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# RS Aggarwal Solutions Class 6 Chapter-1

Last updated date: 04th Aug 2024
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## Number System (Ex 1D) Exercise1.4 - Free PDF

Free PDF download of RS Aggarwal Solutions Class 6 Chapter-1 Number System (Ex 1D) Exercise1.4 solved by Expert Mathematics Teachers on Vedantu.com. All Exercise 1.4 Questions with Solutions for Class 6 RS Aggarwal to help you to revise complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering Entrance Exams.

Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English,Hindi will become easy to study if you have access to NCERT Solution for Class 6 Science , Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 6 Maths to help you to revise the complete syllabus and score more marks in your Examinations.

The Number System is one of the most important Chapters of Class 6 Mathematics as it introduces Class 6 students to different types of numbers. This Chapter comes again in Class 9 and Class 10. Class 6 students should prepare this Chapter thoroughly with reference books like RS Aggarwal and RD Sharma.

## Different Types of Real Number

The 5 Types of Real Numbers are:

• Natural Numbers: Natural numbers are those positive numbers that can be counted. They are represented by ‘N’.

• Whole numbers: Whole Numbers are natural numbers including '0's. They are represented by ‘W’

• Integers: Integers include all positive counting numbers, negative numbers, and zero and are represented by 'Z'.

• Rational Numbers: Rational Numbers are those numbers, which can be presented in the form of a fraction p/q, where 'p' and 'q' are integers and 'q' is never equal to zero. Rational numbers are represented by 'Q'. Q = {-10, 0, -8, 7/8, 1.414}

• Irrational Numbers: Irrational Numbers are square roots of positive rational numbers, cube roots of rational numbers, etc., such as √2, come under the set of irrational numbers. Irrational numbers are represented by 'P'. ( P) = {√3, -√77}

## FAQs on RS Aggarwal Solutions Class 6 Chapter-1

1. Is 0 a natural number?

0 is not a natural number. Natural numbers are the set of numbers that include all counting numbers. Nature numbers are always positive. 0 is rather a whole number. Whole numbers are natural numbers with 0. Whole numbers start from 0 and extend till infinity and Natural numbers start from 1 and move onto infinity. This is the one difference between natural and whole numbers. Students can learn more about the numbers and numbers systems at Vedantu’s official Youtube Channel. They can also find FREE resources on Vedantu’s official website.

2. Should I study Class 6 Number System from RS Aggarwal?

Yes, Class 6 students can study the number system from RS Aggarwal as it contains good questions that can come directly from the Exam and also by solving them, the child can get their concepts clear. RS Aggarwal also has text papers that will help to create an Exam-like situation that will give a real-life taste of what pace the children have to solve Class 6 Maths Exam. Class 6 students should solve NCERT Exercises first and then move on to other reference books such as RS Aggarwal.

3. Explain the difference between Rational and Irrational numbers with Examples?

Rational numbers are integers that can be expressed in the form of fraction or in the form of p/q (where both p and q are integers). On the other hand, Irrational Numbers are ones that cannot be represented in a fraction form. Basically, the numbers that can't be expressed as one ratio of two numerical values are Irrational numbers. This is the major difference between Irrational and Rational Numbers. Examples of a Rational number can be 2, 4/1,-4/3, etc. Examples of Irrational numbers are √3, √33, π(Pi), etc.

4. What are Imaginary numbers?

Imaginary numbers are numbers that produce a negative result when multiplied by themselves or squared. These cannot be represented on a number line. Examples of Imaginary Numbers are 2i+3, i-7, etc (where 'i' is the imaginary unit or unit imaginary. It is one of the solutions to the quadratic equation x² + 1 = 0). Imaginary Numbers are a part of the number system that Class 6 students will learn in higher Classes. But competitive Exams such as olympiads might ask questions from this topic so the student must know the basics to answer.

5. What are the properties of real numbers?

Real numbers are denoted by 'R' and are the combination of rational numbers and irrational numbers. Real Numbers can be positive or negative.

The properties that can be applied to real numbers are:

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

Properties are used in Maths to generalise repetitive solutions. Practice will help Class 6 students understand properties from fundamentals, which will highly assist them in higher Classes. They can learn more about these properties and can use more FREE resources at Vedantu’s official website.