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 \(\frac { 9 }{ 4 } ,\frac { 5 }{ 2 } ,\frac { 11 }{ 4 } \)
We hope the given RBSE Solutions for Class 8 Maths Chapter 1 Rational Numbers In Text Exercise will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 1 Rational Numbers In Text Exercise, drop a comment below and we will get back to you at the earliest.
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