Question

Which one of These is a rational number

Answer 1

Answer:

OPTION D: 0

Step-by-step explanation:

Rational numbers are subset of real numbers. These are the numbers that can be represented by a ratio of two integers i.e., of the form $\frac{p}{q}$, where 'q' is non-zero. The numbers after the decimal forms a pattern. Since, 'q' can be equal to 1, we conclude all integers are rational numbers.

Irrational numbers are the numbers which cannot be represented as ratios. They can only be represented as an approximate value. The numbers after the decimal do not form a pattern.

Here, A is 11.761038... Clearly, the decimal is non-terminating and does not follow a pattern.

In Option B we have √20. √20 = √2 . √10. We know that √2 is an irrational number. So, √20 is also irrational.

In Option C, we have the famous $\pi$. The value of $\pi$ is 3.14.... It is an irrational number. The approximate representation of $\pi$ is $\frac{22}{7}$.

In Option D, we have 0. It is an integer. So, it is rational as well.