RD Sharma Class 8 Solutions Chapter 1 - Rational Numbers (Ex 1.6) Exercise 1.6 - Free PDF
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Class 8 Chapter 1 Rational Numbers
The relevant points discussed in Chapter 1 Rational Numbers of Class 8 are:
Under the operations of addition, subtraction and multiplication, the rational numbers are closed.
The addition and multiplication operations for rational numbers are commutative and associative respectively.
The rational numbers 0 and 1 are the additive identity and multiplicative identity for rational numbers respectively.
The rational number a/b when written in its additive inverse will be -a/b and vice versa.
The rational number a/b can be written as c/d (reciprocal or multiplicative inverse) if the product of a/b and c/d is equal to 1.
It is possible to represent rational numbers on a number line.
Since there are innumerable rational numbers between two rational numbers, therefore, to find rational numbers between two rational numbers, we will have to calculate the mean of the two rational numbers.
What Are the Steps to Represent Rational Numbers on a Number Line?
Representing rational numbers on a number line is a simple task. Steps to represent rational numbers on the number line are:
Firstly, draw a straight line and point a 0 mark on it and name it as O.
Now, to the right of 0, mark points 1, 2, 3, and so on. Remember these points should be at an equal distance to each other.
The distance between two points on a number line is known as a unit distance.
Now, mark the points on the left of 0 as -1, -2, -3, and so on. These points should also be placed at the same distance.
Now, you can represent the rational numbers on the number line. The positive rational numbers will be represented to the right of 0 and negative rational numbers will be represented to the left of 0.
FAQs on RD Sharma Class 8 Solutions Chapter 1 - Rational Numbers (Ex 1.6) Exercise 1.6
1. What are the properties of rational numbers discussed in exercise 1.6 of RD Sharma Class 8 Chapter 1 rational numbers?
There are several properties of rational numbers discussed in exercise 1.6 of RD Sharma Class 8 Chapter. The properties of rational numbers discussed in the exercise by RD Sharma are closure, commutativity, associativity, the role of zero, the role of one, negative of a number, reciprocal. The students should know these properties well to solve related questions of the chapter with ease. Also, these properties of rational numbers will help students in dealing with other related chapters of the syllabus as well.
2. Why are the solutions of RD Sharma Chapter 1, Rational Numbers important for Class 8 students?
The solutions of RD Sharma Chapter 1, Rational Numbers are very important for the students of class 8. Since numbers are the building blocks of mathematics, the students need to focus on dealing with different types of numbers. During the early classes, the focus of the students should be to clear their concepts so that they can grasp the chapters taught in higher classes. The solutions of RD Sharma will help students understand the concepts related to the chapter very clearly.
3. What are the topics included in RD Sharma Chapter 1 Rational Numbers of Class 8?
Exercises of chapter 1 Rational Numbers of RD Sharma Class 8 include all the essential topics that are covered in the chapter. The questions in the exercise include topics like introduction to rational numbers, properties of rational numbers, representation of rational numbers on a number line, and identification of rational numbers between two rational numbers. These topics are very useful for the students and must be studied in detail. Therefore, attempting questions of chapter 1 from RD Sharma will help students build their basics.
4. What is the importance of chapter 1 rational numbers of Class 8?
Rational numbers are one of the most important and basic chapters of mathematics included in the syllabus of Class 8. This chapter should be learned by the students of Class 8 with concentration and dedication as the further chapters are also related to rational numbers. Therefore, if a student can prepare this chapter well, it becomes easier for them to understand the other chapters that are included in their syllabus. A rational number is a number that can be expressed as a quotient or fraction p/q of two integers where p is the numerator and q is a non-zero denominator.
5. What are the types of numbers included in exercise 1.6 of RD Sharma Class 8 Chapter 1, that is, rational numbers?
Chapter 1, that is, rational numbers of Class 8 introduces the students to various types of numbers that are used in mathematics. The types of numbers that are discussed in the chapter are natural numbers, whole numbers, integers and their types (that is positive integers and negative integers), and rational numbers. The introduction to these numbers gives a strong background to the students of Class 8 which helps them to perform well in mathematics in the long run. Therefore, despite being easy the chapter still is essential for the students.