NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

This chapter will teach properties identified with real numbers, integers, whole numbers, rational numbers and natural numbers – independent, associative and closure. The chapter manages the part of zero and one, multiplication over addition just as the portrayal of Rational Numbers on the number line, alongside looking for Rational Numbers between two Rational Numbers. Likewise, Additive identity (0) and Multiplicative identity (1) are canvassed in this chapter. This chapter contains two activities, which are questions from all the topics present in the chapter. Introduction to Rational Numbers The numbers engaged with numerous mathematical applications, such as addition, subtraction, and multiplication, which are intrinsically closed with numerous mathematical operations, are called Rational numbers.

Whole Numbers and Natural Numbers
Natural numbers are sets of numbers starting from 1 counting up to limitlessness. The set of natural numbers mentioned here is denoted as ′N′. Whole numbers are a set of numbers starting from 0 and going up to endlessness. So fundamentally they are natural numbers with the number zero added to the said set. The set of whole numbers is represented as ′W′.

Integers
In straightforward terms, Integers are natural numbers and their negatives. The arrangement of Integers is denoted as ′Z′ or ′I′.

Rational Numbers
A rational number is a certain number that can be represented as a small amount of two integers as p/q, where q should be non-zero. The arrangement of rational numbers is denoted as Q.

Properties of Rational Numbers

• Closure Property of Rational Numbers
• Commutative Property of Rational Numbers
• Associative Property of Rational Numbers
• Distributive Property of Rational Numbers

Negatives and Reciprocals

• Negation of a Number
• Reciprocal of a Number

Representing on a Number Line
You will learn how to represent a given rational number an, where a and n are integers, on the number line.

Rational Numbers between Two Rational Numbers
The quantity of rational numbers between any two given rational numbers isn't positive, not normal for whole numbers and natural numbers.

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