Question

State true or false:

Rational number from following real numbers $-8.0,\sqrt{5},\frac{5}{7},-\sqrt{18},\sqrt{32},4.28,\pi ,3,\frac{8}{15},0.075$ are $-\mathrm{8.0.}\frac{5}{7},4.28,3,\frac{8}{15},0.075$.

• A. True
• B. False

Answer 1

The correct option is A True

Rational numbers are those numbers which can be expressed in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$.
From the given set of numbers, $-8.0,\frac{5}{7},4.28,3,\frac{8}{15},0.075$ are clearly rational numbers are they can be written in $\frac{p}{q}$ form.
Now, $\sqrt{5},-\sqrt{18},\sqrt{32}$ are not rational numbers as they cannot be simplied to $\frac{p}{q}$ form.
Also, $\pi$ is not a rational number.
Hence, the rational numbers in the given set are $-8.0,\frac{5}{7},4.28,3,\frac{8}{15},0.075$