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Homework Help: Zero - Is it an even number?

  1. Dec 10, 2006 #1
    I was wondering if zero is an even number, or it depends on situation?
     
  2. jcsd
  3. Dec 10, 2006 #2

    Hootenanny

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    Even numbers(n) are often defined by the equation [itex]n=2k\;\;\;\; n\in\mathbb{Z}[/itex]. So, yes, zero is an even number.
     
  4. Dec 10, 2006 #3

    HallsofIvy

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    Conversely, an even number is one that is evenly divisible by 2: there is no remainder. Since 0/2= 0, yes, 0 is an even number.
     
  5. Dec 11, 2006 #4

    cepheid

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    Shouldn't it be [itex] k \in \mathbb{Z} [/itex] ?
     
  6. Dec 11, 2006 #5

    HallsofIvy

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    Yes. Probably a typo.
     
  7. Dec 12, 2006 #6

    Hootenanny

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    Indeed, well spotted cepheid.
     
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