Are the following statements true or false? Give reasons for your answers.
$(i)$ Every whole number is a natural number.
$(ii)$ Every integer is a rational number.
$(iii)$ Every rational number is an integer.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $(i)$ False,because $0$ is a whole number but not a natural number.
$(ii)$ True,because every integer $m$ can be expressed in the form $\frac{m}{1}$,where $m$ is an integer and $1$ is a non-zero integer,so it is a rational number.
$(iii)$ False,because $\frac{3}{5}$ is a rational number but it is not an integer.

Explore More

Similar Questions

Visualize $4.\overline{26}$ on the number line,up to $4$ decimal places.

Locate $\sqrt{2}$ on the number line.

Check whether $7 \sqrt{5}$,$\frac{7}{\sqrt{5}}$,$\sqrt{2}+21$,and $\pi-2$ are irrational numbers or not.

Classify the following numbers as rational or irrational:
$(i)$ $\sqrt{23}$
$(ii)$ $\sqrt{225}$
$(iii)$ $0.3796$
$(iv)$ $7.478478 \ldots$
$(v)$ $1.101001000100001 \ldots$

Simplify the following expressions :
$(i)$ $(5+\sqrt{7})(2+\sqrt{5})$
$(ii)$ $(5+\sqrt{5})(5-\sqrt{5})$
$(iii)$ $(\sqrt{3}+\sqrt{7})^{2}$
$(iv)$ $(\sqrt{11}-\sqrt{7})(\sqrt{11}+\sqrt{7})$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo