Insert a rational number and an irrational number between the following:
$0.0001$ and $0.001$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) rational number is a number that can be expressed in the form $p/q$,where $p$ and $q$ are integers and $q \neq 0$. $A$ terminating decimal is a rational number.
$1$. Rational number: We can choose $0.0005$. Since $0.0005 = 5/10000 = 1/2000$,it is a rational number lying between $0.0001$ and $0.001$.
$2$. Irrational number: An irrational number is a non-terminating and non-recurring decimal. We can construct one by following a pattern: $0.0001010010001...$ This number is clearly greater than $0.0001$ and less than $0.001$,and it does not terminate or repeat,making it an irrational number.

Explore More

Similar Questions

Insert a rational number and an irrational number between $2$ and $3$.

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

Express $0.6 + 0.\overline{7} + 0.4\overline{7}$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$.

Difficult
View Solution

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.

Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$

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