NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

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# NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Edited By Ravindra Pindel | Updated on Aug 16, 2023 10:11 AM IST

## NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers - Free CBSE PDF

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers: In earlier classes, you have studied whole numbers, natural numbers, integer numbers. In this article, you will get CBSE NCERT rational numbers class 7 solutions. Fractions number is a rational number that contains only positive integers whereas the rational number contains positive and negative integers. All fractions are rational numbers but all rational numbers are not fractions.

Once you go through you will get more clarity of the concepts. You must refer to the NCERT Syllabus for Class 7 Maths for better understanding. There are 14 questions in 2 exercises given in NCERT. In CBSE NCERT solutions for Class 7 Maths chapter 9 rational numbers, you will get all detailed explanations of all these questions including practice question given at end of the very topic. You can get NCERT Solutions by clicking on the above link. Here you will get solutions to two exercises of this chapter.

## NCERT Solutions for Maths Chapter 9 Rational Numbers Class 7 - Important Formulae

Rational number = p/q, Where p and q are integers and q ≠ 0.

Numerator and Denominator: In the p/q , p is the numerator and q is the denominator.

Comparison of Rational Numbers:

p/q < a/b If pb < aq

p/q > a/b If pb > aq

Operations on Rational Number:

• Addition of rational numbers : (p/q) + (a/b) = ((p×b) + (a×q))/(q×b)

• Subtraction of rational numbers: (p/q) - (a/b) = ((p×b) - (a×q))/(q×b)

• Multiplication of rational numbers: p/q) × (a/b) = (p×a)/(q×b)

• Division of rational numbers: (p/q) ÷ (a/b) = (p×b)/(q×a)

Reciprocal of p/q = q/p

(Rational number)(Reciprocal) = 1

For more, Download Ebook - NCERT Class 7 Maths: Chapterwise Important Formulas And Points

## NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers - Important Points

A rational can be expressed in the form of p/q , Where p and q are integers and q ≠ 0.

Numerator and Denominator: In the p/q , p is the numerator and q is the denominator.

We obtain another equivalent rational number by multiplying the numerator and denominator with the same nonzero integer.

+ sign and positive integer: a position to the right of 0.

- sign and negative integer: a position to the left of 0.

Rational Numbers in Standard Form:

Its denominator is a positive integer.

The numerator and denominator have no common factor other than 1.

Examples: 3/5 , -5/8 , 2/7, etc.

Comparison of Rational Numbers:

p/q < a/b If pb < aq

p/q > a/b If pb > aq

Operations on Rational Number:

• Addition of rational numbers : (p/q) + (a/b) = ((p×b) + (a×q))/(q×b)

• Subtraction of rational numbers: (p/q) - (a/b) = ((p×b) - (a×q))/(q×b)

• Multiplication of rational numbers: p/q) × (a/b) = (p×a)/(q×b)

• Division of rational numbers: (p/q) ÷ (a/b) = (p×b)/(q×a)

Reciprocal of a rational number:

Reciprocal of p/q = q/p

Product of rational numbers with its reciprocal is always 1.

Free download NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers PDF for CBSE Exam.

## NCERT Solutions for Maths Chapter 9 Rational Numbers Class 7 Topic 9.3

Answer: Yes , $\frac{2}{-3}$ is a rational number because it is written in the form: $\frac{p}{q}$ , where $p = 2\ and\ q = -3\neq 0$ .

Question:2

Answer: Any ten rational numbers are:

$1, \frac{2}{3}, -\frac{1}{3}, -5, 0, 356, -\frac{39}{25}, -36, 1999, \frac{-1}{-2}$

Question:

(i) $\frac{5}{4}=\frac{\square }{16}=\frac{25}{\square }=\frac{-15}{\square }$ (ii) $\frac{-3}{7}=\frac{\square }{14}=\frac{9}{\square }=\frac{-6}{\square }$

(i) $\frac{5}{4}=\frac{\square }{16}=\frac{25}{\square }=\frac{-15}{\square }$

$\frac{5}{4}$ can be written as:

$\Rightarrow \frac{5}{4} = \frac{5\times4}{4\times4} = \frac{20}{16}$

$\Rightarrow \frac{5}{4} = \frac{5\times5}{4\times5} = \frac{25}{20}$

$\Rightarrow \frac{5}{4} = \frac{5\times-3}{4\times-3} = \frac{-15}{-12}$

Hence, we have

$\frac{5}{4}=\frac{20 }{16}=\frac{25}{20 }=\frac{-15}{-12 }$

(ii) $\frac{-3}{7}=\frac{\square }{14}=\frac{9}{\square }=\frac{-6}{\square }$

$\frac{-3}{7}$ can be written as:

$\Rightarrow \frac{-3}{7} = \frac{-3\times2}{7\times2} = \frac{-6}{14}$

$\Rightarrow \frac{-3}{7} = \frac{-3\times-3}{7\times-3} = \frac{9}{-21}$

$\Rightarrow \frac{-3}{7} = \frac{-3\times2}{7\times2} = \frac{-6}{14}$

Hence, we have

$\frac{-3}{7}=\frac{-6 }{14}=\frac{9}{-21}=\frac{-6}{14 }$

## NCERT rational numbers class 7 solutions Topic 9.4

Question:1

Answer: Yes, 5 can be written as a positive rational number $\frac{5}{1}$ , where 5 and 1 are both positive integers and denominator not equal to zero.

Answer: Five more positive rational numbers are:

$4,\ \frac{1}{3},\ 56,\ \frac{99}{98}, 5$

Question:1

Answer: Yes, $-8$ is a negative rational number because it can be written as $\frac{-8}{1}$ , where the numerator is negative integer and denominator is a positive integer.

Answer: Five more negative rational numbers are:

$-1,\ -99,\ -\frac{2}{3},\ -\frac{5}{7}, \ -27$

(i) $\frac{-2}{3}$ (ii) $\frac{5}{7}$ (iii) $\frac{3}{-5}$ (iv) 0 (v) $\frac{6}{11}$ (vi) $\frac{-2}{-9}$

Answer: (i) $\frac{-2}{3}$ here, the numerator is -2 which is negative and the denominator is 3 which is positive.

Hence, the fraction is negative.

(ii) $\frac{5}{7}$ here, the numerator is 5 which is positive and the denominator is 7 which is also positive.

Hence, the fraction is positive.

(iii) $\frac{3}{-5}$ here, the numerator is 3 which is positive and the denominator is -5 which is negative.

Hence, the fraction is negative.

(iv) 0 zero is neither a positive nor a negative number.

(v) $\frac{6}{11}$ here, the numerator is 6 which is positive and the denominator is 11 which is also positive.

Hence, the fraction is positive.

