Class 9 | Chapter 1 | Number System | Example 12, 13, 14, 15

Example 12: Check whether 7 √5, 7/√5 , √2 +21, π − 2 are irrational numbers or not.

Example 13: Add 2√2+5√3 and √2–3√3.

Example 14: Multiply 6√5 by 2√5.

Example 15: Divide 8√(15) by 2√3.

Concept: Rational and irrational numbers constitute real numbers. Also, the set of rational and irrational numbers are mutually exclusive that means no number can be both rational and irrational. Symbols Q and Q′  (read it as Q-dash or Q-prime) are used to set of rational and irrational numbers respectively. 

Rational Number

A number that can be written in the form of p/q where both p and q are integers and q ≠ 0.

OR

A number that either has a finite decimal part like 2, 4.5 or has an infinite but recurring (repeating) decimal part like 4.6666…, 2.3456456…

Irrational Number

A number that cannot be written in the form of p/q where both p and q are integers and q ≠ 0.

OR

A number that has an infinite and non-recurring (non-repeating) decimal part like 

1.01001000100001…., √2, √3, 𝛑

Concept: In this tutorial, you will learn about the very important topic – Number system. It is one of the basic concepts of Mathematics that every math student should learn very well. This is foundation of rest of the mathematics and should be very very clear to you. The tutorial not only covers and explains what different types of numbers are there but also explains what is the need of these numbers in real life. 

Chapter 1 – Number system

All Mathemafia YouTube videos of Class 9 chapter 1 (Number System) are embedded on this webpage. You can watch all these videos right here in the same order as they appear in the NCERT textbook. Number system is the base of Mathematics and it is very important for students to have very good knowledge of it. In the first introductory video, Number System has been explained in detail with very easy to understand examples. you are advised to must watch the introductory video before watching any of the chapter’s example or question. Here is the list of all solved video tutorials of this chapter at one place – Examples, concepts, exercises, theorems | Class 9 Chapter 1, Number System.

This playlist covers all questions, concepts and examples of chapter 1 (Number System) of class 9, NCERT textbook. You may watch all these tutorials on YouTube by clicking the link displayed below or click a thumbnail to watch the tutorials on this webpage.
English Version – Number System

The introductory video to understand the Number System has been created in English as well. You may watch this version in case you struggle to understand Hinglish.

Written by 

Mathematics is like music - Enjoy it!!!