Contents

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 9 |

Chapter Name |
Rational Numbers |

Exercise |
Ex 9.1, Ex 9.2. |

Number of Questions Solved |
14 |

Category |
NCERT Solutions |

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

### Chapter 9 Rational Numbers Exercise 9.1

**Ex 9.1 Class 7 Maths Question 1.**

List five rational numbers between

**(i)** -1 and 0

**(ii)** -2 and -1

**(iii)** \(\frac { -4 }{ 5 } \) and \(\frac { -2 }{ 3 } \)

**(iv)** –\(\frac { 1 }{ 2 } \) and \(\frac { 2 }{ 3 } \)

**Solution:
**

**Ex 9.1 Class 7 Maths Question 2.**

Write four more rational numbers in each of the following patterns :

**Solution:
**

**Ex 9.1 Class 7 Maths Question 3.**

Give four rational numbers equivalent to

**(i)** \(\frac { -2 }{ 7 } \)

**(ii)** \(\frac { 5 }{ -3 } \)

**(iii)** \(\frac { 4 }{ 9 } \)

**Solution:
**

**Ex 9.1 Class 7 Maths Question 4.**

Draw the number line and represent the following rational numbers on it :

**(i)** \(\frac { 3 }{ 4 } \)

**(ii)** \(\frac { -5 }{ 8 } \)

**(iii)** \(\frac { -7 }{ 4 } \)

**(iv)** \(\frac { 7 }{ 8 } \)

**Solution:**

**(i)** In order to represent \(\frac { 3 }{ 4 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P representing 3 on the number line as shown. Now, divide the segment OP into four equal parts. Let A, B, C be the points of division so that OA = AB =BC = CP. By construction, OA is three- fourth of OP. So, A represents the rational number \(\frac { 3 }{ 4 } \)

**(ii)** In order to represent \(\frac { -5 }{ 8 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P representing -5 on it as shown. Now, divide the segment OP into eight equal parts. Let A, B, C, D, E, F, G be the points of division such that OA = AB = BC = CD = DE = EF = FG = GP. By construction, OA is one-eighth of OP. So, A represents the rational number \(\frac { -5 }{ 8 } \).

**(iii)** In order to represent \(\frac { -7 }{ 4 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark a point P to represent -7 on the number line. Now,divide the segment OP into 4 equal parts. Let A, B, C be the points of division so that OA = AB = BC = CP. By construction, OA is one-fourth of OP. Therefore, A represents the rational number \(\frac { -7 }{ 4 } \).

**(iv)** In order to represent \(\frac { 7 }{ 8 } \) on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P to represent 7 on the number line. Now, divide the segment OP into 8 equal parts. Let A, B, C, D, E, F, G be the points of division such that OA = AB = BC = CD = DE = EF = FG = GP. By construction, OA is one-eighth of OP. Therefore, A represents the rational number \(\frac { 7 }{ 8 } \).

**Ex 9.1 Class 7 Maths Question 5.**

The points P, Q, R, S, T, U, A, and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R, and S.

**Solution:
**

**Ex 9.1 Class 7 Maths Question 6.**

Which of the following pairs represents the same rational number?

**Solution:
**

**Ex 9.1 Class 7 Maths Question 7.**

Rewrite the following rational numbers in the simplest form :

**(i)** \(\frac { -8 }{ 6 } \)

**(ii)** \(\frac { 25 }{ 45 } \)

**(iii)** \(\frac { -44 }{ 72 } \)

**(iv)** \(\frac { -8 }{ 10 } \)

**Solution:
**

**Ex 9.1 Class 7 Maths Question 8.**

Fill in the boxes with the correct symbol out of >, <, and =.

**Solution:**

**(i)** Clearly, \(\frac { -5 }{ 7 } \) is a negative rational number and \(\frac { 2 }{ 3 } \) is a positive rational number. We know that every negative rational number is less than every positive rational number. Therefore,

**(ii)** Clearly, denominators of the given rational numbers are positive. The denominators are 5 and 7. Their L.C.M. is 35. So, we first express each rational number with 35 as a common denominator.

**(iii)** First- we write each one of the given rational numbers with a positive denominator.

Clearly, denominator of \(\frac { -7 }{ 8 } \) is positive.

The denominator of \(\frac { 14 }{ -16 } \) is negative.

So, we express it with a positive denominator as follows:

**(iv)** Clearly, the denominators of the given rational numbers are positive. The denominators are 5 and 4.

Their L.C.M. is 20. So, we first express each rational number with 20 as a common denominator.

**(v)** First we write each one of the given rational numbers with a positive denominator.

Clearly, denominator of \(\frac { 1 }{ -3 } \) is negative.

So, expressing it with a positive denominator as follows:

**(vi)** First we write each one of the given rational numbers with a positive denominator.

**(vii)** Since every negative rational number is less than 0,

**Ex 9.1 Class 7 Maths Question 9.**

Which is greater in each of the following :

**(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\(\frac { 4 }{ 5 } \)

**Solution:
**

**Ex 9.1 Class 7 Maths Question 10.**

Write the following rational numbers in ascending order :

**Solution:
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### Chapter 9 Rational Numbers Exercise 9.2

**Ex 9.2 Class 7 Maths Question 1.**

Find the sum :

**Solution:
**

**Ex 9.2 Class 7 Maths Question 2.**

Find :

**Solution:
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**Ex 9.2 Class 7 Maths Question 3.**

Find the product :

**Solution:
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**Ex 9.2 Class 7 Maths Question 4.**

Find the value of :

**Solution:
**

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