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 [katex]\frac{p}{q}[/katex] where p, q [katex]\in[/katex] Z and q ≠ 0. The numbers 25, 3.765, 4.5, etc., are rational numbers. can be reduced to the form [katex]\frac{p}{q}[/katex] where p, q Z, and q ≠ 0 because [katex]\sqrt{25}=5[/katex]
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 [katex] \frac{-p}q [/katex]. i.e, [katex] \frac{-1}1=-1 [/katex]
Hence clearly -1 is a rational number.
is -3 a rational number:
since we may write -3 in the form of [katex] \frac{-p}q [/katex]. i.e, [katex] \frac{-3}1=-3 [/katex]
Hence clearly -3 is a rational number.