Selina Solutions for Class 8, maths Chapter 1

Class 8: Maths Chapter 1 solutions. Complete Class 8 Maths Chapter 1 Notes.

Contents

1 Selina Class 8 ICSE Solutions Mathematics : Chapter 1- Rational Numbers
2 Download PDF
3 Chapterwise Selina Publishers ICSE Solutions for Class 8 Mathematics :
4 About Selina Publishers ICSE

Selina Class 8 ICSE Solutions Mathematics : Chapter 1- Rational Numbers

Selina 8th Maths Chapter 1, Class 8 Maths Chapter 1 solutions

Exercise 1A

Question 1.
Add, each pair of rational numbers, given below, and show that their addition (sum) is also a rational number:

Solution:

Question 2.
Evaluate:

Solution:

Question 3.
Evaluate:

Solution:

Question 4.
For each pair of rational numbers, verify commutative property of addition of rational numbers:

Solution:

Question 5.
For each set of rational numbers, given below, verify the associative property of addition of rational numbers:

Solution:

Question 6.
Write the additive inverse (negative) of:

Solution:

Question 7.
Fill in the blanks:

Solution:

Question 8.
State, true or false:

Solution:

Exercise 1B

Question 1.
Evaluate:

Solution:

Question 2.
Subtract:

Solution:

Question 3.
The sum of two rational numbers is \frac { 9 }{ 20 }920. If one of them is \frac { 2 }{ 5 }25, find the other.
Solution:

Question 4.
The sum of the two rational numbers is \frac { -2 }{ 3 }−23. If one of them is \frac { -8 }{ 5 }−85, find the other.
Solution:

Question 5.
The sum of the two rational numbers is -6. If one of them is \frac { -8 }{ 5 }−85, find the other.
Solution:

Question 6.
Which rational number should be added to \frac { -7 }{ 8 }−78 to get \frac { 5 }{ 9 }59 ?
Solution:

Question 7.
Which rational number should be added to \frac { -5 }{ 9 }−59 to get \frac { -2 }{ 3 }−23 ?
Solution:

Question 8.
Which rational number should be subtracted from \frac { -5 }{ 6 }−56 to get \frac { 4 }{ 9 }49 ?
Solution:

Question 9.
(i) What should be subtracted from -2 to get \frac { 3 }{ 8 }38
(ii) What should be added to -2 to get \frac { 3 }{ 8 }38
Solution:

Question 10.
Evaluate:

Solution:

Exercise 1C

Question 1.
Evaluate:

Solution:

Question 2.
Multiply:

Solution:

Question 3.
Evaluate:

Solution:

Question 4.
Multiply each rational number, given below, by one (1):

Solution:

Question 5.
For each pair of rational numbers, given below, verify that the multiplication is commutative:

Solution:

Question 6.
Write the reciprocal (multiplicative inverse) of each rational number, given below :

Solution:

Question 7.
Find the reciprocal (multiplicative inverse) of:

Solution:

Question 8.

Solution:

Question 9.

Solution:
>

Question 10.
Name the multiplication property of rational numbers shown below :

Solution:

Question 11.
Fill in the blanks:
(i) The product of two positive rational numbers is always ……………
(ii) The product of two negative rational numbers is always ……………
(iii) If two rational numbers have opposite signs then their product is always …………..
(iv) The reciprocal of a positive rational number is ………. and the reciprocal of a negative rational number is ……………
(v) Rational number 0 has ………….. reciprocal.
(vi) The product of a rational number and its reciprocal is ………..
(vii) The numbers ……….. and ……….. are their own reciprocals.
(viii) If m is reciprocal of n, then the reciprocal of n is ………….
Solution:

Exercise 1D

Question 1.
Evaluate:

Solution:

Question 2.
Divide:

Solution:

Question 3.
The product of two rational numbers is -2. If one of them is \frac { 4 }{ 7 }47, find the other.
Solution:

Question 4.
The product of two numbers is \frac { -4 }{ 9 }−49. If one of them is \frac { -2 }{ 27 }−227, find the other.
Solution:

Question 5.
m and n are two rational numbers such that

Solution:

Question 6.
By what number must \frac { -3 }{ 4 }−34 be multiplied so that the product is \frac { -9 }{ 16 }−916 ?
Solution:

Question 7.
By what number should \frac { -8 }{ 13 }−813 be multiplied to get 16?
Solution:

Question 8.
If 3\frac { 1 }{ 2 }12 litres of milk costs ₹49, find the cost of one litre of milk?
Solution:

Question 9.
Cost of 3\frac { 2 }{ 5 }25 metre of cloth is ₹88\frac { 1 }{ 2 }12. What is the cost of 1 metre of cloth?
Solution:

Question 10.
Divide the sum of \frac { 3 }{ 7 }37 and \frac { -5 }{ 14 }−514 by \frac { -1 }{ 2 }−12.
Solution:

Question 11.

Solution:

Question 12.
The product of two rational numbers is -5. If one of these numbers is \frac { -7 }{ 15 }−715, find the other.
Solution:

Question 13.
Divide the sum of \frac{5}{8}58 and \frac{-11}{12}−1112 by the difference of \frac{3}{7}37 and \frac{5}{14}514
Solution:

Exercise 1E

Question 1.

Solution:

Question 2.

Solution:

Question 3.
Insert one rational number between (0 7 and 8 (ii) 3.5 and 5
(i) 2 and 3.2
(ii) 3.5 and 5
(iii) 2 and 3.2
(iv) 4.2 and 3.6
(v) \frac { 1 }{ 2 }12 and 2
Solution:

Question 4.
Insert two rational numbers between
(i) 6 and 7
(ii) 4.8 and 6
(iii) 2.7 and 6.3
Solution:

Question 5.
Insert three rational numbers between
(i) 3 and 4
(ii) 10 and 12
Solution:

Question 6.
Insert five rational numbers between \frac { 3 }{ 5 }35 and \frac { 2 }{ 5 }25
Solution:

Question 7.
Insert six rational numbers between \frac { 5 }{ 6 }56 and \frac { 8 }{ 9 }89
Solution:

Question 8.
Insert seven rational numbers between 2 and 3.
Solution:

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Selina Class 8 ICSE Solutions Mathematics : Chapter 1- Rational Numbers

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Chapterwise Selina Publishers ICSE Solutions for Class 8 Mathematics :

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Selina Publishers has been serving the students since 1976 and is one of the quality ICSE school textbooks publication houses. Mathematics and Science books for classes 6-10 form the core of our business, apart from certain English and Hindi literature as well as a few primary books. All these books are based upon the syllabus published by the Council for the I.C.S.E. Examinations, New Delhi. The textbooks are composed by a panel of subject experts and vetted by teachers practising in ICSE schools all over the country. Continuous efforts are made in complying with the standards and ensuring lucidity and clarity in content, which makes them stand tall in the industry.