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2007-02-25 01:34:12 · 23 answers · asked by Neeraj K 1 in Science & Mathematics Mathematics

23 answers

Zero is an even number

-3, -2, -1, 0, 1, 2, 3...every other number is even.

In addition, zero is not a positive or a negative number, and it is not a prime or composite number.

2007-02-25 01:41:19 · answer #1 · answered by Mathlady 6 · 1 1

1)A given number is termed as even when 2 divides that number.
e.g. 2|2, 2|4, etc.
2*0=0
so, 0=0/2
therefore, 2|0
hence, 0 is even.

2)0 is followed by an odd number, i.e. 1.
It is also preceded by -1 which is also an odd number.
That means 0 is between two odd numbers.
Therefore 0 is even.

2007-02-28 10:17:36 · answer #2 · answered by JanV 2 · 1 0

THIS IS VERY SIMPLE TO UNDERSTAND. Odd means WITH ONE ELEMENT LEFT ALONE. Since when you put 2 people together, they can each find a partner for a dance, there is nobody left alone. 1 dancer will be dancing with 1 dancer. If there are 4 dancers, 2 dancers will be dancing with 2 dancers.

On the other hand, when 3 people want to dance in pairs, one of them will always be awaiting a companion, will have to stay on the side. 1 will be dancing with 1, while 1 will be left aside.

Now zero dancers will equal an empty room,and there will be no one left alone. So zero is even. There is zero dancers dancing with zero dancers.

I believe that sometimes, to understand mathematical truths, one must change his conception. Another problem where conception should change is in the case of 0! =1, (-1)(-1)=1, 0^0 is undefined.

2007-02-26 15:48:56 · answer #3 · answered by Arc 2 · 2 0

One could say that 0 is neither even nor odd, if you accept that zero is not a normal natural number. But if you have to choose, then 0 is even, because it can be written in the form of 2*n, where n is a non-negative integer, as opposed to 2*n+1 (odd numbers).

2007-02-25 09:39:09 · answer #4 · answered by supersonic332003 7 · 1 1

0 is interesting .. didn't bertrand russell devote a whole book to it?

Most people nowdays think of 0 as a limit as a quantity keeps getting smaller, but that doesn't help you in a number theory context (is it odd or even)

I think better way of thinking about 0 is the algebraic identity for addition .. any number + 0 = the same number.

Now you would normally say that if you add an odd an even number together you get an odd number. Consistent with that , you can say 0 is even.

2007-02-25 09:40:28 · answer #5 · answered by hustolemyname 6 · 0 2

0 is neither even nor odd . Because it is lesser than 2 and also cannot be mentioned as not divisible by 2. Many say 0 is even because 2x0=0 . So, that 's why . But the truth is 0 is neither even nor odd .

2007-02-26 10:45:57 · answer #6 · answered by Anonymous · 1 1

0 is even. When 0 is divided by 2 results 0 and left 0. So 0 is even because the left is 0.

2007-02-25 09:38:41 · answer #7 · answered by diamond 3 · 0 2

An even number is any number that is divisible by 2 without a remainder. 0 is divisible by 2, and so it is even.

Every even number is a multiple of 2. That is, for every integer n, if you multiply it by 2, you'll get an even number. For example:

2*4 = 8
2*3 = 6
2*2 = 4
2*1 = 2
2*0 = 0
2*-1 = -2
etc

2007-02-25 09:40:17 · answer #8 · answered by mrfahrenbacher 3 · 1 2

Oh my, some people never learn... Please, once and for all:

ZERO. IS. EVEN.

Even numbers are of the form 2n, where n is any integer. There's no mathematical reason to make an exception for n=0 (or negative for that matter).

If you need a more convincing argument, read my answer to this question:

http://answers.yahoo.com/question/index;_ylt=Ahs.mVFLnhM2LvEndWL7DSojzKIX?qid=20061213091506AAFm2tQ

(Don't look at "Best Answer"... there's a reason why this guy got 5 thumbs down.)

2007-02-27 16:25:45 · answer #9 · answered by Anonymous · 0 0

0 is even
any no when divided by 2 that gives a whole no (includes 0) is an even no
0/2 = 0

2007-02-25 13:00:52 · answer #10 · answered by sushobhan 6 · 1 1

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