R Chandra Solutions for Chapter: Number Systems, Exercise 6: TEST YOUR SKILLS

The product of zero and an irrational number is irrational number.

$\mathrm{\pi }\mathrm{}$ and $\mathrm{}\frac{22}{7}$ are not same.

A number is an irrational number, if it has a non-terminating and non-recurring decimal representation.

A rational number $\frac{\mathrm{p}}{\mathrm{q}}$ is a terminating decimal only, when prime factors of $\mathrm{q}$ are $2$ or $5$ or both.

If $\mathrm{a}>0$ and $\mathrm{b}>0$ be real numbers, $\mathrm{‘}\mathrm{m}\mathrm{’}$ and $\mathrm{‘}\mathrm{n}\mathrm{’}$ be rational numbers, then we have ${\mathrm{a}}^{\mathrm{m}} \times {\mathrm{b}}^{\mathrm{n}}={\left(\mathrm{a}\mathrm{b}\right)}^{\mathrm{m}+\mathrm{n}}$.

All whole numbers are natural numbers.

$\mathrm{‘}4\mathrm{’}\mathrm{}$ is the smallest composite number.

$\frac{3-2}{2}$ is a rational number between $2$ and $3$.