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Is Zero Even or Odd

 
 
HuBrian的头像
Is Zero Even or Odd
HuBrian - 2018年06月30日 Saturday 17:15
 

Many people say it's even, many say it's neither. What is it truly. The def of even is n=2k where k is an integer right. So shouldn't this be even

 
AdminZIML的头像
Re: Is Zero Even or Odd
AdminZIML - 2018年07月2日 Monday 17:12
 

You answered your own question.  The number zero is an even number.  There are no arguments or different opinions about this.

People's confusion may come from different questions regarding zero.  For example, is zero positive or negative?  It is neither.

Another example: if we are not talking about the number zero, but the zero function (which is, a function $f(x)$ that maps to $0$ for every input value $x$), and we ask whether the zero function is an even function or an odd function (if you need to know the definition of even function and odd function, search Wikipedia).  The answer to this question is: it is both.  But this is a completely different question from the question about the number zero.