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

Find the decimal expansions of $\frac{10}{3}$,$\frac{7}{8}$ and $\frac{1}{7}$.

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

Rationalise the denominators of the following:
$(i)$ $\frac{1}{\sqrt{7}}$
$(ii)$ $\frac{1}{\sqrt{7}-\sqrt{6}}$
$(iii)$ $\frac{1}{\sqrt{5}+\sqrt{2}}$
$(iv)$ $\frac{1}{\sqrt{7}-2}$

Classroom activity (Constructing the 'square root spiral') : Take a large sheet of paper and construct the 'square root spiral' in the following fashion. Start with a point $O$ and draw a line segment $OP_1$ of unit length. Draw a line segment $P_1P_2$ perpendicular to $OP_1$ of unit length (see Fig.). Now draw a line segment $P_2P_3$ perpendicular to $OP_2$. Then draw a line segment $P_3P_4$ perpendicular to $OP_3$. Continuing in this manner,you can get the line segment $P_{n-1}P_n$ by drawing a line segment of unit length perpendicular to $OP_{n-1}$. In this manner,you will have created the points $P_2, P_3, ..., P_n, ...$,and joined them to create a beautiful spiral depicting $\sqrt{2}, \sqrt{3}, \sqrt{4}, ...$.

Difficult
View Solution

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

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