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 [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.

is -1 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.

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