RBSE Solutions for Class 7 Maths Chapter 4 Rational Numbers Additional Questions

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

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 7
Subject	Maths
Chapter	Chapter 4
Chapter Name	Rational Numbers
Exercise	Additional Questions
Number of Questions	22
Category	RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 4 Rational Numbers Additional Questions

Multiple choice Questions

Question 1f
Value of \(\frac { -7 }{ 8 } +\frac { 5 }{ 8 }\) will (RBSESolutions.com) be

Question 2
Difference of \(\frac { 5 }{ 7 }\) and \(\frac { 3 }{ 8 }\) will be

Question 3
Product of \(\frac { -3 }{ 5 } \times\) 7 willl be

Question 4
What is the simplest (RBSESolutions.com) from of \(\frac { -8 }{ 6 }\) ?

Question 5
Negative rational number is :

Answers:
1. (D), 2. (C), 3. (A), 4. (C), 5. (A)

Fill in the blanks

(ii) ……… is neither positive (RBSESolutions.com) rational number nor negative number.
(iii) The rational number between \(\frac { 1 }{ 2 }\) and \(\frac { 1 }{ 4 }\) will be ………
(iv) The simplest form of \(\frac { -44 }{ 72 }\)
Answers:
(i)
(ii) (0)
(iii) infinite
(iv) \(\frac { -11 }{ 18 }\)

True/False


(iv) Such numbers which can be expressed (RBSESolutions.com) in the form of \(\frac { p }{ q }\) are called rational numbers
Answer:
(i) T (ii) F (iii) T (iv) T

Very Short Answer Type Question

Question 1
Convert \(\frac { 36 }{ -24 }\) in standard form.
Solution:
HCF of 36 and 24 is 12
on dividing Nr and dr by 12
∴ \(\frac { 36 }{ -24 } \quad =\quad \frac { 36\div (-12) }{ -24\div (-12) } =\quad \frac { -3 }{ 2 }\)

Question 2
Is 5 a positive (RBSESolutions.com) rational number?
Solution:
We know 5 = \(\frac { 5 }{ 1 }\), y where Nr and Dr both are positive
∴ 5 is a positive, rational number.

Question 3
Write 5 negitive rational numbers
Solution:
Five negitive rational numbers are

Short Answer Type Questions

Question 1
Write four equivalent rational (RBSESolutions.com) numbers of each

Solution:
(i) Four equivalent rational numbers of

Question 2
Write five rational number between the (RBSESolutions.com) following rational numbers :
(i) – 1 and 0
(ii) – 2 and – 1
Solution:

Question 3
Which pair represents the same rational (RBSESolutions.com) number in the following pairs?

Solution:
(i) On expressing the given rational numbers in standard form

Clearly these rational numbers (RBSESolutions.com) are equal in their standard from
∴ \(\frac { -16 }{ 20 }\) = \(\frac { 20 }{ -25 }\)

(ii) On expressing the given rational numbers in their standard form

Clearly these rational numbers are equal in their standard from
∴ \(\frac { -2 }{ 3 }\) = \(\frac { 2 }{ -3 }\)

(iii) On expressing the given (RBSESolutions.com) rational numbers in standard from

Clearly standard from are not equal
∴ \(\frac { 1 }{ 3 }\) ≠ \(\frac { -1 }{ 9 }\)

(iv) On expressing the given rational numbers in standard form

Clearly standard forms (RBSESolutions.com) are not equal
∴ \(\frac { -5 }{ -9 }\) ≠ \(\frac { 5 }{ -9 }\)

Long Answer Type Questions

Question 1
Fill in the blank

Solution:

On (RBSESolutions.com) multiplying Nr and Dr of \(\frac { 5 }{ 4 }\) by 4

on multiplying Nr and Dr of \(\frac { 5 }{ 4 }\) by 5

On (RBSESolutions.com) multiplying Nr and Dr by – 3

On (RBSESolutions.com) multiplying Nr and Dr by 2

Question 2
Draw a number (RBSESolutions.com) line and represent \(\frac { -7 }{ 4 }\) on it.
Solution:
We know that \(\frac { -7 }{ 4 }\) or -1\(\frac { 3 }{ 4 }\), is greater than – 2 and less than – 1.
So \(\frac { -7 }{ 4 }\) will be in between -2 and -1.
Now to represents \(\frac { -7 }{ 4 }\) divide the distance between -2 and – 1 in 4 equal parts, take 3 more parts to mark point P.
So point P represents \(\frac { -7 }{ 4 }\) on number line.

Question 3
Arrange the following (RBSESolutions.com) rational numbers in ascending order,

Solution:

Here denominator of each number is equal. So arranging them in ascending order


Denominators of given (RBSESolutions.com) rational numbers are not equal.
∴ L.C.M of 3, 9 and 3 = 9
On making denominator 9 of each number

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