Name: Mathematical Operations on Exponential Numbers
Uploaded: 2019-07-19
Duration: 6 min 37 s
Description: In this video, we will learn the operations on exponential numbers, such as addition, subtraction, multiplication and division, in a detailed manner.

Question

Represent

\sqrt{7}

on number line.

Accepted Answer

Steps to represent $\sqrt{7}$ on number line.

(i) Draw a line segment $A B = 7$ and extend it to $C$ such that $B C = 1$ .
(ii) Draw the perpendicular bisector of $A C$ and mark the mid point of $A C$ as $O$
(iii) With $O$ as centre and $O A$ as radius, draw the semicircle.
(iv) At point $B$ , draw a perpendicular $B D$ which intersect the semicircle at $D$ .
(v) With $B$ as centre and $B D$ as radius, draw an arc which intersect $A C$ produced at $E$ .
(vi) $B D = B E = \sqrt{7}$ and point $E$ represent $\sqrt{7}$

Proof: $A B = 7 c m$ , $B C = 1 c m$ , $A C = 7 + 1 = 8 c m$
$O A = O B = \frac{8}{2} = 4 c m$
$O B = O C - B C = 4 - 1 = 3$
In $△ O B D \Rightarrow B D^{2} = O D^{2} - O B^{2}$ $= {(4)}^{2} - {(3)}^{2}$ $= 16 - 9$
$\Rightarrow B D^{2} = 7$
$\Rightarrow B D = \sqrt{7}$
$∴ B D = B E = \sqrt{7} c m$ point represents $\sqrt{7}$

Represent $\sqrt{7}$ on number line.

Important Questions on Number System

Learn and Prepare for any exam you want !

Represent 7 on number line.

Important Questions on Number System

Learn and Prepare for any exam you want !

Represent $\sqrt{7}$ on number line.