Is Zero Even, Odd, or Neither?Date: 03/31/97 at 22:00:45 From: A Goldberg Subject: Is Zero Even, Odd, or Neither? Today 2 students made a bet on whether zero is even, or neither even nor odd. After polling 4 math teachers, it's a 2-2 tie. Please explain the correct answer, and why (i.e. by definitions of whole numbers, integers, even properties...) Thanks. Date: 04/01/97 at 05:28:16 From: Doctor Pete Subject: Re: Is Zero Even, Odd, or Neither? Zero is an even number. An integer n is called *even* if there exists an integer m such that n = 2m, and *odd* if n+1 is even. From this, it is clear that 0 = (2)(0) is even. The reason for this definition is so that we have the property that every integer is either even or odd. I'm surprised that some teachers believe 0 to be neither even nor odd.... -Doctor Pete, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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