RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 1 Chapter 1 Rational Numbers In Text Exercise

RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 1 Rational Numbers In Text Exercise.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 8
Subject	Maths
Chapter	Chapter 1
Chapter Name	Rational Numbers
Exercise	In Text Exercise
Number of Questions	22
Category	RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 1 Rational Numbers In Text Exercise

Page No: 2

Question 1.
Find the value

Solution

Page No: 4

Question 2.
Find the value

Solution:


Page No: 5

Question 3.
Find the value

Solution:

Page No: 6

Question 4.
Find the value

Solution:

Page No: 7

Question 5.
Find the value

Solution:

Page No: 8

Question 6.

Solution:

Page No: 9

Question 7.

Solution:

Page No: 10

Question 8
Fill in the blanks

Numbers	Closed under the operations
	Addition	Subtraction	Multiplication	Division
Natural numbers	Yes
Whole numbers				No
Integers		Yes
Rational numbers			Yes

Solution:
Filling the blanks in the table,we get

Numbers	Closed under the operations
	Addition	Subtraction	Multiplication	Division
Natural numbers	Yes	No	Yes	No
Whole numbers	Yes	No	Yes	No
Integers	Yes	Yes	Yes	No
Rational numbers	Yes	Yes	Yes	No

Page No: 12

Question 9.
Fill in the blanks

Numbers	Commutative
	Addition	Subtraction	Multiplication	Division
Natural numbers	Yes	No	Yes	No
Whole numbers
Integers
Rational numbers

Solution:
Filling the blanks in table,we get

Numbers	Commutative
	Addition	Subtraction	Multiplication	Division
Natural numbers	Yes	No	Yes	No
Whole numbers	Yes	No	Yes	No
Integers	Yes	No	Yes	No
Rational numbers	Yes	No	Yes	No

Page No: 13

Question 10.
Are the addition on both sides the same?

Solution:
(i) L.H.S

LHS = RHS
yes, total of both sides are equal.

L.H.S

LHS = RHS
yes, total of both sides are equal.

Page No: 15

Question 11.
Verify :

Solution:

∴ LHS = RHS
Verified

∴ LHS = RHS
Verified

Page No: 15

Question 12.
Fill in the blanks

Numbers	Associative
	Addition	Subtraction	Multiplication	Division
Natural numbers	Yes
Whole numbers				No
Integers			Yes
Rational numbers

Solution:
Filling the blanks in table,we get

Numbers	Associative
	Addition	Subtraction	Multiplication	Division
Natural numbers	Yes	No	Yes	No
Whole numbers	Yes	No	Yes	No
Integers	Yes	No	Yes	No
Rational numbers	Yes	No	Yes	No

Page No: 16

Question 13.
Fill in the blanks

Solution:
∵ a + a = 0 + a = a

Question 14.
Fill in the blanks

Solution:

Page No: 17

Question 15.
Fill in the blanks

Solution:
Filling the blanks we get

Page No: 17

Question 16.
Write the additive Inverse of the following rational numbers-

Solution:
(i) Additive inverse of \(\frac { -1 }{ 3 }\) is \(\frac { 1 }{ 3 }\)
(ii) Additive inverse of \(\frac { 7 }{ 2 }\) is \(\frac { -7 }{ 2 }\)
(iii) Additive inverse of is \(\frac { 7 }{ 2 }\) is \(\frac { -7 }{ 2 }\)
(iv) Additive inverse of is \(\frac { -3 }{ 5 }\) is \(\frac { 3 }{ 5 }\)
(v) Additive inverse of is \(\frac { 9 }{ 2 }\) is \(\frac { -9 }{ 2 }\)

Question 17.
Fill in the blanks

Solution:
Filling the blanks we get

Page No: 18

Question 18.
Write the multiplicative Inverse of \(3,\frac { 1 }{ 3 } ,\frac { -3 }{ 7 } ,\frac { 2 }{ 3 } ,\frac { -5 }{ 6 } \) rational numbers.
Solution:
Multiplicative inverse of given number are \(\frac { 1 }{ 3 } ,5,\frac { 7 }{ -3 } ,\frac { 3 }{ 2 } ,\frac { 6 }{ -5 } \)

Page No: 19

Question 19.
Find the value of the following by using distribution law (distributive)

Solution:

Page No: 20

Question 20.
Find the rational number between – 1 and 2.
Solution:
Rational number between – 1 and 2
\(=\frac { -1+2 }{ 2 } =\frac { 1 }{ 2 } \)
∵ Middle rational number = \(\frac { a+b }{ 2 } \)
∴ \(-1<\frac { 1 }{ 2 } <2\)

Question 21.
Find the rational number between \(\frac { 2 }{ 3 }\) and \(\frac { 3 }{ 4 }\)
Solution:
Rational number between \(\frac { 2 }{ 3 }\) and \(\frac { 3 }{ 4 }\)

Question 22.
Find the rational number between 2 and 3
Solution:
Rational number between 2 and 3

Now we find also rational number between 2 and \(\frac { 5 }{ 2 }\)

Rational number of \(\frac { 5 }{ 2 }\) and 3

Therefore three rational numbers between 2 and 3 are \(\frac { 9 }{ 4 } ,\frac { 5 }{ 2 } ,\frac { 11 }{ 4 } \)

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