Is zero a rational number? Can you write it in the form \(\frac{p}{q}\), where p and q are integers and q \(\ne\) 0?

Asked by Vishal kumar | 1 year ago |  285

1 Answer

Solution :-

Consider the definition of a rational number.

A rational number is the one that can be written in the form of \(\frac{p}{q}\), where p and q are integers and q \(\ne\) 0.

  • Zero can be written as \( \frac{0}{1},\frac{0}{2}, \frac{0}{3}, \frac{0}{4},\frac{0}{5}...\)
  • Zero can be written as well \( \frac{0}{-1}, \frac{0}{-2},\frac{0}{-3},\frac{0}{-4}...\)

So, we arrive at the conclusion that 0 can be written in the form of \(\frac{p}{q}\), where p and q are integers (q can be positive or negative integers).

Therefore, zero is a rational number.

Answered by Shivani Kumari | 1 year ago

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