# NCERT Solutions for Class 8 Maths Chapter 1

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Prashnavali 1.1 and Prashnavali 1.2 in Hindi Medium or Exercise 1.1 or Exercise 1.2 in English Medium free to download in PDF format updated for session 2021-2022.

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## NCERT Solutions for Class 8 Maths Chapter 1

### Class 8 Maths Chapter 1 all Exercises Solutions

 Class: 8 Mathematics Chapter 1: Rational Numbers

### Class 8 Maths Chapter 1 Solutions

Study online Exercise 1.1 of Rational Numbers class 8 Maths Solutions in English and Hindi Medium here. Click to Exercise 1.1 and Exercise 1.2 in English or Prashnavali 1.1 and Prashnavali 1.2 in Hindi. Video Format solutions of each exercise are also available to use free.

• ### 8 Maths Chapter 1 Solutions in Hindi Medium

#### Class 8 Maths Chapter 1 Exercise 1.1 Solutions in Videos

Class 8 Maths Chapter 1 Exercise 1.1 Explanation
Class 8 Maths Chapter 1 Exercise 1.1 Solution

#### Class 8 Maths Chapter 1 Exercise 1.2 Solutions in Videos

Class 8 Maths Chapter 1 Exercise 1.2 Explanation
Class 8 Maths Chapter 1 Exercise 1.2 Solution

#### More about Class 8 Maths Chapter 1

In 8 Maths Chapter 1, we will study about the application of Closer property of addition, subtraction and Multiplication. We also have to go through Commutative and Associative property under addition and multiplication. In all the operations we have to check whether Identity, Inverse exist or not just like additive identity or multiplicative inverse. The applications of distributive property is also be done in this chapter. How can the rational numbers can be represented on a number line and find the rational number between any two given rational numbers as there are countless rational numbers between two numbers. The idea of mean helps us to find rational numbers between two rational numbers.

##### About Preparation of Class 8 Maths Chapter 1

Commutative and associative rules students will have to apply in other lessons also, so learn it well. It should also be known to find the additive inverse and multiplicative inverse of different rational numbers. Students can contact anytime for any problem related to the study. There is no need to hesitate. Our main purpose is your help. Before starting this chapter, students should know about Natural Numbers, Whole Numbers, Integers (Positive and Negative), etc so that they can understand each and every term properly.

NCERT Solutions for Class 8 other subjects are also available in PDF form. Class 8 Maths Chapter 1 Rational Numbers Sols are given in updated form for 2021-22 to use online as well as download in PDF form. If you face any problem during download, please call us, we will immediately solve the problem.⁪⁫⁪

###### Associative Property of Integers
Operation Numbers Remarks
AdditionIs (–2) + [3 + (– 4)] = [(–2) + 3)] + (– 4)? Is (– 6) + [(– 4) + (–5)] = [(– 6) +(– 4)] + (–5)? For any three integers a, b and c, we have a + (b + c) = (a + b) + cAddition is associative
Subtraction Is 5 – (7 – 3) = (5 – 7) – 3? No.Subtraction is not associative
MultiplicationIs 5 × [(–7) × (– 8) = [5 × (–7)] × (– 8)? Is (– 4) × [(– 8) × (–5)] = [(– 4) × (– 8)] × (–5)? For any three integers a, b and c, we have a × (b × c) = (a × b) × cMultiplication is associative
DivisionIs [(–10) ÷ 2] ÷ (–5) = (–10) ÷ [2 ÷ (– 5)]? NoDivision is not associative

### Class 8 Maths Chapter 1 Important Questions

##### Are the Rational Numbers closed under the operations of Division?

No, the Rational numbers are closed under addition, subtraction and multiplication operations only.

##### Which rational number is additive identity for all rational numbers.

Zero (0) is the additive identity for rational numbers.

##### How many rational numbers are there between two rational numbers?

Between any two given rational numbers there are infinitely many rational numbers.

##### Which rational number is multiplicative identity for all rational numbers.

One (1) is the multiplicative identity for rational numbers.            