Why is 0 even a number?

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3 Answers

Atul Chhotray Profile
Atul Chhotray answered
It is based on the properties of the even and odd numbers.

Firstly when we add an even and a odd number we always get an odd number.
Eg. 2 + 3 = 5
This property is satisfied by 0.
Even numbers when multiplied with any number produce even numbers. 0 multiplied by anything is 0.

Hence seems logical to include it in the set of even numbers.
Oddman Profile
Oddman answered
It is required as a place holder in our place-value number system.
thanked the writer.
Oddman
Oddman commented
It is also required so the set of integers will be closed with respect to the subtraction operation. (The difference of any two integers is another integer.)
Jewel Lett Profile
Jewel Lett answered
Because without it there cant be negative anything as negative numbers are behind the zero. Also if you dont have anything , you have 0. That is an amount and therefore a number.

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