RBSE Solutions for Class 7 Maths Chapter 4 Rational Numbers In Text Exercise is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers In Text Exercise.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 4 |

Chapter Name |
Rational Numbers |

Exercise |
In Text Exercise |

Number of Questions |
15 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers In Text Exercise

**(Page 50)
**Question

Think and tell is \(\frac { -3 }{ 7 }\) a rational (RBSESolutions.com) number?

Solution:

Yes, \(\frac { -3 }{ 7 }\) is a negative rational number.

Question

Think is \(\frac { -3 }{ -5 }\) a rational number?

Solution:

Yes, \(\frac { -3 }{ -5 }\) is a rational number (RBSESolutions.com) because every fraction is a rational number.

**Do and Learn**

**(Page 50)**

Question

Write the rational numbers in which :

(1) Numerator is a negative integer (RBSESolutions.com) and denominator is a positive integer.

Solution:

\(\frac { -2 }{ 3 } ,\frac { -3 }{ 4 } ,\frac { -11 }{ 15 } ,\quad …………\)

(2) Numerator is a positive integer and denominator is a negative integer.

Solution:

\(\frac { 13 }{ -17 } ,\frac { 2 }{ -3 } ,\frac { 3 }{ -5 } ,\quad …………\)

(3) Both numerator and (RBSESolutions.com) denominator are positive integers.

Solution:

\(\frac { 3 }{ 8 } ,\frac { 4 }{ 11 } ,\frac { 4 }{ 9 } ,\quad …………\)

(4) Both numerator and denominator are negative integers.

\(\frac { -2 }{ -3 } ,\frac { -4 }{ -5 } ,\frac { -12 }{ -13 } ,\quad …………\)

**(Page 51)**

Question

Fill in the blanks :

Solution:

On multiplying (RBSESolutions.com) numerator and denominator by 2 in \(\frac { 2 }{ 3 }\).

On multiplying Nr and Dr both by 4 in \(\frac { 2 }{ 3 }\)

On multiplying Nr and Dr both (RBSESolutions.com) by 8 in \(\frac { 2 }{ 3 }\)

From (1), (2), (3) and (4)

On multiplying (RBSESolutions.com) Nr and Dr both by 2 in \(\frac { 5 }{ 7 }\)

On multiplying Nr and Dr both by 5 in \(\frac { 5 }{ 7 }\)

On multiplying Nr and Dr both (RBSESolutions.com) by 9 in \(\frac { 5 }{ 7 }\)

On multiplying Nr and Dr both by 20 in \(\frac { 5 }{ 7 }\)

On (RBSESolutions.com) dividing Nr and Dr both by 5 in \(\frac { 25 }{ 50 }\)

On multiplying both Nr and Dr by 25 in \(\frac { 25 }{ 50 }\)

On multiplying Nr and Dr both (RBSESolutions.com) by 3 in \(\frac { 25 }{ 50 }\)

On multiplying Nr and Dr by 10 in \(\frac { 25 }{ 50 }\)

**(Page 52)**

Question 1

Write three positive (RBSESolutions.com) rational numbers.

Solution:

Three positive rational numbers are \(\frac { 2 }{ 3 }\), \(\frac { 3 }{ 7 }\), \(\frac { 5 }{ 8 }\)

Question 2

Write two negative rational numbers.

Solution:

Three negative rational numbers are –\(\frac { -3 }{ 7 }\), \(\frac { -1 }{ 3 }\)

Question 3

Is –\(\frac { -15 }{ -1 }\) a positive (RBSESolutions.com) rational number? (Justify the answer)

Solution:

We know that \(\frac { -15 }{ -1 }\) = –\(\frac { 15 }{ 1 }\),

where Nr and Dr both are positive.

So, = –\(\frac { -15 }{ -1 }\) is a positive rational number.

Question 4

Is – 7 a negative rational number? (Justify the answer)

Solution:

we know -7 = \(\frac { -7 }{ 1 }\) ,

where – 7 is negative and 1 is a positive integer.

∴ – 7 is a negative rational number.

Question 5

Which of the following (RBSESolutions.com) numbers are positive rational numbers?

Solution:

Positive rational numbers are

**(Page 53)**

Question

Denote the following rational (RBSESolutions.com) numbers on number line –

Solution:

(i)

Here 4 equal parts are done between -1 and -2. Taking 1 more part from it, In left side of 0 ?

This total part represents \(\frac { -5 }{ 4 }\) on number line.

Here 2 equal parts are done (RBSESolutions.com) between -3 and – 4. Taking 1 more part from it in left side from 0, this total part represents \(\frac { -7 }{ 2 }\).

Here 3 equal parts are done between – 3 and – 4 taking 2 more parts from it, in left side of 0, this total part represents \(\frac { -11 }{ 3 }\).

Here 5 equal parts are done (RBSESolutions.com) between 0 and 5. Taking 2 parts from it, in right side of 0, this total part represents \(\frac { 2 }{ 5 }\).

Here 3 equal parts are done between 1 and 2. Taking 1 more part from it, in right side of 0, This total part represents \(\frac { 4 }{ 3 }\) on number line.

**(Page 54)**

Question

Convert the following in to (RBSESolutions.com) the simplest form :

Solution:

**(Page 55)**

Question

Compare the (RBSESolutions.com) numbers \(\frac { -3 }{ 4 }\) & \(\frac { -2 }{ 3 }\) and \(\frac { -1 }{ 3 }\) & \(\frac { -1 }{ 5 }\).

Solution:

Because on number (RBSESolutions.com) line \(\frac { -3 }{ 4 }\), \(\frac { -2 }{ 3 }\) are in left side of 0.

∴ \(\frac { -2 }{ 3 }\) greater than \(\frac { -3 }{ 4 }\)

Because on number line \(\frac { -1 }{ 3 }\) and \(\frac { -1 }{ 5 }\) are in Left side of 0,

∴\(\frac { -1 }{ 5 }\) is greater than\(\frac { -1 }{ 3 }\)

∴ \(\frac { -1 }{ 5 }\) > \(\frac { -1 }{ 3 }\)

**(Page 55)**

Question

Which rational number (RBSESolutions.com) is greater?

Solution:

(1) L.C.M of 8 and 7 = 8 x 7 = 56

(2)L.C.M of 5 and 3 = 5 x 3 = 15

(3) L.C.M of 6 and 8 = 24

**(Page 56)**

Question

\(\frac { 4 }{ -9 }\) and \(\frac { -20 }{ 45 }\) denote same (RBSESolutions.com) rational number?

Solution:

Yes, these represent the same rational number.

**(Page 57)**

Question

(i) Find five rational numbers (RBSESolutions.com) between \(\frac { -5 }{ 7 }\) and \(\frac { -3 }{ 8 }\)

(ii) Find five rational numbers between \(\frac { -5 }{ 3 }\) and \(\frac { -8 }{ 7 }\)

Solution:

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