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05-02-2008, 10:46 PM
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#1 | | Junior Member
Join Date: Jul 2007
Posts: 92
| Is 0 an even or odd integer?
Please answer. Thank you
Is it also a positive integer?
Last edited by freesn3; 05-02-2008 at 10:57 PM.
Reason: had to lol
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05-02-2008, 10:47 PM
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#2 | | Junior Member
Join Date: Mar 2008 Location: Vancouver, BC
Posts: 46
| Even. (10 char) | |
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05-02-2008, 10:48 PM
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#3 | | Senior Member
Join Date: Oct 2007 Location: Florida
Posts: 1,528
| It is an even integer. For example, all integers ending with 0 are even. | |
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05-03-2008, 01:44 AM
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#4 | | Member
Join Date: May 2007
Posts: 310
| To answer your other question, zero is neither positive nor negative. | |
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05-03-2008, 02:13 AM
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#5 | | Senior Member
Join Date: Aug 2004 Location: Penn
Posts: 3,401
| It is neither. | |
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05-03-2008, 02:22 AM
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#6 | | Junior Member
Join Date: Mar 2008
Posts: 82
| technically 0 by itself is neither even or odd
and its neither positive nor negative | |
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05-03-2008, 03:58 AM
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#7 | | Moderator
Join Date: Jun 2005 Location: Northeast
Posts: 1,306
| 0 is even (2 dived into 0 with a remainder 0).
freesn3 - multiple entries with the same question? Is 0 a postive or even integer or both? | |
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05-03-2008, 05:02 AM
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#8 | | Member
Join Date: Dec 2005
Posts: 646
| Zero is even. The definition of an even integer is this: n is even if (and only if) there exists an integer k such that n=2k. If n=0, then k=0 works, so zero is even. Note that this definition applies to negative integers as well, so -2, -4, etc. are all even.
Zero is neither positive or negative. You will sometimes see "non-negative integer" used to refer to 0, 1, 2, 3, ... | |
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05-03-2008, 04:31 PM
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#9 | | Member
Join Date: Feb 2008
Posts: 350
| It is defined as neither even or odd nor positive or negative | |
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05-03-2008, 04:38 PM
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#10 | | Member
Join Date: Oct 2007
Posts: 389
| IT IS EVEN!!!! Even written 2p where p is an integer while odd is written 2p+1 where p is an integer.(this is a face i just learned in my math class) All integers are either even or odd.(this is a theorem). It is not odd because it cannot fit the form 2p+1 where p is an integer. Therefore, since it is not odd, it is even. (2(0))=0 It's EVEN!! | |
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05-03-2008, 08:35 PM
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#11 | | Junior Member
Join Date: May 2008
Posts: 64
| 0 is actually defined as an interger, and it is even. It explains it like that in the SAT bluebook, I remember I missed a question like how many intergers from -27 to 30, and I forgot that zero was an interger  Good thing it was a practice ^^ BTW I would go with the college board's definition of zero, and anything else
for that matter  | |
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05-03-2008, 08:36 PM
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#12 | | Member
Join Date: Mar 2008 Location: Little Rock, AR
Posts: 315
| Zero is even! :] | |
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05-03-2008, 10:39 PM
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#13 | | Super Moderator
Join Date: Aug 2004 Location: MN
Posts: 12,725
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05-03-2008, 10:41 PM
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#14 | | Senior Member
Join Date: Nov 2007 Location: new joisy
Posts: 3,485
| damn, there's a wiki entry on everything | |
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05-03-2008, 10:43 PM
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#15 | | Senior Member
Join Date: Nov 2007 Location: new joisy
Posts: 3,485
| "every number divides zero, including two, so zero is the evenness integer of them all."
hellzyea! | |
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