# is -1 a rational number

To check –1 is a Rational Number or not.

Firstly we discuss rational numbers

We know that a rational number is a number that can be written in the form of \frac{p}{q} where p, q \in Z and q ≠ 0. The numbers 25, 3.765, 4.5, etc., are rational numbers.  can be reduced to the form \frac{p}{q}   where p, q Z, and q ≠ 0 because  \sqrt{25}=5

Examples of rational numbers:

i) 0.26=  is a rational number.

ii) 3.6666…  is a recurring decimal, it is a rational number.

iii) 5.333…is a rational number.

iv) 0.142857142857…    is a rational number.

since we may write -1 in the form of \frac{-p}q . i.e, \frac{-1}1=-1

Hence clearly -1 is a rational number.

## is -3 a rational number:

since we may write -3 in the form of \frac{-p}q . i.e, \frac{-3}1=-3

Hence clearly -3 is a rational number.