(vi) $\frac{-2}{-9}$ here, the numerator is -2 which is negative and the denominator is -9 which is also a negative integer.

Hence, the fraction is overall a positive fraction.

## NCERT Solutions for Class 7 Maths Chapter 9 Topic 9.6

Question:

(i) $\frac{-18}{45}$ (ii) $\frac{-12}{18}$

Answer: (i) Given fraction $\frac{-18}{45}$ .

We can make it in the standard form :

$\frac{-18}{45} = \frac{-6\times3}{15\times3} = \frac{-2\times3\times3}{5\times3\times3} = \frac{-2}{5}$

(i) Given fraction $\frac{-12}{18}$ .

We can make it in the standard form :

$\frac{-12}{18} = \frac{-6\times2}{9\times2} = \frac{-2\times3\times2}{3\times3\times2} = \frac{-2}{3}$

## NCERT Solutions for Maths Chapter 9 Rational Numbers Class 7 Topic 9.8

Question: Find five rational numbers between

Answer: LCM of 7 and 8 is 56.

Hence we can write given fractions as:

$\frac{-5}{7} = \frac{-5\times8}{7\times8} = \frac{-40}{56}$ and $\frac{-3}{8} = \frac{-3\times7}{8\times7} = \frac{-21}{56}$

Therefore, we can find five rational numbers between $\frac{-5}{7} and \frac{-3}{8}$ .

$\frac{-39}{56},\ \frac{-38}{56},\ \frac{-37}{56},\ \frac{-36}{56},\ and\ \frac{-35}{56}$

## NCERT Solutions for Class 7 Chapter 9 Rational Numbers Maths Exercise 9.1

Question:

–1 and 0

Answer: To find five rational numbers between $-1\ and\ 0$ we will convert each rational numbers as a denominator $5+1 =6$ , we have

$-1 = \frac{-1\times6}{6} = \frac{-6}{6}\ and\ \frac{0\times6}{6} = \frac{0}{6}$

So, we have five rational numbers between $\frac{-6}{6}\ and\ \frac{0}{6}$

$\frac{-6}{6}<\frac{-5}{6}<\frac{-4}{6}<\frac{-3}{6}<\frac{-2}{6}<\frac{-1}{6}<\frac{0}{6}$

Hence, the five rational numbers between -1 and 0 are:

$\frac{-5}{6},\frac{-4}{6},\frac{-3}{6},\frac{-2}{6}\ and\ \frac{-1}{6}.$

Question:

–2 and –1

Answer: To find five rational numbers between $-2\ and\ -1$ we will convert each rational numbers as a denominator $5+1 =6$ , we have

$-2 = \frac{-2\times6}{6} = \frac{-12}{6}\ and\ \frac{-1\times6}{6} = \frac{-6}{6}$

So, we have five rational numbers between $\frac{-12}{6}\ and\ \frac{-6}{6}$

$\frac{-12}{6}<\frac{-11}{6}<\frac{-10}{6}<\frac{-9}{6}<\frac{-8}{6}<\frac{-7}{6}<\frac{-6}{6}$

Hence, the required rational numbers are

$\frac{-11}{6},\frac{-5}{3},\frac{-3}{2},\frac{-4}{3}\ and\ \frac{-7}{6}.$

Question:

$\frac{-4}{5}and \frac{-2}{3}$

Answer: To find five rational numbers between $\frac{-4}{5}and \frac{-2}{3}$ we will convert each rational numbers with the denominator as $5\times3 =15$ , we have $\left ( \because LCM\ of\ 5\ and\ 3 = 15 \right )$

$\frac{-4}{5} = \frac{-4\times3}{5\times3} = \frac{-12}{15}\ and\ \frac{-2}{3} = \frac{-2\times5}{3\times5} = \frac{-10}{15}$

Since there is only one integer i.e., -11 between -12 and -10, we have to find equivalent rational numbers.

$\frac{-12}{15} = \frac{-12\times3}{15\times3} = \frac{-36}{45}\ and\ \frac{-10}{15} = \frac{-10\times3}{15\times3} = \frac{-30}{45}$

Now, we have five rational numbers possible:

$\therefore \frac{-36}{45}<\frac{-35}{45}<\frac{-34}{45}<\frac{-33}{45}<\frac{-32}{45}<\frac{-31}{45}<\frac{-30}{45}$

Hence, the required rational numbers are

$\frac{-7}{9},\frac{-34}{45},\frac{-11}{15},\frac{-32}{45}\ and\ \frac{-31}{45}.$

Question:

$-\frac{1}{2} and \frac{2}{3}$

Answer: To find five rational numbers between $-\frac{1}{2} and \frac{2}{3}$ we will convert each rational numbers in their equivalent numbers, we have

Making denominator as LCM(2,3)=6

that is

$\frac{-3}{6}\ and\ \frac{4}{6}$

Now, we have five rational numbers possible:

$\therefore \frac{-3}{6}<\frac{-2}{6}<\frac{-1}{6}<\frac{0}{6}<\frac{2}{6}<\frac{3}{6}<\frac{4}{6}$

Hence, the required rational numbers are

$\frac{-1}{3},\frac{-1}{6},0,\frac{1}{3}\ and\ \frac{1}{2}.$

$\frac{-3}{5}, \frac{-6}{10}, \frac{-9}{15}, \frac{-12}{20}$

$\frac{-3}{5} = \frac{-3\times1}{5\times1}$ $\ \frac{-6}{10} = \frac{-3\times2}{5\times2}$ $\frac{-9}{15} = \frac{-3\times3}{5\times3}$ $\frac{-12}{20} = \frac{-3\times4}{5\times4}$

Now, following the same pattern, we have

$\frac{-3\times5}{5\times5} = \frac{-15}{25}$ $\frac{-3\times6}{5\times6} = \frac{-18}{30}$ $\frac{-3\times7}{5\times7} = \frac{-21}{35}$ $\frac{-3\times8}{5\times8} = \frac{-24}{40}$

Hence, the required rational numbers are:

$\frac{-15}{25},\ \frac{-18}{30},\ \frac{-21}{35},and\ \frac{-24}{40}.$

Question:

$\frac{-1}{4},\frac{-2}{8}, \frac{-3}{12}....$

$\frac{-1}{4} = \frac{-1\times1}{4\times1}$ $\frac{-2}{8} = \frac{-1\times2}{4\times2}$ $\frac{-3}{12} = \frac{-1\times3}{4\times3}$

Now, following the same pattern, we have

$\frac{-1\times4}{4\times4} = \frac{-4}{16}$ $\frac{-1\times5}{4\times5} = \frac{-5}{20}$ $\frac{-1\times6}{4\times6} = \frac{-6}{24}$ $\frac{-1\times7}{4\times7} = \frac{-7}{28}$

Hence, the required rational numbers are:

$\frac{-4}{16},\ \frac{-5}{20},\ \frac{-6}{24},and\ \frac{-7}{28}.$

Question:

$\frac{-1}{6}, \frac{-2}{12}, \frac{-3}{18}, \frac{-4}{24}....$

$\frac{-1}{6} = \frac{-1\times1}{6\times1}$ $\frac{-2}{12} = \frac{-1\times2}{6\times2}$ $\frac{-3}{18} = \frac{-1\times3}{6\times3}$ $\frac{-4}{24} = \frac{-1\times4}{6\times4}$

Now, following the same pattern, we have

$\frac{-1\times5}{6\times5} = \frac{-5}{30}$ $\frac{-1\times6}{6\times6} = \frac{-6}{36}$ $\frac{-1\times7}{6\times7} = \frac{-7}{42}$ $\frac{-1\times8}{6\times8} = \frac{-8}{48}$

Hence, the required rational numbers are:

$\frac{-5}{30},\ \frac{-6}{36},\ \frac{-7}{42},and\ \frac{-8}{48}.$

Question:

$\frac{-2}{3}, \frac{2}{-3},\frac{4}{-6}, \frac{6}{-9}....$

$\frac{-2}{3} = \frac{-2\times1}{3\times1}$ $\frac{2}{-3} =\frac{2}{-3} = \frac{2\times1}{-3\times1}$ $\frac{4}{-6} = \frac{-2\times2}{3\times2}$ $\frac{-6}{9} = \frac{-2\times3}{3\times3}$

Now, following the same pattern, we have

$\frac{-2\times4}{3\times4} = \frac{-8}{12}\ or\ \frac{8}{-12}$ $\frac{-2\times5}{3\times5} = \frac{-10}{15}\ or\ \frac{10}{-15}$

$\frac{-2\times6}{3\times6} = \frac{-12}{18}\ or\ \frac{12}{-18}$ $\frac{-2\times7}{3\times7} = \frac{-14}{21}\ or\ \frac{14}{-21}$

Hence, the required rational numbers are:

$\frac{8}{-12},\ \frac{10}{-15},\ \frac{12}{-18},and\ \frac{14}{-21}.$

Question:

$\frac{-2}{7}$

Answer: $\frac{-2}{7}$ can be written as:

$\frac{-2}{7} = \frac{-2\times2}{7\times2} = \frac{-4}{14}$ $\frac{-2}{7} = \frac{-2\times3}{7\times3} = \frac{-6}{21}$

$\frac{-2}{7} = \frac{-2\times4}{7\times4} = \frac{-8}{28}$ $\frac{-2}{7} = \frac{-2\times5}{7\times5} = \frac{-10}{35}$

Hence, the required equivalent rational numbers are

$\frac{-4}{14},\frac{-6}{21}, \frac{-8}{28},\ and\ \frac{-10}{35} .$

Question:

$\frac{5}{-3}$

Answer: $\frac{5}{-3}$ can be written as:

$\frac{5}{-3} = \frac{5\times2}{-3\times2} = \frac{10}{-6}$ $\frac{5}{-3} = \frac{5\times3}{-3\times3} = \frac{15}{-9}$

$\frac{5}{-3} = \frac{5\times4}{-3\times4} = \frac{20}{-12}$ $\frac{5}{-3} = \frac{5\times5}{-3\times5} = \frac{25}{-15}$

Hence, the required equivalent rational numbers are

$\frac{10}{-6},\frac{15}{-9}, \frac{20}{-12},\ and\ \frac{25}{-20} .$

Question:

$\frac{4}{9}$

Answer: $\frac{4}{9}$ can be written as:

$\frac{4}{9} = \frac{4\times2}{9\times2} = \frac{8}{18}$ $\frac{4}{9} = \frac{4\times3}{9\times3} = \frac{12}{27}$

$\frac{4}{9} = \frac{4\times4}{9\times4} = \frac{16}{36}$ $\frac{4}{9} = \frac{4\times5}{9\times5} = \frac{20}{45}$

Hence, the required equivalent rational numbers are

$\frac{8}{18},\frac{12}{27}, \frac{16}{36},\ and\ \frac{20}{45} .$

$\frac{3}{4}$

Answer: Representation of $\frac{3}{4}$ on the number line,

$\frac{-5}{8}$

Answer: Representation of $\frac{-5}{8}$ on the number line,

Question:

$\frac{-7}{4}$

Answer: Representation of $\frac{-7}{4}$ on the number line,

$\frac{7}{8}$

Answer: Representation of $\frac{7}{8}$ on the number line,

Answer: Given TR = RS = SU and AP = PQ = QB then, we have

There are two rational numbers between A and B i.e., P and Q which are at equal distances hence,

The rational numbers represented by P and Q are:

$P =2+ \frac{1}{3} = \frac{7}{3}\ and\ Q = 2+\frac{2}{3} = \frac{8}{3}$

Also, there are two rational numbers between U and T i.e., S and R which are at equal distances hence,

The rational numbers represented by S and R are:

$S =-2+ \frac{1}{3} = \frac{-5}{3}\ and\ R = -2+\frac{2}{3} = \frac{-4}{3}$

(i) $\frac{-7}{21}\ and\ \frac{3}{9}$ (ii) $\frac{-16}{20} \ and\ \frac{20}{-25}$

(iii) $\frac{-2}{-3} \ and\ \frac{2}{3}$ (iv) $\frac{-3}{5}\ and\ \frac{-12}{20}$

(v) $\frac{8}{-5}\ and\ \frac{-24}{15}$ (vi) $\frac{1}{3}\ and\ \frac{-1}{9}$

(vii) $\frac{-5}{-9}\ and\ \frac{5}{-9}$

Answer: To compare we multiply both numbers with denominators:

(i) We have $\frac{-7}{21}\ and\ \frac{3}{9}$

$\Rightarrow \frac{-7\times9}{21\times9} = \frac{-63}{189}$

$\Rightarrow \frac{3\times21}{9\times21} = \frac{63}{189}$

$\Rightarrow \frac{-63}{189} \neq \frac{63}{189}$

Here, they are equal but are in opposite signs hence, $\frac{-7}{21}\ and\ \frac{3}{9}$ do not represent the same rational numbers.

(ii) We have $\frac{-16}{20} \ and\ \frac{20}{-25}$

$\Rightarrow \frac{-16\times-25}{20\times-25} = \frac{400}{-500}$

$\Rightarrow \frac{20\times20}{-25\times20} = \frac{400}{-500}$

$\Rightarrow \frac{400}{-500} = \frac{400}{-500}$

So, they represent the same rational number.

(iii) We have $\frac{-2}{-3} \ and\ \frac{2}{3}$

Here, Both represents the same number as these minus signs on both numerator and denominator of $\frac{-2}{-3} = \frac{2}{3}$ will cancel out and gives the positive value.

(iv) We have $\frac{-3}{5}\ and\ \frac{-12}{20}$

$\Rightarrow \frac{-3\times20}{5\times20} = \frac{-60}{100}$

$\Rightarrow \frac{-12\times5}{20\times5} = \frac{-60}{100}$

$\Rightarrow \frac{-60}{100} = \frac{-60}{100}$

So, they represent the same rational number.

(v) We have $\frac{8}{-5}\ and\ \frac{-24}{15}$

$\Rightarrow \frac{8\times15}{-5\times15} = \frac{120}{-75}$

$\Rightarrow \frac{-24\times-5}{15\times-5} = \frac{120}{-75}$

$\Rightarrow \frac{120}{-75} = \frac{120}{-75}$

So, they represent the same rational number.

(vi) We have $\frac{1}{3}\ and\ \frac{-1}{9}$

$\Rightarrow \frac{1\times9}{3\times9} = \frac{9}{27}$

$\Rightarrow \frac{-1\times3}{9\times3} = \frac{-3}{27}$

$\Rightarrow \frac{9}{27} \neq \frac{-3}{27}$

So, They do not represent the same rational number.

(vii) We have $\frac{-5}{-9}\ and\ \frac{5}{-9}$

Here, the denominators of both are the same but $-5 \neq 5$ .

So, $\frac{-5}{-9}\ and\ \frac{5}{-9}$ do not represent the same rational numbers.

(i) $\frac{-8}{6}$ (ii) $\frac{22}{25}$ (iii) $\frac{-44}{72}$ (iv) $\frac{-8}{10}$

Answer: (i) $\frac{-8}{6}$ can be written as:

$\Rightarrow \frac{-8}{6} = \frac{-8/2}{6/2}= \frac{-4}{3}$ $\left [ HCF\ of\ 8\ and\ 6\ is\ 2 \right ]$

(ii) $\frac{25}{45}$ can be written in the simplest form:

$\Rightarrow \frac{25}{45} = \frac{25/5}{45/5}= \frac{5}{9}$ $\left [ HCF\ of\ 25\ and\ 45\ is\ 5 \right ]$

(iii) $\frac{-44}{72}$ can be written as in simplest form:

$\Rightarrow \frac{-44}{72} = \frac{-44/4}{72/4}= \frac{-11}{18}$ $\left [ HCF\ of\ 44\ and\ 72\ is\ 4 \right ]$

(i) $\frac{-5}{7} \square \frac{2}{3}$ (ii) $\frac{-4}{5} \square \frac{-5}{7}$ (iii) $\frac{-7}{8} \square \frac{14}{-16}$

(iv) $\frac{-8}{5} \square \frac{-7}{4}$ (v) $\frac{1}{-3} \square \frac{-1}{4}$ (vi) $\frac{5}{-11} \square \frac{-5}{11}$

(vii) $0 \square \frac{-7}{6}$

Answer: (i) $\frac{-5}{7} \square \frac{2}{3}$

$\Rightarrow \frac{-5\times3}{7\times 3}\square \frac{2\times7}{3\times7}$

$\Rightarrow \frac{-15}{21} < \frac{14}{21}$

Hence, $\frac{-5}{7} < \frac{2}{3}$

(ii) $\frac{-4}{5} \square \frac{-5}{7}$

$\Rightarrow \frac{-4\times7}{5\times 7}\square \frac{-5\times5}{7\times5}$

$\Rightarrow \frac{-28}{35} < \frac{-25}{35}$

Hence, $\frac{-4}{5} < \frac{-5}{7}$

(iii) $\frac{-7}{8} \square \frac{14}{-16}$

$\Rightarrow \frac{-7\times-16}{8\times -16}\square \frac{14\times8}{-16\times8}$

$\Rightarrow \frac{112}{-128} = \frac{112}{-128}$

Hence, $\frac{-7}{8} = \frac{14}{-16}$

(iv) $\frac{-8}{5} \square \frac{-7}{4}$

$\Rightarrow \frac{-8\times4}{5\times 4}\square \frac{-7\times5}{4\times5}$

$\Rightarrow \frac{-32}{20} > \frac{-35}{20}$

Hence, $\frac{-8}{5} > \frac{-7}{4}$

(v) $\frac{1}{-3} \square \frac{-1}{4}$

$\Rightarrow \frac{1\times4}{-3\times 4}\square \frac{-1\times-3}{4\times-3}$

$\Rightarrow \frac{4}{-12} < \frac{3}{-12}$

Hence, $\frac{1}{-3} < \frac{1}{-4}$

(vi) $\frac{5}{-11} \square \frac{-5}{11}$

$\Rightarrow \frac{5\times11}{-11\times 11}\square \frac{-5\times-11}{11\times-11}$

$\Rightarrow \frac{55}{-121} = \frac{55}{-121}$

Hence, $\frac{5}{-11} = \frac{-5}{11}$

(vii) $0 \square \frac{-7}{6}$

Zero is always greater than every negative number.

Therefore, $0 > \frac{-7}{6}$

Question:

(i) $\frac{2}{3}, \frac{5}{2}$ (ii) $\frac{-5}{6}, \frac{-4}{3}$

(iii) $\frac{-3}{4}, \frac{2}{-3}$ (iv) $\frac{-1}{4}, \frac{1}{4}$

(v) $-3\frac{2}{7}, -3\frac{4}{5}$

Answer: (i) $\frac{2}{3}, \frac{5}{2}$

$\Rightarrow \frac{2\times2}{3\times2}, \frac{5\times3}{2\times3}$

$\Rightarrow \frac{4}{6}, \frac{15}{6}$

Since, $\frac{15}{6}> \frac{4}{6}$

So, $\frac{5}{2}> \frac{2}{3}.$

(ii) $\frac{-5}{6}, \frac{-4}{3}$

$\Rightarrow \frac{-5\times3}{6\times3}, \frac{-4\times6}{3\times6}$

$\Rightarrow \frac{-15}{18}, \frac{-24}{18}$

Since, $\frac{-15}{18}> \frac{-24}{18}$

So, $\frac{-5}{6}> \frac{-4}{3}.$

(iii) $\frac{-3}{4}, \frac{2}{-3}$

$\Rightarrow \frac{-3\times-3}{4\times-3}, \frac{2\times4}{-3\times4}$

$\Rightarrow \frac{9}{-12}, \frac{8}{-12}$

Since, $\frac{8}{-12}> \frac{9}{-12}$

So, $\frac{2}{-3}> \frac{-3}{4}$

(iv) $\frac{-1}{4}, \frac{1}{4}$

$\Rightarrow \frac{1}{4}> \frac{-1}{4}$

As each positive number is greater than its negative.

(v) $-3\frac{2}{7}, -3\frac{4}{5}$

$\Rightarrow \frac{-23}{7}, \frac{-19}{5} =\frac{-23\times5}{7\times5}, \frac{-19\times7}{5\times7}$

$\Rightarrow \frac{-115}{35} > \frac{-133}{35}$

So, $-3\frac{2}{7}> -3\frac{4}{5}$

Question:

$\frac{-3}{5}, \frac{-2}{5}, \frac{-1}{5}$

Answer: (i) Here the denominator value is the same.

Therefore, $-3<-2<-1$

Hence, the required ascending order is

$\frac{-3}{5}<\frac{-2}{5}<\frac{-1}{5}$

Question:

$\frac{-1}{3},\frac{2}{9}, \frac{-4}{3}$

Answer: Given $\frac{-1}{3},\frac{2}{9}, \frac{-4}{3}$

LCM of $3,9\ and\ 3 = 9$ .

Therefore, we have

$\frac{1\times3}{3\times3}, \frac{-2\times1}{9\times1}, \frac{-4\times3}{3\times3}$

$\Rightarrow \frac{3}{9}, \frac{-2}{9}, \frac{-12}{9}$

Since $\frac{-12}{9}<\frac{-2}{9}<\frac{3}{9}$

Hence, the required ascending order is

$\frac{-4}{3}<\frac{-2}{9}<\frac{1}{3}$

Question:

$\frac{-3}{7},\frac{-3}{2}, \frac{-3}{4}$

Answer: Given $\frac{-1}{3},\frac{2}{9}, \frac{-4}{3}$

LCM of $7,2\ and\ 4 =28$ .

Therefore, we have

$\frac{-3\times4}{7\times4}, \frac{-3\times14}{2\times14}, \frac{-3\times7}{4\times7}$

$\Rightarrow \frac{-12}{28}, \frac{-42}{28}, \frac{-21}{28}$

Since $\frac{-42}{28}<\frac{-21}{28}<\frac{-12}{28}$

Hence, the required ascending order is

$\frac{-3}{2}<\frac{-3}{4}<\frac{-3}{7}$

## NCERT Solutions for Chapter 9 Maths Class 7 Rational Numbers Topic 9.9.1

Question: Find:

Answer: For the given sum: $\frac{-13}{7}+\frac{6}{7}$

Here the denominator value is same that is 7 hence we can sum the numerator as:

$\frac{-13}{7}+\frac{6}{7}= \frac{-13+6}{7} = \frac{-7}{7} = -1$

For the given sum: $\frac{19}{5}+\left ( \frac{-7}{5} \right )$

Here also the denominator value is the same and is equal to 5 hence we can write it as:

$\frac{19}{5}+\left ( \frac{-7}{5} \right ) = \frac{19-7}{5} = \frac{12}{5}$

Question:(i)

$\frac{-3}{7}+\frac{2}{3}$

Answer: Given sum: $\frac{-3}{7}+\frac{2}{3}$

Taking LCM of 7 and 3 we get; 21

Hence we can write the sum as:

$\Rightarrow \frac{-3\times3}{7\times3}+\frac{2\times7}{3\times7}$

$\Rightarrow \frac{-9}{21}+\frac{14}{21} = \frac{5}{21}$

Question:(ii)

$\frac{-5}{6}+\frac{-3}{11}$

Answer: Given sum: $\frac{-5}{6}+\frac{-3}{11}$

Taking LCM of 6 and 11 we get; 66

Hence we can write the sum as:

$\Rightarrow \frac{-5\times11}{6\times11}+\frac{-3\times6}{11\times6}$

$\Rightarrow \frac{-55}{66}+\frac{-18}{66} = \frac{-73}{66}$

## NCERT Solutions for Chapter 9 Maths Class 7 Rational Numbers Topic 9.9.2

Question:1 What will be the additive inverse of

-3/9, -9/11, 5/7

$\frac{-3}{9} \ is \ \frac{3}{9}$

$\frac{-9}{11} \ is \ \frac{9}{11}$

$\frac{5}{7} \ is \ \frac{-5}{7}$

$(i)\frac{7}{9}-\frac{2}{5} =\frac{7 \times 5-9 \times2}{45}=\frac{17}{45} \\ (ii) 2 \frac{1}{5}-\frac{(-1)}{3}=\frac{11}{5}+\frac{1}{3}=\frac{11 \times 3+ 1 \times 5}{15}=\frac{38}{15}$

## NCERT Solutions for Class 7th Math Chapter 9 Rational Numbers Topic 9.9.3

Question:

(i) $\frac{-3}{5}\times 7$ (ii) $\frac{-6}{5}\times (-2)$

Answer: (i) $\frac{-3}{5}\times 7$

We can write the product as:

$\frac{-3}{5}\times 7 = \frac{-3}{5}\times\frac{7}{1} = \frac{-21}{5}$

(i) $\frac{-6}{5}\times (-2)$

We can write the product as:

$\frac{-6}{5}\times (-2) = \frac{-6}{5}\times\frac{-2}{1} = \frac{12}{5}$

Question:(i)

$\frac{-3}{4}\times \frac{1}{7}$

$\frac{-3}{4}\times \frac{1}{7} = \frac{-3\times1}{4\times7} = \frac{-3}{28}$

Question:(ii)

$\frac{2}{3}\times \frac{-5}{9}$

Answer: Given product: $\frac{2}{3}\times \frac{-5}{9}$

$\Rightarrow \frac{2}{3}\times \frac{-5}{9} = \frac{2\times-5}{3\times9} = \frac{-10}{27}$

## NCERT Solutions for Class 7th Math Chapter 9 Rational Numbers Topic 9.9.4

Question: What will be the reciprocal of

Answer: The reciprocal of $\frac{-6}{11}$ will be:

$1\div \frac{-6}{11} = \frac{1}{\frac{-6}{11}} =\frac{11}{-6}$

The reciprocal of $\frac{-8}{5}$ will be:

$1\div \frac{-8}{5} = \frac{1}{\frac{-8}{5}} =\frac{5}{-8}$

## NCERT Solutions for Class 7th Math Chapter 9 Rational Numbers Exercise: 9.2

Question: 1(i) Find the sum:

$\frac{5}{4}+\left (\frac{-11}{4} \right )$

Answer: Given sum: $\frac{5}{4}+\left (\frac{-11}{4} \right )$

Here the denominator is the same which is 4.

