Is Zero a Rational Number

Know whether zero falls under Rational Numbers or not and the statements supporting it here. Yes, Zero is a Rational Number and you will have clarity on it by the end. As we can write the Integer 0 in any of the below forms.

For instance, 0/1, 0/-1, 0/2, 0/-2, 0/3, 0/-3, 0/4, 0/-4 …..

In other words, we can express as 0 = 0/b where b is a non zero integer.

Thus, you can write 0 as a/b = 0 where a is 0 and the denominator b is a non- zero integer.

Therefore, 0 is a Rational Number.

Examples

(i) 0/6

0/6 is a rational number as we have the denominator non- zero integer.

(ii) 0/-2

0/-2 is a rational number since -2 is an integer and is non zero.

(iii) 0/10

0/10 is a rational number since we have 12 in the denominator which is a non zero integer.

Thus, the above instances prove that 0 is a Rational Number.