Chapter 1 Rational Numbers
Extra Questions Very Short Answer Type
Question 1.
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-10.png)
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-12.png)
Question 4.
Question 5.
What is the multiplicative identity of rational numbers?
Solution:
1 is the multiplicating identity of rational numbers.
Question 6.
What is the additive identity of rational numbers?
Solution:
0 is the additive identity of rational numbers.
Solution:
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-17.png)
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-18.png)
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-19.png)
Short Answer Type
Question 13.
Calculate the following:
Solution:
Question 14.
Represent the following rational numbers on number lines.
Solution:
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-21.png)
Solution:
Question 16.
Show that:
Solution:
Question 17.
Solution:
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-25.png)
Question 20.
Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS = SP. (NCERT Exemplar)
What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and 0 so that ZT = TO. Which rational number does T represent?
Solution:
As OQ = QR = RS = SP and OQ + QR + RS + SP = OP
therefore Q, R and S divide OP into four equal parts.
Verify:
(i) a + (b + c) = (a + b) + c (Associative property of addition)
(ii) a × (b × c) – (a × b) × c (Associative property of multiplication)
Solution:
Higher Order Thinking Skills (HOTS)
Question 22.
Question 23.
Question 24.
Fill in the blanks:
(a) Numbers of rational numbers between two rational numbers is ……….
Solution:
![Extra Questions for Class 8 Maths Rational Numbers 01](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-17.png)
![Maths Extra Questions for Class 8 Rationa Numbers](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers.png)
![NCERT Solutions for Class 8 Maths Rational Numbers Extra Questions](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-8-maths-rational-numbers.png)
![Rational Numbers Extra Questions for Class 8 Maths 1](https://rajboardexam.in/wp-content/uploads/2022/07/rational-numbers-extra-questions-for-class-8-maths.png)
![Extra Questions for Class 8 Maths Rational Numbers 05](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-18.png)
![Extra Questions for Class 8 Maths Rational Numbers 06](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-19.png)
![Extra Questions for Class 8 Maths Rational Numbers 07](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-20.png)
![Extra Questions for Class 8 Maths Rational Numbers 08](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-21.png)
![Extra Questions for Class 8 Maths Rational Numbers 09](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-22.png)
![Extra Questions for Class 8 Maths Rational Numbers 10](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-23.png)
![Maths Extra Questions for Class 8 Rationa Numbers 2](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers-1.png)
![Maths Extra Questions for Class 8 Rationa Numbers 3](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers-2.png)
![Maths Extra Questions for Class 8 Rationa Numbers 4](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers-3.png)
![Extra Questions for Class 8 Maths Rational Numbers 09](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-24.png)
![Extra Questions for Class 8 Maths Rational Numbers 10](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-25.png)
![Maths Extra Questions for Class 8 Rationa Numbers 5](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers-4.png)
![Maths Extra Questions for Class 8 Rationa Numbers 6](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers-5.png)
![Maths Extra Questions for Class 8 Rationa Numbers 7](https://rajboardexam.in/wp-content/uploads/2022/07/maths-extra-questions-for-class-8-rationa-numbers-6.png)
![Extra Questions for Class 8 Maths Rational Numbers Q 19](https://rajboardexam.in/wp-content/uploads/2022/07/extra-questions-for-class-8-maths-rational-numbers-26.png)