NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers(New Syllabus)

                   Introduction

 In this article we provide you the NCERT Solutions for Class 8 Maths Chapter 1 New syllabus Mathematics is a fascinating subject that lays the foundation for logical thinking and problem-solving skills. In Class 8, one of the important topics is rational numbers.

We will explore the NCERT Solutions for Class 8 Maths Chapter 1, Exercise 1.1 and provide solutions that will help you develop a strong understanding of this topic. So, let’s embark on a journey to master the world of numbers!

The purpose of the exercises is to enhance your knowledge and skills in working with rational numbers through a variety of problem-solving scenarios.
As per the Revised Syllabus 2023-24  NCERT Solutions for Class 8 Maths Chapter 1Chapter 1 Rational Numbers has only one exercise. Get NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers in Hindi and English Medium for CBSE 2023-2024.
In this chapter, information is given about number systems, such as whole numbers, natural numbers, integers and some special properties. Questions in exercise are based on these qualities and this time in new syllabus only in exercise 1.1 I have only 3 questions

Multiplicative Identity of Rational Numbers :-

Rational numbers have a multiplicative identity of 1, which is 1. According to the multiplicative identity property, a number multiplied by its original number produces a result of 1. Therefore, we can state that a-1 or 1/a is the multiplicative inverse of any number “a”. In other words, if the sum of the two numbers is 1, they are considered to be multiplicative inverses of one another. The reciprocal of a number is another name for a number’s multiplicative inverse.

What is Multiplicative Identity of Rational Numbers? 

As the result of a number and its multiplicative inverse, a rational number’s multiplicative identity is 1, or 1. The result of multiplying 1 by any number is that number. Therefore, for rational numbers, integers, and whole numbers, 1 is the multiplicative identity. There is a rational number b/a that is the reciprocal or multiplicative inverse of any non-zero rational number a/b such that a/b x b/a = 1.

Multiplicative Identity Property

According to the multiplicative identity property, a number’s product with its multiplicative inverse equals 1, which is denoted by the symbol x. x-1 = 1. Consider the rational number 2/3 as an illustration. 2/3 has a multiplicative inverse of 3/2. 2/3, based on the property. (3/2) = 1. Thusly Proven.

  NCERT Solutions for Class 8 Maths Chapter 1

  NCERT Solutions for Class 8 Maths Chapter 1

Exercise 1.1

Q- 1 Name the property under multiplication used in each of the following ?

(i)  – 4/5×  1 = 1 × -4/5

 
Solution :- 1 is a multiplicative identity.
(ii)  – 13/17  × (-2/7) = -2/7  × (– 13/17)
 
Solution :– Commutative property. 
 
(iii)  – 19 / 29 ×  29 / – 19 = 1
 
Solution :– Multiplicative inverse property.
 
Q – 2 Tell what property allows you to compute 1/3 (6 × 4/3) as ( 1/3 × 6 ) × 4/3
 
Solution :–By using associative property of multiplication 
                  =  a × ( b × c) = (a × b ) × c
 
Q- 3 The product of two rational numbers is always a ——–
Solution :– The product of two rational numbers is always Rational number.
 

 

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