. Because you can pick an even number and divide it in groups, take, e.g., 2, which can be divided in two groups of "1", and 4 can be divided in two groups of "2". But can you divide zero? That's why there are so many "questions." If you feel that the question if zero is an even number is of no practical value at all, let me quote the following news from the German television news program (ZDF) "Heute" on Oct. 1, 1977: Smog alarm in Paris: Only cars with an odd terminating number on the license plate are admitted for driving. Cars with an even digit terminating were not allowed to be driven. There were problems: Is the terminating number 0 an even number? Drivers with such numbers were not fined, because the police did not know the answer. A visitor of this site kindly wrote to me that: "Is zero odd or even? I suggest a convention, i.e. a useful unproved mechanism which makes me feel better, that zero is indeed Even! I offer two arguments: A1: "Odd" numbers are spaced two apart. So are "even" numbers. Proceeding downward, 8,6,4,2,0,-2,-4 .. should all be considered Even. While odd numbers 9,7,5,3,1,-1,-3 ... skip over zero in a most stubborn manner. A2: Let two softball teams play a game, with each player betting one dollar a run to the opposing team. Further presume that no runs are scored (due to beer consumption) and no extra innings are allowed because it got dark. The final score is zero to zero. If a player is asked by his wife whether he won or lost, he would probably indicate that he "broke even". As the old math teacher said: " Proof? Why any fool can see that." These issues make themselves strongly felt in the classroom, textbook, in the frequent mishandling of the notion of zero by the novice and professional alike and therefore recommend themselves to our attention. These are among many issues of how to teach these concepts, say, to kids.
  • I think it is even, because it is between -1 and 1, which are both odd.
  • neither
  • Zero is an even number An even number is a number that is exactly divisible by 2. That means that when you divide by two the remainder is zero.
  • i think its even because 1 and -1 are both odd
  • G'day Deemikay, Thank you for your question. Zero is an even number except in certain circumstances. The definition of an even number is that you can divide it by 2 and not get a remainder. As 0/2 = 0, zero is generally considered to be an even number. However, some people claim that it is neither odd nor even. I have attached sources for your reference. Regards Wikipedia Zero http://en.wikipedia.org/wiki/0_%28number%29#Elementary_algebra The Straight Dope http://www.straightdope.com/mailbag/mzeroeven.html Ask Dr Math http://mathforum.org/library/drmath/view/57132.html Ask Yahoo! http://ask.yahoo.com/20020909.html
  • well, zero is concidered to be even because when devided by 2 u get no remainder which is common of even numbers. for example... 4 devided by 2=2 also if u add an even number it results in an even number...for example 0+2=2 also consider the pattern of the number line... -2 -1 0 1 2 even odd 0 odd even therefore it should be even! although some mathamaticians argue that it is neither odd or even because it has special features. i hope that answers your question is zero odd or even?
  • 0 is even.
  • Working on a basis of Odd then Even it should be an even number. I believe that it is considered as such
  • A cleaner definition of "even" is this: X is even if there exists another integer N such that 2 times N is equal to X. In algebraic terms this avoids the division operation that can get complicated when run negative numbers through our rings and modoules. Division works, but I find the multiplicative definition to be much more elegant. And, yeah, zero is even.
  • After carefully reading the other answers I have decided that "0" is a very odd even number, but "even" all the same.
  • niether i don't know why but on a worksheet i'm doing now i'm trying to find out why zero is not even or odd.
  • I believe it is an odd number. I read earlier that an even number is a number divisible by two with no remainder, so: 0/2=0 (no remainder) However, : 0/1=0 (no remainder) Above, zero was divided by an odd number and still ended up with no remainder. So, I'd like to believe that it is neither even nor odd. O.o
  • It's technically even.
  • An even number is a number that is exactly two times an integer. Is zero an even number? Is zero exactly two times an integer? Zero is exactly two times zero. Therefore, zero is exactly two times an integer (the "integer" in this case being zero). Therefore, zero is an even number.
  • Even. Because anything with an 8, 6, 4, 2, or 0 at the end of it is considered even.
