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Is zero an odd or even number?
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Is zero an odd or even number?
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whadu Level 49: GameShark

 Posts: 37193Timestamp: Mon Mar 09, 09 12:23 PM
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I think we can all agree that 0 is a number without value, and I believe to be even or odd, positive or negative, you have to have some kind of value, value being either more positive or more negative. End game, I think zero is neither odd or even.
What do you guys think?
These resources below are just answers to help you better define your own answer if you don't have one already.
Resources:
Hi,
I would like to know if zero is an odd number or even number. I remembered my kindergarten teacher saying it is an odd number.My mom and sister says it is even number.
This question is in the category K-5. I am in second grade now. My sister is in fourth grade.
I would appreciate the answer for my question
Thanks,
Aliya.
Hi Aliya,
A number is even if it is divisible by 2 without a remainder. So 6 is even since 6 divided by 2 is 3, and 12 is even since 12 divided by 2 is 6, but 7 is not even since 7 divided by 2 is 3 with a remainder of 1. What about zero? Zero divided by 2 is zero with no remainder so zero is even.
Penny
Source: http://mathcentral.uregina.ca/QQ/database/QQ.02.06/aliya1.html
---
As Billy Preston so eloquently states in his #1 hit from 1974, "Nothin' from nothin' leaves nothin'." We're all pretty clear on the concept of zero -- the void, the absence, the sheer nothingness of it. But whether it's classified as an odd or even number is an entirely different subject that has puzzled people throughout the ages.
To begin our quest into the land of zilch, we stopped off at the Zero category in the Yahoo! Directory. Surprisingly, we found several sites in a category where you might not expect to find anything. Only one site tackled the pertinent issue. Zero in Four Dimensions featured a lengthy discourse on how the number should be categorized. In the section labeled "Logical Perspective," the author states that zero has a hard time being either odd or even since it isn't even really a number! Zero sits alone, smack dab in between the positive and the negative, signifying absolutely nothing.
To get a better grasp on the concept, we tried an advanced search on "number zero" + odd. On a page titled The Zero Effect by Donn Responds, we read that an even number divided by 2 leaves no remainder, while an odd number divided by 2 leaves a remainder. According to this logic, zero would be an even number. However, Donn doesn't buy this argument and states:
Zero is divisible by any number and leaves no remainder. In this it is unique. ( 0/n = 0 ; independent of what "n" is. When a number...say 5, is divided by a pedestrian integer you get quotients like: 1.666 (5/3) or 0.625 (5/8) but divide any number by zero and the quotient is...undefined. Every single time.
After some further digging, we turned up two other sources that argued that 0 falls into the realm of even numbers. Dr. Pete of the Math Forum insists that every integer must be even or odd, and states, "An integer 'n' is called *even* if there exists an integer m such that n = 2m...From this, it is clear that 0 = (2)(0) is even." The Straight Dope echoes these findings in a column on the subject.
So it seems we have a definite split amongst the minds of mathematics. Some sources claim zero is neither negative nor positive, while others label it a positive number. It's a positively odd situation that leaves us in a quandary over nothing. Ultimately, we suggest reading through the sources and deciding for yourself.
Source: http://ask.yahoo.com/20020909.html ___
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<kTp> Level 12: Freedom Fighter

 Posts: 387Timestamp: Mon Mar 09, 09 7:56 PM
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Well, I used to think of it as even, because it goes "...odd, even, odd, even....", and so {-2 -1 0 1 2 } would be even, odd, even, odd, even...
But then someone asked my math teacher, who I SWEAR must be related or reincarnated from Einstein, and he said it was just simply, neither. He had his reasoning now, which included a few equations, but I don't remember them. it was just something about it being both, and so therefore neither, but I can't remember how he proved it was both odd and even. That was after he proved that 2 could equal three, but only if you could divide by 0, which you can't.
So, technically, Chuck Norris can make 2 = 3, since he can divide by 0. ___
"2 - 3 - 1 ! Twenty three is number one!"
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noob_crusher Level 1: Goomba Menace
 Posts: 1Timestamp: Tue Apr 07, 09 10:42 AM
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westshooter Level 3: Desert Eagle
 Posts: 10Timestamp: Tue Apr 07, 09 6:19 PM
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MetalMessiah Level 41: Metal Blade

 Posts: 16722Timestamp: Tue Apr 07, 09 9:31 PM
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| noob_crusher wrote: | | Zero isn't a number (it's a concept), so it's neither even nor odd. |
Exactly what I was going to say lol. ___
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Kennisiou Level 21: Purple Prophecy

 Posts: 1541Timestamp: Wed Apr 08, 09 11:05 AM
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Yeah, it's right. Zero doesn't have all of the properties of numbers because you can't divide by it. It's as much a number as infinity, which is used as like number in more advanced mathematics very often. Unlike infinity, zero can't meaningfully be expressed as either positive or negative, though. ___ My playlist at Playlist.com -- so that you guys don't have to deal with my ska clogging the BC playlist any more.
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smeggergal Level 3: Desert Eagle

 Posts: 11Timestamp: Fri Apr 17, 09 8:04 PM
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annablack Level 3: Desert Eagle
 Posts: 14Timestamp: Tue Jul 07, 09 8:18 PM
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BlissfulReaper Level 5: Gut's Rage

 Posts: 59Timestamp: Thu Jul 09, 09 1:38 PM
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Biotic Level 34: Masked Menace

 Posts: 8538Timestamp: Thu Jul 09, 09 2:54 PM
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