Question

State true or false.
Zero is a rational number.
A) True
B) False

Answer 1

Hint: Here we will use the concept of rational numbers. A rational number is the number which can be expressed in the form of \[\dfrac{p}{q}\] where p and q are co-prime and \[q \ne 0\].
We will check for zero whether it is rational or not. If it turns out to be rational then the statement would be true otherwise it would be false.

Complete step-by-step answer:
The given statement is:-
Zero is a rational number.
Now we know that:-
A rational number is the number which can be expressed in the form of \[\dfrac{p}{q}\] where p and q are co-prime and \[q \ne 0\].
Now, since zero can be expressed as \[\dfrac{0}{1}\] and also, zero when divided by zero except zero itself gives zero as the answer. So,
Zero can be expressed in the form of \[\dfrac{p}{q}\] where p and q are co-prime and\[q \ne 0\].
Hence, zero is a rational number.
Therefore, the given statement is true.

Hence, option A is the correct option.

Additional Information:
Zero when multiplied by any number gives zero.
Zero when divided by any integer except 0 gives zero as the answer.
Zero is neither a positive number nor a negative number.
Zero is not a prime number.

Note: Students here should keep in mind the fact that zero can be divided by any real number except for zero and any number which can be expressed in the form of a fraction whose denominator is not zero is the rational number.