Question

Is the decimal form of 13/3 a rational number.

Answer 1

Answer with explanation:

→A number is said to be rational number , if it can be written in the form of

$\frac{p}{q}$, where q≠0.

→A rational number is said to be terminating decimal if denominator of rational number is in the form of

  $2^m \text{or} 5^n \text{or} 2^m \times 5^n$

otherwise , it is non terminating repeating decimal.

→The given Rational number is

   $\frac{13}{3}$

Here denominator contains neither powers of 2 , nor powers of 5, nor power of 2 × 5, so it is a non terminating repeating decimal , still a rational number.

Answer 2

Yes because its a whole number