Represent $\sqrt{9.3}$ on the number line.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) To represent $\sqrt{9.3}$ on the number line,follow these steps:
$1$. Draw a line segment $AB = 9.3 \text{ units}$ on a line $l$.
$2$. From point $B$,mark a point $C$ such that $BC = 1 \text{ unit}$. Now,$AC = 9.3 + 1 = 10.3 \text{ units}$.
$3$. Find the midpoint of $AC$,let it be $O$. Draw a semicircle with center $O$ and radius $OA = OC$.
$4$. Draw a perpendicular line at point $B$ to the line $l$,which intersects the semicircle at point $D$. The length of $BD$ is $\sqrt{9.3}$.
$5$. With $B$ as the center and $BD$ as the radius,draw an arc on the number line $l$ to intersect it at point $E$. The distance $BE$ represents $\sqrt{9.3}$ on the number line.

Explore More

Similar Questions

Show that $0.3333... = 0.\overline{3}$ can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \ne 0$.

Visualize $4.\overline{26}$ on the number line,up to $4$ decimal places.

Find:
$(i)$ $2^{2/3} \cdot 2^{1/5}$
$(ii)$ $(1/3^3)^7$
$(iii)$ $11^{1/2} / 11^{1/4}$
$(iv)$ $7^{1/2} \cdot 8^{1/2}$

State whether the following statements are true or false. Justify your answers.
$(i)$ Every irrational number is a real number.
$(ii)$ Every point on the number line is of the form $\sqrt{m}$,where $m$ is a natural number.
$(iii)$ Every real number is an irrational number.

Check whether $7 \sqrt{5}$,$\frac{7}{\sqrt{5}}$,$\sqrt{2}+21$,and $\pi-2$ are irrational numbers or not.

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