  • I will give you no straight answer, so everybody can draw their own conclusion. Being Odd or Even is one of the properties of an integer. Zero don't have a property, yet it can assume the property of anything, you can brand it any way you want but it won't stick to it, because there's NOTHING to stick to: three girls = females seven boys = males zero girls = males or females? All units of measurements becomes equal at zero: zero inches = zero miles zero inches = zero volts (amazing) zero inches = zero pounds (amazing) All objects becomes the same at zero: zero gal of water = zero gal of oil zero gal of water = zero gal of bytes (What? Say that again. I didn't know bytes could be measured in gallons. It doesn't matter, it is zero anyway)
  • Well, the terms odd and even only applies to postive integers. Therfore, 0, which is not a positive integer cannot be said odd or even.
  • im here to end everything and tell you that 0 is an even number becuase an even number has always been reffered to as a number divisble by 2 leaving 0 although 0 divided by any number remainder is 0 the fact is that 0 is divisble by without any remainder
  • "The number 0 is even. There are several ways to determine whether an integer is even or odd, all of which indicate that 0 is an even number: it is a multiple of 2, it is evenly divisible by 2, it is surrounded on both sides by odd integers, and it is the sum of an integer with itself. These proofs follow immediately from the definition of the term "even number", which does not allow in zero arbitrarily; it can be further motivated by the familiar rules for sums and products of even numbers. Within the even numbers, zero plays a central role: it is the identity element of the group of even integers, and it is the starting case from which all other even natural numbers are recursively generated. Every integer divides 0, including each power of 2; in this sense, 0 is the most even number of all. On the other hand, psychologically speaking 0 is often the least even number of all. In reaction time experiments, most subjects are slower to call 0 even than other even numbers. Both students and teachers in primary education are prone to a common misconception that the parity of zero is ambiguous, or simply that zero is odd. Several researchers in mathematics education write that such misconceptions represent an opportunity for exploration. Class discussions can highlight the necessity of reasoning from agreed-upon definitions. Reviewing sentences like 0 × 2 = 0 can expose students' apprehensions about calling 0 a number and using it in arithmetic. While understanding zero is a worthy end in itself, the particular consideration of parity is an early example of extending a familiar concept to an unfamiliar and perhaps unexpected setting — a pervasive theme throughout mathematics." "The precise definition of any mathematical term, such as "even" meaning "integer multiple of two", is ultimately a convention. And unlike "even", some mathematical terms are purposefully constructed to exclude especially trivial or degenerate cases. Prime numbers are a famous example. The definition of "prime number" has historically shifted from "positive integer with at most 2 factors" to "positive integer with exactly 2 factors", with the effect that 1 is no longer considered prime. Most authors rationalize this shift by observing that the modern definition more naturally suits mathematical theorems that concern the primes. For example, the fundamental theorem of arithmetic is easier to state when 1 is not considered prime. It would be possible to similarly redefine the term "even" in a way that no longer includes zero. However, in this case, the new definition would make it more difficult to state theorems concerning the even numbers. Already the effect can be seen in the the algebraic rules governing even and odd numbers. The most relevant rules concern addition, subtraction, and multiplication: even ± even = even odd ± odd = even even × integer = even Inserting appropriate values into the left sides of these rules, one can produce 0 on the right sides: 2 − 2 = 0 −3 + 3 = 0 4 × 0 = 0 The above rules would therefore be incorrect if zero were not even; at best they would have to be modified in some way. For example, one test study guide asserts that even numbers are characterized as integer multiples of two, but zero is "neither even nor odd". Accordingly, the guide's rules for even and odd numbers contain some exceptions: even ± even = even (or zero) odd ± odd = even (or zero) even × nonzero integer = even Making an exception for zero in the definition of evenness forces one to make such exceptions in the rules for even numbers. From another perspective, taking the rules obeyed by positive even numbers, and requiring that they continue to hold for all integers, forces the usual definition and the evenness of zero." Source and further information: http://en.wikipedia.org/wiki/Evenness_of_zero
  • Neither, I believe.
  • Even, as it alternates: 0 1 2 3 4 5/even odd even odd even odd.
  • I loved the Paris smog situation!!...with the zero number plates! My take: ZERO is an EVEN number BY DEFAULT, because it's placed between -1 and 1 on the whole-numberline! It also follows the rules that previous people mentioned in this FORUM. Mr D Head of Maths Alphington Grammar Melbourne Australia

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