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NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.1
Ex 1.1 Class 8 Maths Question 1.
Using appropriate properties find:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 1 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q1.png)
Solution:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 2 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q1.1 1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q1.1-1.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 3 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q1.2](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q1.2.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 4 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q1.3](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q1.3.png)
Ex 1.1 Class 8 Maths Question 2.
Write the additive inverse of each of the following:
(i) 28
(ii) −59
(iii) −6−5
(iv) 2−9
(v) 19−6
Solution:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 5 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q2](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q2.png)
Ex 1.1 Class 8 Maths Question 3.
Verify that -(-x) = x for
(i) x = 115
(ii) x = −1317
Solution:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 6 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q3](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q3.png)
Ex 1.1 Class 8 Maths Question 4.
Find the multiplicative inverse of the following:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 7 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q4](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q4.png)
Solution:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 8 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q4.1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q4.1.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 9 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q4.2](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q4.2.png)
Ex 1.1 Class 8 Maths Question 5.
Name the property under multiplication used in each of the following:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 10 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q5](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q5.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 11 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q5.1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q5.1.png)
Solution:
(i) Commutative property of multiplication
(ii) Commutative property of multiplication
(iii) Multiplicative inverse property
Ex 1.1 Class 8 Maths Question 6.
Multiply 613 by the reciprocal of −716.
Solution:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 12 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q6](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q6.png)
Ex 1.1 Class 8 Maths Question 7.
Tell what property allows you to compute
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 13 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q7](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q7.png)
Solution:
Since a × (b × c) = (a × b) × c shows the associative property of multiplications.
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 14 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q7.1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q7.1.png)
Ex 1.1 Class 8 Maths Question 8.
Is 89 the multiplicative inverse of -118? Why or Why not?
Solution:
Here -118 = −98.
Since multiplicative inverse of 89 is 98 but not −98
89 is not the multiplicative inverse of -118
Ex 1.1 Class 8 Maths Question 9.
If 0.3 the multiplicative inverse of 313? Why or why not?
Solution:
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 15 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Q9](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-Q9.png)
Multiplicative inverse of 0.3 or 310 is 103.
Thus, 0.3 is the multiplicative inverse of 313.
Ex 1.1 Class 8 Maths Question 10.
Write:
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
Solution:
(i) 0 is the rational number which does not have its reciprocal
[∵ 10 is not defined]
(ii) Reciprocal of 1 = 11 = 1
Reciprocal of -1 = 1−1 = -1
Thus, 1 and -1 are the required rational numbers.
(iii) 0 is the rational number which is equal to its negative.
Ex 1.1 Class 8 Maths Question 11.
Fill in the blanks.
(i) Zero has ……….. reciprocal.
(ii) The numbers ……….. and ……….. are their own reciprocals.
(iii) The reciprocal of -5 is ………
(iv) Reciprocal of 1x, where x ≠ 0 is ……….
(v) The product of two rational numbers is always a …………
(vi) The reciprocal of a positive rational number is ……….
Solution:
(i) no
(ii) -1 and 1
(iii) −15
(iv) x
(v) rational number
(vi) positive
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 16 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-1.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 17 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 1.1 4](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-1.1-4.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 18 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 2](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-2.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 19 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 2.1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-2.1.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 20 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 2.2](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-2.2.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 21 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 2.3](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-2.3.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 22 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 3](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-3.png)
![NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 23 NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 q 3.1](https://www.educationidol.in/wp-content/uploads/2022/10/NCERT-Solutions-for-Class-8-Maths-Chapter-1-Rational-Numbers-Ex-1.1-q-3.1.png)
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