number line Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/number-line/ Mathematics is like music - Enjoy it!!! Mon, 19 Apr 2021 04:52:10 +0000 en-US hourly 1 https://wordpress.org/?v=7.0 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png number line Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/number-line/ 32 32 Class 9 | Chapter 1 | Number System | Example 18, 19, 20 https://mathemafia.com/class-9-chapter-1-number-system-example-18-19-20/ Sun, 14 Feb 2021 07:22:46 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6031 Example 18: Rationalise the denominator of 1/ (2 + √3) Example 19: Rationalise the denominator of 5 / (√3 – √5) Example 20: Rationalise the denominator of 1/ (7 + 3√2) Example 17 Example 21

The post Class 9 | Chapter 1 | Number System | Example 18, 19, 20 appeared first on Mathemafia.

]]>
Example 18: Rationalise the denominator of 1/ (2 + √3) Example 19: Rationalise the denominator of 5 / (√3 – √5) Example 20: Rationalise the denominator of 1/ (7 + 3√2)
Example 17
Example 21

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Example 18, 19, 20 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Example 17 https://mathemafia.com/class-9-chapter-1-number-system-example-17/ Sun, 14 Feb 2021 07:21:59 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6030 Example 17: Rationalise the denominator of 1/√2⋅ Example 16 Example 18, 19, 20

The post Class 9 | Chapter 1 | Number System | Example 17 appeared first on Mathemafia.

]]>

Example 17: Rationalise the denominator of 1/√2⋅

Example 16
Example 18, 19, 20

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Example 17 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Example 16 https://mathemafia.com/class-9-chapter-1-number-system-example-16/ Sun, 14 Feb 2021 07:21:39 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6029 Example 16: Simplify the following expressions: (i) (5+ √7)(2+ √5) (ii) (5+ √5)(5− √5) (iii) (√3+ √7)2 (iv) (√11− √7)(√11+ √7) Example 12, 13, 14, 15 Example 17

The post Class 9 | Chapter 1 | Number System | Example 16 appeared first on Mathemafia.

]]>

Example 16: Simplify the following expressions:

(i) (5+ √7)(2+ √5) (ii) (5+ √5)(5− √5)

(iii) (√3+ √7)2 (iv) (√11− √7)(√11+ √7)

Example 12, 13, 14, 15
Example 17

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Example 16 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Example 12, 13, 14, 15 https://mathemafia.com/class-9-chapter-1-number-system-example-12-13-14-15/ Sun, 14 Feb 2021 07:21:18 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6028 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. Example 11 Example 16

The post Class 9 | Chapter 1 | Number System | Example 12, 13, 14, 15 appeared first on Mathemafia.

]]>

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.

Example 11
Example 16

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Example 12, 13, 14, 15 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Example 11 https://mathemafia.com/class-9-chapter-1-number-system-example-11/ Sun, 14 Feb 2021 07:19:26 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6026 Example 11: Visualize the representation of 5.373737… on the number line upto 5 decimal places, that is, up to 5.37777. Example 10 Example 12, 13, 14, 15

The post Class 9 | Chapter 1 | Number System | Example 11 appeared first on Mathemafia.

]]>

Example 11: Visualize the representation of 5.373737… on the number line upto 5 decimal places, that is, up to 5.37777.

Example 10
Example 12, 13, 14, 15

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Example 11 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Exercise 1.6 | Question 2 & 3 https://mathemafia.com/class-9-chapter-1-number-system-exercise-1-6-question-2-3/ Sun, 14 Feb 2021 06:55:14 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6009 Question 2: Find: (i) 93/2 (ii) 322/5 (iii) 163/4 (iv) 125-1/3 Question 3: Simplify: (i)22/3⋅21/5 (ii)(1/33)7 (iii)(111/2) / (111/4) (iv)71/2⋅81/2 Question 1 Class 9 | Home

The post Class 9 | Chapter 1 | Number System | Exercise 1.6 | Question 2 & 3 appeared first on Mathemafia.

]]>

Question 2: Find:

(i) 93/2 (ii) 322/5 (iii) 163/4 (iv) 125-1/3

Question 3: Simplify:

(i)22/3⋅21/5 (ii)(1/33)7 (iii)(111/2) / (111/4) (iv)71/2⋅81/2

Question 1
Class 9 | Home

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Exercise 1.6 | Question 2 & 3 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Exercise 1.6 | Question 1 https://mathemafia.com/class-9-chapter-1-number-system-exercise-1-6-question-1/ Sun, 14 Feb 2021 06:53:46 +0000 http://sh016.global.temp.domains/~mathemaf/?p=6007 Question 1: Find: (i) 641/2 (ii) 321/5 (iii) 1251/3 Ex: 1.5 | Question 5 Question 2 & 3

The post Class 9 | Chapter 1 | Number System | Exercise 1.6 | Question 1 appeared first on Mathemafia.

]]>

Question 1: Find:

(i) 641/2 (ii) 321/5 (iii) 1251/3

Ex: 1.5 | Question 5
Question 2 & 3

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Exercise 1.6 | Question 1 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 5 https://mathemafia.com/class-9-chapter-1-number-system-exercise-1-5-question-5/ Sun, 14 Feb 2021 06:19:13 +0000 http://sh016.global.temp.domains/~mathemaf/?p=5930 Question 5: Rationalise the denominators of the following:(i) 1/√7   (ii)1/(√7−√6)   (iii) 1/(√5+ √2)   (iv) 1/(√7−2) Question 4 Ex: 1.6 | Question 1

The post Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 5 appeared first on Mathemafia.

]]>

Question 5: Rationalise the denominators of the following:(i) 1/√7   (ii)1/(√7−√6)   (iii) 1/(√5+ √2)   (iv) 1/(√7−2)

Question 4
Ex: 1.6 | Question 1

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 4 https://mathemafia.com/class-9-chapter-1-number-system-exercise-1-5-question-4/ Sun, 14 Feb 2021 06:19:00 +0000 http://sh016.global.temp.domains/~mathemaf/?p=5929 Question 4: Represent √(9.3) on the number line. Question 3 Question 5

The post Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 4 appeared first on Mathemafia.

]]>

Question 4: Represent √(9.3) on the number line.

Question 3
Question 5

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 4 appeared first on Mathemafia.

]]> Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 3 https://mathemafia.com/class-9-chapter-1-number-system-exercise-1-5-question-3/ Sun, 14 Feb 2021 06:18:43 +0000 http://sh016.global.temp.domains/~mathemaf/?p=5928 Question 3: Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = c / d⋅ This seems to contradict the fact that π is irrational. How…

The post Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 3 appeared first on Mathemafia.

]]>

Question 3: Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = c / d⋅ This seems to contradict the fact that π is irrational. How will you resolve this contradiction?

Question 2
Question 4

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.
Watch complete chapter on YouTube
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.

Class 9 Chapter 2 | Polynomials
​

Concepts

Number System – Must watch

Rational and Irrational numbers

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Exercise 1.2

Question 1

Question 2

Question 3 & 4

Exercise 1.3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 & 8

Question 9

Exercise 1.4

Question 1 & 2

Exercise 1.5

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 1.6

Question 1

Question 2 & 3

Examples

Example 1 & 2

Example 3 & 4

Example 5 & 6

Example 7, 8 & 9

Example 10

Example 11

Examples

Example 12, 13, 14, 15

Example 16

Example 17

Example 18, 19, 20

Example 21

The post Class 9 | Chapter 1 | Number System | Exercise 1.5 | Question 3 appeared first on Mathemafia.

]]>