$\frac{5}{4}+\left (\frac{-11}{4} \right ) = \frac{5-11}{4} = \frac{-6}{4} = \frac{-3\times2}{2\times2} = \frac{-3}{2}$

Question: 1(ii) Find the sum:

$\frac{5}{3}+\frac{3}{5}$

Answer: Given sum: $\frac{5}{3}+\frac{3}{5}$

Here the LCM of 3 and 5 is 15.

Hence, we can write the sum as:

$\Rightarrow \frac{5}{3}+\frac{3}{5} = \frac{5\times5}{3\times5}+\frac{3\times3}{5\times3}$

$\Rightarrow \frac{25}{15}+\frac{9}{15} = \frac{34}{15}$

Question: 1(iii) Find the sum:

$\frac{-9}{10}+\frac{22}{15}$

Answer: Given sum: $\frac{-9}{10}+\frac{22}{15}$

Taking the LCM of 10 and 15, we have 30

$\Rightarrow \frac{-9\times3}{10\times3}+\frac{22\times2}{15\times2}$

$\Rightarrow \frac{-27}{30}+\frac{44}{30} = \frac{-27+44}{30} = \frac{17}{30}$

Question: 1(iv) Find the sum:

$\frac{-3}{-11}+\frac{5}{9}$

Answer: Given sum: $\frac{-3}{-11}+\frac{5}{9}$

Taking LCM of 11 and 9 we have,

$\Rightarrow \frac{-3\times9}{-11\times9}+\frac{5\times11}{9\times11}$

$\Rightarrow \frac{-27}{-99}+\frac{55}{99}=\frac{27+55}{99} = \frac{82}{99}$

Question: 1(v) Find the sum :

$\frac{-8}{19}+\frac{(-2)}{57}$

Answer: Given sum: $\frac{-8}{19}+\frac{(-2)}{57}$

Taking LCM of 19 and 57, we have 57

We can write the sum as:

$\frac{-8\times3}{57}+\frac{(-2)}{57} = \frac{-24-2}{57} = \frac{-26}{57}$

Question: 1(vi) Find the sum:

$\frac{-2}{3}+0$

Answer: Given sum: $\frac{-2}{3}+0$

Adding any number to zero we get, the number itself

Hence, $\frac{-2}{3}+0 = \frac{-2}{3}$

Question: 1(vii) Find the sum:

$-2\frac{1}{3}+4\frac{3}{5}$

Answer: Given the sum: $-2\frac{1}{3}+4\frac{3}{5}$

Taking the LCM of 3 and 5 we have: 15

$\Rightarrow \frac{-7\times5}{3\times5}+\frac{23\times3}{5\times3} = \frac{-35}{15}+\frac{69}{15} = \frac{34}{15}$

Question: 2(i) Find

$\frac{7}{24} -\frac{17}{36}$

Answer: Given sum: $\frac{7}{24} -\frac{17}{36}$

We have LCM of 24 and 36 will be, 72

Hence,

$\Rightarrow \frac{7\times3}{24\times3} -\frac{17\times2}{36\times2} = \frac{21}{72} - \frac{34}{72} = \frac{-13}{72}$

Question: 2(ii) Find

$\frac{5}{63}-\left (\frac{-6}{21} \right )$

Answer: Given $\frac{5}{63}-\left (\frac{-6}{21} \right )$ :

LCM of 63 and 21 is 63,

Then we have;

$\Rightarrow \frac{5}{63}-\left (\frac{-6\times3}{21\times3} \right ) = \frac{5+18}{63} =\frac{23}{63}$

Question: 2(iii) Find

$\frac{-6}{13}-\left (\frac{-7}{15} \right )$

Answer: Given $\frac{-6}{13}-\left (\frac{-7}{15} \right )$ :

We have, LCM of 13 and 15 is 195.

Then,

$\Rightarrow \frac{-6\times15}{13\times15}-\left (\frac{-7\times13}{15\times13} \right ) = \frac{-90}{195} - \left ( \frac{-91}{195} \right ) = \frac{1}{195}$

Question: 2(iv) Find

$\frac{-3}{8}-\frac{7}{11}$

Answer: Given $\frac{-3}{8}-\frac{7}{11}$ :

LCM of 8 and 11 is 88, then

$\Rightarrow \frac{-3}{8}-\frac{7}{11} = \frac{-3\times11}{8\times11} - \frac{7\times8}{11\times8}$

$\Rightarrow \frac{-33}{88} - \frac{56}{88} = \frac{-33-56}{88} = \frac{-89}{88}$

Question: 2(v) Find

$-2\frac{1}{9}-6$

Answer: Given: $-2\frac{1}{9}-6$

$\Rightarrow -2\frac{1}{9}-6 = \frac{-19}{9} - 6 = \frac{-19}{9} - \frac{6}{1}$

LCM of 9 and 1 will be, 9

Hence,

$\Rightarrow \frac{-19}{9} - \frac{6}{1} = \frac{-19}{9} - \frac{6\times9}{1\times9}$

$\Rightarrow \frac{-19}{9} - \frac{54}{9} = \frac{-73}{9}.$

Question:

$\frac{9}{2}\times\left ( \frac{-7}{4} \right )$

Answer: Given product: $\frac{9}{2}\times\left ( \frac{-7}{4} \right )$

$\Rightarrow \frac{9}{2}\times\left ( \frac{-7}{4} \right ) = \frac{9\times(-7)}{2\times4}$

$\Rightarrow \frac{-63}{8}$

Question: 3(ii) Find the product:

$\frac{3}{10}\times (-9)$

Answer: Given $\frac{3}{10}\times (-9)$

$\Rightarrow \frac{3}{10}\times\frac{-9}{1} = \frac{3\times(-9)}{10\times1}$

So the value

$\Rightarrow \frac{-27}{10}$

Question: 3(iii) Find the product:

$\frac{-6}{5}\times \frac{9}{11}$

Answer: Given product: $\frac{-6}{5}\times \frac{9}{11}$

$\Rightarrow \frac{-6}{5}\times \frac{9}{11} = \frac{-6\times9}{5\times11}$

The value of given product is

$\Rightarrow \frac{-54}{55}$

Question: 3(iv) Find the product:

$\frac{3}{7}\times \left (\frac{-2}{5} \right )$

Answer: Given product $\frac{3}{7}\times \left (\frac{-2}{5} \right )$

$\Rightarrow \frac{3}{7}\times(\frac{-2}{5}) = \frac{3\times(-2)}{7\times5} = \frac{-6}{35}$

Question:

$\frac{3}{11}\times \frac{2}{5}$

Answer: Given product: $\frac{3}{11}\times \frac{2}{5}$

$\Rightarrow \frac{3}{11}\times \frac{2}{5} = \frac{3\times2}{11\times5} = \frac{6}{55}$

Question: 3(vi) Find the product:

