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 the values of:
$(i)$ $64^{\frac{1}{2}}$
$(ii)$ $32^{\frac{1}{5}}$
$(iii)$ $125^{\frac{1}{3}}$

Find six rational numbers between $3$ and $4$.

Write the following in decimal form and state what kind of decimal expansion each has:
$(i)$ $\frac{36}{100}$
$(ii)$ $\frac{1}{11}$
$(iii)$ $4 \frac{1}{8}$
$(iv)$ $\frac{3}{13}$
$(v)$ $\frac{2}{11}$
$(vi)$ $\frac{329}{400}$

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $\frac{1}{17}$?

You know that $\frac{1}{7} = 0.\overline{142857}$. Can you predict what the decimal expansions of $\frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}$ are,without actually doing the long division? If so,how?

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