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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What are Rational number?

Rational numbers are numbers which can be expressed in the form of p by q where p and q are integers and q is not equal to zero.

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Now, we know that if you are given numbers like 3, then it is obvious that it can be represented in the form of p by q like 3 by 1, and hence it is a rational number.

Similarly, zero can be also written as 0 by when and hence it is also rational number as it can be represented in the form of zero by one, where q is not equal to zero and p and q both are integers.

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Now, let us know what is irrational number.

Irrational numbers a number which cannot be represented in the form of p by q, where p and q are integers and q is not equal to zero.

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Answer 2

Answer

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.