State whether the following statement is true or false:
Every whole number is a rational number.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(TRUE) The statement is True.
$A$ whole number is any number belonging to the set $W = \{0, 1, 2, 3, ...\}$.
$A$ rational number is defined as any number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.
Any whole number $n$ can be written as $\frac{n}{1}$.
For example,$0 = \frac{0}{1}$,$1 = \frac{1}{1}$,$2 = \frac{2}{1}$,etc.
Since every whole number can be expressed as a ratio of two integers with a non-zero denominator,every whole number is a rational number.

Explore More

Similar Questions

Fill in the blanks to make the following statement true:
$\sqrt{1 \frac{25}{144}} = \ldots$

Simplify the following:
$(\sqrt{3}-\sqrt{2})^{2}$

Simplify the following expression: $(\sqrt{11}-\sqrt{3})^{2}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three places of decimal.
$\frac{6}{\sqrt{6}}$

Difficult
View Solution

Find three different irrational numbers between the rational numbers $\frac{1}{3}$ and $\frac{7}{9}$.

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