4 Days Timetable: Real Numbers

# 4 Days Timetable: Real Numbers | Mathematics (Maths) Class 10 PDF Download

 Table of contents Day 1: Introduction Day 2: The Fundamental Theorem of Arithmetic Day 3: Revisiting Irrational Numbers Day 4: Revision and Practice

The chapter on "Real Numbers" holds significant importance in the Class 10 board exams. A solid understanding of this chapter is not only essential for scoring well but also forms the basis for many mathematical concepts that follow. In this study plan, we'll cover the key topics comprehensively to ensure a strong foundation.

Note: You can adjust the timetable to match your pace, but it's crucial to maintain the sequence of topics.

### Topics to Cover

Before delving into the study plan, let's review the topics we will be covering in this chapter:

1. Introduction
2. The Fundamental Theorem of Arithmetic
3. Revisiting Irrational Numbers

## Day 1: Introduction

• Start your journey into real numbers by understanding the basics.
• Dive into the classification of real numbers.
• Explore properties of real numbers, including the Archimedean property.

Study Tip: Utilize the Introduction to Real Numbers resources on EduRev for comprehensive coverage of this topic.

## Day 2: The Fundamental Theorem of Arithmetic

• Delve into the Fundamental Theorem of Arithmetic, which is crucial in number theory.
• Understand prime factorization and its significance.
• Learn about the uniqueness of prime factorization.

Study Tip: Refer to the chapter notes on The Fundamental Theorem of Arithmetic on EduRev for detailed explanations and examples.

## Day 3: Revisiting Irrational Numbers

• Explore irrational numbers in depth and how to identify them.
• Study the decimal expansions of real numbers, distinguishing between terminating and non-terminating decimals.
• Practice converting fractions into decimals and vice versa.

Study Tip: Enhance your understanding of irrational numbers and decimal expansions using the Irrational Numbers & Decimal Expansions resources on EduRev.

## Day 4: Revision and Practice

• Review all the topics covered in the previous three days.
• Solve practice questions and numerical problems related to real numbers.
• Test your understanding by attempting various question types, including:

These resources will help you gauge your understanding of the topics and prepare you effectively for the Class 10 board exams. Remember to consistently refer to the NCERT textbook and solve NCERT questions for a solid foundation.

Here are all the important links and topic-specific links for the "Real Numbers" chapter:

Resources for Revision:

Day of Revision:

These resources and links will help you comprehensively prepare for the "Real Numbers" chapter in Class 10 Mathematics.

Good luck with your studies and the upcoming board exams!

The document 4 Days Timetable: Real Numbers | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

## Mathematics (Maths) Class 10

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## FAQs on 4 Days Timetable: Real Numbers - Mathematics (Maths) Class 10

 1. What is the Fundamental Theorem of Arithmetic?
Ans. The Fundamental Theorem of Arithmetic states that every positive integer greater than 1 can be uniquely expressed as a product of prime numbers. This means that every number has a unique prime factorization.
 2. Why is the Fundamental Theorem of Arithmetic important?
Ans. The Fundamental Theorem of Arithmetic is important because it allows us to break down any number into its prime factors, which helps in simplifying and solving mathematical problems. It is also used in various areas of mathematics, such as number theory and cryptography.
 3. Can irrational numbers be expressed as a product of primes?
Ans. No, irrational numbers cannot be expressed as a product of primes. The Fundamental Theorem of Arithmetic only applies to positive integers. Irrational numbers, such as pi or the square root of 2, cannot be expressed as a finite product of primes.
 4. How can we identify if a number is irrational?
Ans. To identify if a number is irrational, we can check if it can be expressed as a fraction. If it cannot be expressed as a fraction or the decimal representation goes on forever without repeating, then the number is irrational.
 5. How can I practice and revise the concepts of real numbers?
Ans. To practice and revise the concepts of real numbers, you can solve a variety of exercises and problems related to prime factorization, irrational numbers, and the Fundamental Theorem of Arithmetic. Additionally, you can refer to textbooks, online resources, and practice tests to strengthen your understanding of the topic.

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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