We need to refer to the mathematical definition of the word "even."
The most commonly accepted definition is that a number "a" is even if there exists an integer "n" which makes the following statement true:
a = 2 x n
0 is an integer. So let n = 0 in the above equation and we get:
0 = 2 x 0
So 0 satisfies the mathematical definition for being even.
Please refer to the article in the "related links" section for a discussion about the misconceptions about zero and why people mistakenly think it is not an even number.
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The number 0 is proven to be even because the number 1 is odd and 2 is even and 3 is odd and this pattern continues to infinity. So 0 is even.
By definition, a number x is even if x/2 is an integer. Since 0/2 is 0, and 0 is an integer, it follows that 0 is even.
START (0/1=even/even): 0-->A 1-->B A (0/1=odd/even): 0-->START 1-->STOP B (0/1=even/odd): 0-->STOP 1-->START STOP (0/1=odd/odd): 0-->B 1-->A
An even number can be divided by 2. An odd number will have a remainder when divided by 2. 0 is an even number.
Yes f(x)=0 is both even and odd
*1 is an odd number * 0 is an even number
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 0 is an even number.