## Number System (Ex 1D) Exercise1.4 - Free PDF

## 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.