$\frac{3}{-5}\times \frac{-5}{3}$

Answer: Given product: $\frac{3}{-5}\times \frac{-5}{3}$

$\Rightarrow \frac{3}{-5}\times \frac{-5}{3} = \frac{3\times-5}{-5\times3} = \frac{-15}{-15} =1$

Question:

$(-4)\div \frac{2}{3}$

Answer: Given: $(-4)\div \frac{2}{3}$

Dividing $-4$ by $\frac{2}{3}$ , we get

$\Rightarrow \frac{-4}{\frac{2}{3}} =\frac{-4\times3}{2} = \frac{-12}{2} = \frac{-6}{1}$

Question: 4(ii) Find the value of:

$\frac{-3}{5}\div 2$

Answer: Given $\frac{-3}{5}\div 2$

Dividing $\frac{-3}{5}$ with 2 we get,

$\Rightarrow \frac{\frac{-3}{5}}{2} = \frac{-3}{10}$

Question: 4(iii) Find the value of:

$\frac{-4}{5}\div (-3)$

Answer: Given: $\frac{-4}{5}\div (-3)$

So, dividing $\frac{-4}{5}$ with -3, we get

$\Rightarrow \frac{\frac{-4}{5}}{-3} = \frac{-4}{5\times-3} = \frac{-4}{-15} = \frac{4}{15}$

Question: 4(iv) Find the value of:

$\frac{-1}{8}\div \frac{3}{4}$

Answer: Given: $\frac{-1}{8}\div \frac{3}{4}$

Simplifying it:

$\Rightarrow \frac{-1}{8}\times\frac{4}{3} = \frac{-1\times4}{8\times3}$

$\Rightarrow \frac{-4}{24} = \frac{-1}{6}$

Question:

$\frac{-2}{13}\div \frac{1}{7}$

Answer: Given: $\frac{-2}{13}\div \frac{1}{7}$

Simplifying it: we get

$\Rightarrow \frac{-2}{13}\times\frac{7}{1} = \frac{-14}{13}$

Question: 4(vi) Find the value of:

$\frac{-7}{12}\div \left (\frac{-2}{3} \right )$

Answer: Given: $\frac{-7}{12}\div \left (\frac{-2}{3} \right )$

Simplifying it: we get

$\Rightarrow \frac{-7}{12}\times\frac{3}{-2} = \frac{-7\times3}{12\times-2} = \frac{-21}{-24} = \frac{7\times3}{8\times3} = \frac{7}{8}$

Question: 4(vii) Find the value of:

Answer: Given: $\frac{3}{13}\div \left (\frac{-4}{65} \right )$

Simplifying it: we get

$\\\Rightarrow \frac{3}{13}\div \left (\frac{-4}{65} \right ) = \frac{3}{13}\times\frac{65}{-4} = \frac{3\times65}{13\times-4} \\since\ 13\times5=65 \\\ \frac{3}{13}\times\frac{65}{-4} =\frac{15}{-4}$

## Rational Numbers Class 7 Maths Chapter 9-Topics

• Need For Rational Numbers
• What Are The Rational Numbers?
• Positive And Negative Rational Numbers
• Rational Numbers On A Number Line
• Rational Numbers In A Standard Form
• Comparison Of Rational Numbers
• Rational Numbers Between Two Rational Numbers
• Operations On Rational Numbers

### NCERT Solutions for Class 7 Maths Chapter Wise

 Chapter No. Chapter Name Chapter 1 Integers Chapter 2 Fractions and Decimals Chapter 3 Data Handling Chapter 4 Simple Equations Chapter 5 Lines and Angles Chapter 6 The Triangle and its Properties Chapter 7 Congruence of Triangles Chapter 8 Comparing quantities Chapter 9 Rational Numbers Chapter 10 Practical Geometry Chapter 11 Perimeter and Area Chapter 12 Algebraic Expressions Chapter 13 Exponents and Powers Chapter 14 Symmetry Chapter 15 Visualising Solid Shapes

### NCERT Solutions for Class 7 Subject Wise

 NCERT Solutions for Class 7 Maths NCERT Solutions for Class 7 Science

• ### You will study the different types of numbers which you should know in NCERT Class 7 Mathematics book .

• You will also learn addition, multiplication, subtraction, and division of rational numbers.
• You will also get solutions to the practice questions given below every topic which will give you conceptual clarity.
• You should practice all the NCERT questions including examples. If you facing difficulties in doing so, you can take help from the NCERT solutions for Class 7 Maths chapter 9 Rational Numbers.

Happy learning!!!

Also Check NCERT Books and NCERT Syllabus here:

1. What is rational number?

A number can be expressed in the form of p/q, where p and q are integers and q is not equal to 0 is called a rational number. Students can deeper understanding of rational number in class 7 math chapter 9. You can download rational numbers class 7 pdf to study both offline and online mode.

2. How do you perform operations with rational numbers?
• For addition and subtraction, find a common denominator, perform the operation on the numerators, and keep the denominator the same.
• For multiplication, multiply the numerators and denominators separately.
• For division, multiply by the reciprocal of the second number (divisor) and follow the multiplication rule.
3. How many exercises in NCERT solution Class 7 Maths chapter 9?

There are 2 exercises in NCERT solution Class 7 Maths chapter 9.

Rational Numbers Exercise 9.1- 10 questions

Rational Numbers Exercise 9.2- 4 questions

4. How do you convert a recurring decimal into a fraction?
• To convert a recurring decimal into a fraction, represent the recurring part as 'x' and subtract it from the whole decimal.
• Solve for 'x' to get an equation. Multiply both sides by the appropriate power of 10 to eliminate the recurring part.
• This will give you an equation that you can solve to find the fraction equivalent of the recurring decimal.

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 Option 1) 2.45×10−3 kg Option 2)  6.45×10−3 kg Option 3)  9.89×10−3 kg Option 4) 12.89×10−3 kg

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##### Gynaecologist

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.

4 Jobs Available
##### Paediatrician

A career as paediatrician has emerged as one of India's most popular career choices. By choosing a career as paediatrician, not only in India but also overseas, one can find lucrative work profiles as demand for talented and professional paediatricians is increasing day by day. If you are passionate about children and have the patience to evaluate and diagnose their issues, you may have a good career as paediatricians. Paediatricians take care of children's physical, mental and emotional health from infancy to adolescence.

3 Jobs Available
##### Oncologist

An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.

3 Jobs Available
##### Surgical Technologist

When it comes to an operation theatre, there are several tasks that are to be carried out before as well as after the operation or surgery has taken place. Such tasks are not possible without surgical tech and surgical tech tools. A single surgeon cannot do it all alone. It’s like for a footballer he needs his team’s support to score a goal the same goes for a surgeon. It is here, when a surgical technologist comes into the picture. It is the job of a surgical technologist to prepare the operation theatre with all the required equipment before the surgery. Not only that, once an operation is done it is the job of the surgical technologist to clean all the equipment. One has to fulfil the minimum requirements of surgical tech qualifications.

