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is zero a rational number, can you write it in the form of p/q , where p and q are integeres and q !=0
Asked by Murali dhar Last Modified
Answer 
Any number which can be expressed in the form p/q,
where i)p and q are integers and
ii)q is not 0
is a rational number.
Integers are are represented by Z
Z={......, -2, -1, 0, 1, 2,.....}
0 can be expressed as 0/1 or 0/2 or 0/3 and so on
Therefore 0= 0/1=0/2=0/3 and so on
hence we can represent 0 in the form p/q
where p=0 and q=1,2,3, so on (both an integer)
also q is not equal to 0.
therefore 0 is a rational number.
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Reeta Sachdeva
Tutor
Any number which doesn't fulfill the above conditions is irrational. It can be represented as a ratio of two integers as well as ratio of itself and an irrational number such that zero is not dividend in any case. So we can say that 0is rational because it is an integer.
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