The following real number is expressed in decimal form. Determine whether it is rational or not. If it is rational,express it in the form of $\frac{p}{q}$. $3.127$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) The decimal form $3.127$ is a terminating decimal.
Since every terminating decimal can be expressed as a fraction,it is a rational number.
To express $3.127$ in the form of $\frac{p}{q}$,we remove the decimal point and divide by $1000$ because there are three digits after the decimal point.
$3.127 = \frac{3127}{1000}$

Explore More

Similar Questions

Prove that the number $\sqrt{2}$ is irrational.

Difficult
View Solution

Which of the following is an irrational number?

Which of the following is a rational number? $(\sqrt{7}, 3\pi, 0.101000..., 0)$

$2.031 \overline{2}$ is ............

Prove that $\sqrt{3}$ is an irrational number.

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