3 Jobs Available
##### Ophthalmic Medical Technician

Ophthalmic technician careers are one of the booming careers option available in the field of healthcare. Being a part of this field as an ophthalmic medical technician can provide several career opportunities for an individual. With advancing technology the job of individuals who opt for a career as ophthalmic medical technicians have become of even more importance as he or she is required to assist the ophthalmologist in using different types of machinery. If you want to know more about the field and what are the several job opportunities, work environment, just about anything continues reading the article and all your questions shall be answered.

3 Jobs Available
##### Actor

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.

4 Jobs Available
##### Acrobat

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available
##### Video Game Designer

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages. Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available
##### Talent Agent

The career as a Talent Agent is filled with responsibilities. A Talent Agent is someone who is involved in the pre-production process of the film. It is a very busy job for a Talent Agent but as and when an individual gains experience and progresses in the career he or she can have people assisting him or her in work. Depending on one’s responsibilities, number of clients and experience he or she may also have to lead a team and work with juniors under him or her in a talent agency. In order to know more about the job of a talent agent continue reading the article.

If you want to know more about talent agent meaning, how to become a Talent Agent, or Talent Agent job description then continue reading this article.

3 Jobs Available

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available
##### Music Teacher

Career as a Music Teacher is a fun and exciting job if you are skilled and passionate about this career. A Music Teacher is responsible for teaching students music, instruments, techniques, technology, singing, and many more. He or she helps students to analyze musical works, and concepts of music and assigns and evaluates lessons.

2 Jobs Available
##### Producer

An individual who is pursuing a career as a producer is responsible for managing the business aspects of production. They are involved in each aspect of production from its inception to deception. Famous movie producers review the script, recommend changes and visualise the story.

They are responsible for overseeing the finance involved in the project and distributing the film for broadcasting on various platforms. A career as a producer is quite fulfilling as well as exhaustive in terms of playing different roles in order for a production to be successful. Famous movie producers are responsible for hiring creative and technical personnel on contract basis.

2 Jobs Available
##### Choreographer

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available
##### Copy Writer

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.

5 Jobs Available
##### Editor

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available
##### Journalist

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available
##### News Anchor

A career as news anchor requires to be working closely with reporters to collect information, broadcast newscasts and interview guests throughout the day. A news anchor job description is to track the latest affairs and present news stories in an insightful, meaningful and impartial manner to the public. A news anchor in India needs to be updated on the news of the day. He or she even works with the news director to pick stories to air, taking into consideration the interests of the viewer.

3 Jobs Available
##### Publisher

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available
##### Vlogger

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. Ever since internet cost got reduced the viewership for these types of content has increased on a large scale. Therefore, the career as vlogger has a lot to offer. If you want to know more about the career as vlogger, how to become a vlogger, so on and so forth then continue reading the article. Students can visit Jamia Millia Islamia, Asian College of Journalism, Indian Institute of Mass Communication to pursue journalism degrees.

3 Jobs Available
##### Videographer

Careers in videography are art that can be defined as a creative and interpretive process that culminates in the authorship of an original work of art rather than a simple recording of a simple event. It would be wrong to portrait it as a subcategory of photography, rather photography is one of the crafts used in videographer jobs in addition to technical skills like organization, management, interpretation, and image-manipulation techniques. Students pursue Visual Media, Film, Television, Digital Video Production to opt for a videographer career path. The visual impacts of a film are driven by the creative decisions taken in videography jobs. Individuals who opt for a career as a videographer are involved in the entire lifecycle of a film and production.

2 Jobs Available
##### SEO Analyst

An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.

2 Jobs Available
##### Gemologist

A career as a gemologist is as magnificent and sparkling as gemstones. A gemologist is a professional who has knowledge and understanding of gemology and he or she applies the same knowledge in his everyday work responsibilities. He or she grades gemstones using various equipment and determines its worth. His or her other work responsibilities involve settling gemstones in jewellery, polishing and examining it.

4 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### Production Manager

Production Manager Job Description: A Production Manager is responsible for ensuring smooth running of manufacturing processes in an efficient manner. He or she plans and organises production schedules. The role of Production Manager involves estimation, negotiation on budget and timescales with the clients and managers.

3 Jobs Available
##### Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

2 Jobs Available
##### Commercial Manager

A Commercial Manager negotiates, advises and secures information about pricing for commercial contracts. He or she is responsible for developing financial plans in order to maximise the business's profitability.

2 Jobs Available
##### QA Manager

Quality Assurance Manager Job Description: A QA Manager is an administrative professional responsible for overseeing the activity of the QA department and staff. It involves developing, implementing and maintaining a system that is qualified and reliable for testing to meet specifications of products of organisations as well as development processes.

2 Jobs Available
##### Reliability Engineer

Are you searching for a Reliability Engineer job description? A Reliability Engineer is responsible for ensuring long lasting and high quality products. He or she ensures that materials, manufacturing equipment, components and processes are error free. A Reliability Engineer role comes with the responsibility of minimising risks and effectiveness of processes and equipment.

2 Jobs Available
##### Safety Manager

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available
##### ITSM Manager

ITSM Manager is a professional responsible for heading the ITSM (Information Technology Service Management) or (Information Technology Infrastructure Library) processes. He or she ensures that operation management provides appropriate resource levels for problem resolutions. The ITSM Manager oversees the level of prioritisation for the problems, critical incidents, planned as well as proactive tasks.

3 Jobs Available
##### Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### IT Consultant

An IT Consultant is a professional who is also known as a technology consultant. He or she is required to provide consultation to industrial and commercial clients to resolve business and IT problems and acquire optimum growth. An IT consultant can find work by signing up with an IT consultancy firm, or they can work on their own as independent contractors and select the projects they want to work on.

2 Jobs Available
##### Data Architect

A Data Architect role involves formulating the organisational data strategy. It involves data quality, flow of data within the organisation and security of data. The vision of Data Architect provides support to convert business requirements into technical requirements.

2 Jobs Available
##### AI Data Analyst

An AI Data Analyst is responsible for procuring, preparing, cleansing and modelling data utilising machine learning models and new analytical methods. He or she designs and creates data reports in order to provide support to stakeholders to make better decisions.

2 Jobs Available
##### Automation Test Engineer

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process.

2 Jobs Available
##### UX Architect

A UX Architect is someone who influences the design processes and its outcomes. He or she possesses a solid understanding of user research, information architecture, interaction design and content strategy.

2 Jobs Available