Question

Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0?​

Answer 1

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We know that, a number is said to be rational if it can be written in the form p/q , where p and q are integers and q ≠ 0.

Taking the case of ‘0’,

Zero can be written in the form 0/1, 0/2, 0/3 … as well as , 0/1, 0/2, 0/3 ..

Since it satisfies the necessary condition, we can conclude that 0 can be written in the p/q form, where q can either be positive or negative number.

Hence, 0 is a rational number.

Answer 2

We know that, rational number is a number which can be written in the form of ${\sf{ \dfrac{p}{q} }}$ , where q is not equal to zero.

Thus, yes, zero is a rational number, as it can be written in the form of ${\sf{ \dfrac{p}{q} }}$ Since, 0 (zero) is an integer thus, zero can be written in the form of ${\sf{ \dfrac{p}{q} }}.$

Example :

${\sf{ \dfrac{0}{1} }}$

${\sf{ \dfrac{0}{2} }}$

${\sf{ \dfrac{0}{3} }}$ , etc. where 0 (zero) is an integer.

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Hope it will be helpful :)⚡