RBSE Solutions for Class 7 Maths Chapter 4 Rational Numbers Ex 4.1 is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers Exercise 4.1.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 4 |

Chapter Name |
Rational Numbers |

Exercise |
Ex 4.1 |

Number of Questions |
10 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers Ex 4.1

Question 1

Write five rational numbers equivalent to (RBSESolutions.com) the following ratinal numbers

Solution:

(i) Five equivalent rational numbers of -[latex]\frac { 2 }{ 3 }[/latex] are

(ii) Five equivalent rational (RBSESolutions.com) numbers of [latex]\frac { 1 }{ 5 }[/latex] are

(iii) Five equivalent rational (RBSESolutions.com) numbers of [latex]\frac { -5 }{ 3 }[/latex] are

(iv) Five equivalent rational (RBSESolutions.com) numbers of [latex]\frac { 4 }{ -9 }[/latex] are

.

Question 2

Write three such (RBSESolutions.com) rational numbers equivalent to [latex]\frac { -5 }{ 12 }[/latex] in which the denominator is 60, – 96 and 108.

Solution:

Question 3

Write three such rational (RBSESolutions.com) numbers equivalent to [latex]\frac { -3 }{ 7 }[/latex] in which the numerator is 24, – 60 and 75.

Solution:

Question 4

Write the following rational numbers in the (RBSESolutions.com) simplest from (standard forms) :

Solution:

Question 5

Represent the following rational numbers (RBSESolutions.com) on number line :

Solution:

(i) We know that [latex]\frac { 3 }{ 5 }[/latex] is greater than 0, so [latex]\frac { 3 }{ 5 }[/latex] will be in between 0 and 1.

Now to represent [latex]\frac { 3 }{ 5 }[/latex] on number line, the distance between 0 and S is divided in 5 equal parts and take three parts from it to mark point P. This way point P represents point [latex]\frac { 3 }{ 5 }[/latex] .

(ii) We know (RBSESolutions.com) that [latex]\frac { 7 }{ 8 }[/latex] is greater than 0 and less than 1.

∴ [latex]\frac { 7 }{ 8 }[/latex] will be in between 0 and 1.

Now to represent [latex]\frac { 7 }{ 8 }[/latex] on number line, distance between 0 and 1 is divided in 8 equal parts and take 7 parts from it to mark point P. Thus point P represent point [latex]\frac { 7 }{ 8 }[/latex].

(iii) We know that [latex]\frac { -8 }{ 3 }[/latex] or -2[latex]\frac { 2 }{ 3 }[/latex], is greater than -3 and less than – 2 so [latex]\frac { -8 }{ 3 }[/latex], will be in between -2 and – 3.

Now on number line, the (RBSESolutions.com) distance between – 2 and – 3 divided in 3 equal parts and take 2 parts from it to mark point P. This way point P represents point [latex]\frac { -8 }{ 3 }[/latex].

(iv) We know that -2[latex]\frac { 1 }{ 2 }[/latex] or [latex]\frac { -5 }{ 2 }[/latex], is greater from – 3 and less than – 2 so [latex]\frac { -5 }{ 2 }[/latex] will be in between – 2 and -3.

Now to represent [latex]\frac { -5 }{ 2 }[/latex] on number line, the distance between -2 and -3 is divided in 2 equal parts and take one part from it to mark point P.

This way point P represent (RBSESolutions.com) the point -[latex]\frac { 5 }{ 2 }[/latex] ( -2[latex]\frac { 1 }{ 2 }[/latex]) or number line.

(v) We know that [latex]\frac { 5 }{ 7 }[/latex] is greater than 0 and less than 1.

[latex]\frac { 5 }{ 7 }[/latex], will be in between 1 and 1.

Now to represent [latex]\frac { 5 }{ 7 }[/latex] on number line, the distance between 0 and 1 is divided in 7 equal parts and take 5 parts to make point P. This way point P

represents [latex]\frac { 5 }{ 7 }[/latex] on number line.

Question 6

Choose the correct (RBSESolutions.com) sign from <, >, = and fill in the blanks :

Solution:

(i) We know that positive rational numbers are greater than negative rational numbers

(ii) L.C.M. of (RBSESolutions.com) denominator 4 and 3 is 12

(iii) L.C.M. of (RBSESolutions.com) denominator – 5 and 3 is 15

(iv) L.C.M. of 7 and 2 is 14

(vi) We know that negative rational (RBSESolutions.com) numbers are smaller than positive rational number.

Question 7

Write five rational numbers between fol-lowing rational numbers :

Solution:

We know that integers (RBSESolutions.com) between -9 and -3 are

⇒ -8 < -7 < -6 < -5 < -4

∴ Five rational numbers between – 9 and – 3 will be:

We know that integers (RBSESolutions.com) between 0 and -6 are

∴ Five rational numbers between 0 and -1

∴ Five rational numbers (RBSESolutions.com) between -56 and – 50 are

We know that integers between 12 and 6 are :

∴ Five rational (RBSESolutions.com) numbers between [latex]\frac { 1 }{ 2 }[/latex] and [latex]\frac { 1 }{ 4 }[/latex] are

(v) We know that integers between 2 and -4 are:

-4 < -3 < -2 < -1 < 0 < 1 < 2

∴ Five rational numbers between [latex]\frac { 2 }{ 5 }[/latex] and [latex]\frac { -4 }{ 5 }[/latex] will be

Question 8

Write three more rational (RBSESolutions.com) numbers in each of the following :

Solution:

Question 9

Write the (RBSESolutions.com) following rational number in increasing order :

Solution:

(i) ∵ Denominators of given rational numbers are positive.

∴ L.C.M of 2, 2, 4 and 4 = 4 on making denominator of each = 4

∵ Denominators of (RBSESolutions.com) rational numbers are positive

∴ L.C.M. of 2, 4 and 7 = 28 on making the denominator of each = 28

∴ Increasing order is

∵ Denominator of rational (RBSESolutions.com) numbers are positive.

∴ L.C.M of 11, 15, 1, 1 and 15 = 165

on making denominator of each = 165

∵ Denominator of rational number are positive

∴ L.C.M of 5, 7, 6, 9 = 630 on making (RBSESolutions.com) denominator of each = 165

Question 10

Write the following rational (RBSESolutions.com) numbers is decreasing order :

Solution:

on making (RBSESolutions.com) the denominator 48 of each

∵ Denominator of rational number (RBSESolutions.com) are positive

∴ L.C.M of 6, 6, 9, 12 = 36

on making denominator 36 of each

on making (RBSESolutions.com) denominator 6 of each

on making (RBSESolutions.com) denominator 30 of each

We hope the RBSE Solutions for Class 7 Maths Chapter 4 Rational Numbers Ex 4.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers Exercise 4.1, drop a comment below and we will get back to you at the earliest.

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