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
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 1
Solution
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 2
Page No: 4

RBSE Solutions

Question 2.
Find the value
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 3
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 4
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 5
Page No: 5

RBSE Solutions

Question 3.
Find the value
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 6
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 7
Page No: 6

Question 4.
Find the value
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 8
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 9
Page No: 7

RBSE Solutions

Question 5.
Find the value
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 10
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 11
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 12

Page No: 8

Question 6.
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 13
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 14
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 15

Page No: 9

RBSE Solutions

Question 7.
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 16
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 17

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

RBSE Solutions

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?
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 18
Solution:
(i) L.H.S
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 19
LHS = RHS
yes, total of both sides are equal.
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 20
L.H.S
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 21
LHS = RHS
yes, total of both sides are equal.

Page No: 15

RBSE Solutions

Question 11.
Verify :
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 22
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 23
∴ LHS = RHS
Verified
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 24
∴ LHS = RHS
Verified

Page No: 15

RBSE Solutions

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
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 25
Solution:
∵ a + a = 0 + a = a
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 26

Question 14.
Fill in the blanks
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 27
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 28

Page No: 17

RBSE Solutions

Question 15.
Fill in the blanks
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 29
Solution:
Filling the blanks we get
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 30

Page No: 17

Question 16.
Write the additive Inverse of the following rational numbers-
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 31
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
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 32
Solution:
Filling the blanks we get
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 33

Page No: 18

RBSE Solutions

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)
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 34
Solution:
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 35

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 = \(\frac { a+b }{ 2 } \)
∴ \(-1<\frac { 1 }{ 2 } <2\)

RBSE Solutions

Question 21.
Find the rational number between \(\frac { 2 }{ 3 }\) and \(\frac { 3 }{ 4 }\)
Solution:
Rational number between \(\frac { 2 }{ 3 }\) and \(\frac { 3 }{ 4 }\)
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 36

Question 22.
Find the rational number between 2 and 3
Solution:
Rational number between 2 and 3
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 37
Now we find also rational number between 2 and \(\frac { 5 }{ 2 }\)
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 38
Rational number of \(\frac { 5 }{ 2 }\) and 3
RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise 39
Therefore three rational numbers between 2 and 3 are \(\frac { 9 }{ 4 } ,\frac { 5 }{ 2 } ,\frac { 11 }{ 4 } \)

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