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

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $(i)$ True; the collection of whole numbers is ${0, 1, 2, 3, ...}$ and the collection of natural numbers is ${1, 2, 3, ...}$. Since all natural numbers are present in the set of whole numbers,the statement is true.
$(ii)$ False; integers include negative numbers,zero,and positive numbers,whereas whole numbers only include zero and positive numbers. For example,$-3$ is an integer but not a whole number.
$(iii)$ False; rational numbers include fractions and decimals,whereas whole numbers are non-negative integers. For example,$\frac{1}{5}$ is a rational number but not a whole number.

Explore More

Similar Questions

Visualise $3.765$ on the number line,using successive magnification.

Find an irrational number between $\frac{1}{7}$ and $\frac{2}{7}$. (in $...$)

Find:
$(i)$ $2^{2/3} \cdot 2^{1/5}$
$(ii)$ $(1/3^3)^7$
$(iii)$ $11^{1/2} / 11^{1/4}$
$(iv)$ $7^{1/2} \cdot 8^{1/2}$

Find five rational numbers between $1$ and $2$.

Visualize the representation of $5.3\overline{7}$ on the number line up to $5$ decimal places,that is,up to $5.37777$.

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