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

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

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

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

Locate $\sqrt{3}$ on the number line.

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

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