Is zero an even no or odd no?
Today i was studying Group theory..so this question arises in my mind
What do you think guys...zero an even no or odd no?
Please give some solid reason with your answer///
What do you think guys...zero an even no or odd no?
Please give some solid reason with your answer///
Replies
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Saandeep SreerambatlaGenerally Even number is called an integer which is exactly divisible by 2.
So even numbers are considered to be in the form of 2k.
so zero is an even number.
Check this link for more detailed answer.
Evenness Of Zero -
cooltwinsyeah even nos. are those which can be divided by 2 so zero falls under the even category
also only if x%2=1 the no. is considered odd and 0%2=0 so it is even
besides it is generally oddno.,even no., oddno.,even no., oddno.,even no.,... order so the no. before an odd no. i.e., 1 is undoubtedly even -
Eddy boyzero is even if you think it is odd than give the characteristic of zero that matches with odd one....zero is unique digit in number system
...thanks -
Manish GoyalHere is the answer which i got from a website
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. -
GuttuZero doesn't exists. So it cannot be odd or even.
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durga chi go with Guttu.
Zero indicates emptiness. So how do you classify something which doesnot exists?
I guess this very emptiness gave rise to the principle of infinitness i.e 2/0 = infinity.
yes, if you consider zero as a number, the above justification works stating 0/2 et al make sense. -
MaRoZero indicates the emptiness that gives a high value when attached to a non-empty value, so emptiness itself is a value, if there's no emptiness there wouldn't be more.
P.S.: just a thought not sure about its validity. -
skipperFactorial 0 is 1. Then there is some argument about 0[sup]0[/sup].
Zero is a quotient group in the integers as Z/nZ, n = 0, a modular form equivalent to div 0.
Div 0 means "divide zero times", not "divide by zero". -
Saandeep SreerambatlaYep I go with skipper here!!
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vik001ind0 in non positive & non negative integer. By the definition of evenness & oddness, any no divisible by 2 is even & otherwise odd.
So 0 is even , as 0/2 = 0 & 0 is a whole no. -
callyDI second vik001ind's comment... Zero is an even number, as 0 is divisible by 2, and leaves no remainder. 0 is neither positive nor negative.
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