Find the sum of 2 . 3 ¯ and 4 . 15 ¯ .

We need to find the value of 2 . 3 ¯ + 4 . 15 ¯ in the form of p q Let x = 2 . 3 It can be represented as x = 2 . 333333 . . . . (1) Multiplying equation (1), by 10 , we obtain 10 x = 23 . 3333 . . . . (2) Subtracting (1) from (2), we get undefined x = 21 9 = 7 3 Thus, the number 2 . 3 ¯ is represented in the form 7 3 . Let y = 4 . 15 ¯ It can be represented as y = 4 . 151515 . . . (3) Multiplying equation (3), by 100 , we obtain 100 y = 415 . 1515 . . . . (4) Subtracting (3) from (4), we get y = 411 99 = 137 33 Thus, the number 4 . 15 ¯ is represented in the form 137 33 . Hence, 2 . 3 + 4 . 15 ¯ = 7 3 + 137 33 = 77 33 + 137 33 = 214 33

E M B I B E

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 4

TEST 4

Author:Brijesh Dwevedi & Jitendra Gupta

Brijesh Dwevedi Mathematics Solutions for Exercise - TEST 4

Simple step-by-step solutions to TEST 4 questions of Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5] from All in One Mathematics. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.

Questions from TEST 4 with Hints & Solutions

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 5>Q 2

If $x = (7 + 4 \sqrt{3})$ , then the value of $\frac{1}{x}$ is

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 5>Q 3

If $(x, y) = (y, x)$ , then the value of $(x - y)$ is

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 5>Q 4

At what point, the graph of linear equation $2 x + 3 y = 6$ cuts the $Y$ -axis?

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 5>Q 5

In the given figure, $A E = D F, E$ is the mid-point of $A B$ and $F$ is the mid-point of $D C$ . Using Euclid's axiom. show that $A B = D C$ .

Question Image

HARD

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 5>Q 6

Find the sum of $2 . \bar{3}$ and $4 . \bar{15}$ .

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 16 - Periodic Tests Pre-Mid Term Tests [Chapters Covered - 1-5]>TEST 5>Q 7

If the polynomials $a z^{3} + 4 z^{2} + 3 z - 4$ and $z^{3} - 4 z + a$ leave the same remainder when divided by $z - 3$ , then find the value of $a$ .