Class 10 Mathematics starts with Chapter 1 Real Numbers. In this chapter, you’ll learn about the core concepts related to real numbers. Here are the main topics and core concepts covered in Chapter 1 of Class 10 Mathematics. Understanding the concept of real numbers, which include all rational and irrational numbers. Learning about Euclid’s Division Lemma and how it helps in understanding the properties of divisors and remainders. Studying the Fundamental Theorem of Arithmetic, which states that every positive integer can be expressed uniquely as a product of prime numbers.

**Exercises of Class 10 Maths Chapter 1 Real Numbers**

Class 10 Maths Chapter 1 Exercise 1.1

Class 10 Maths Chapter 1 Exercise 1.2

Next Chapter: Chapter 2 Polynomials

Class 10 Maths all Chapter’s Solutions

**Rational Numbers and Their Decimal Expansions**

Exploring irrational numbers and their properties, including the non-terminating, non-repeating decimal expansions. Understanding the decimal expansions of rational numbers and how they can be either terminating (ending) or non-terminating repeating.

Performing operations such as addition, subtraction, multiplication, and division on real numbers, including rational and irrational numbers. It’s important to thoroughly understand these core concepts as they form the foundation for many mathematical concepts you’ll encounter in later chapters of Class 10 Mathematics and beyond.

## Revising Chapter 1 of Class 10 Mathematics

Practicing and revising Chapter 1 of Class 10 Mathematics, Real Numbers, is essential to gain a strong understanding of the concepts and perform well in exams. Here’s a systematic approach to practice and revise this chapter effectively. Start by reading the entire chapter from your textbook.

Pay close attention to definitions, theorems, and examples. As you read, create concise summary notes or flashcards for each section. Highlight key formulas, theorems, and important concepts.

### Use of Euclid’s Division Algorithm to Find HCF

Applying Euclid’s Division Algorithm to find the Highest Common Factor (HCF) of two positive integers. Learning how to prove the irrationality of certain numbers using contradiction and the Fundamental Theorem of Arithmetic. Converting fractions into decimal form and understanding recurring and non-recurring decimals. Representing rational numbers on the number line and comparing their magnitudes. Summarizing the key concepts and results from Class 10 Maths Chapter 1. Solving practice exercises to reinforce the understanding of the topics discussed. Mastery of these fundamental ideas is crucial for success in mathematics at this level and in future studies.

#### Practice Examples and Solve Additional Exercises

Solve the examples provided in the textbook. Work through each step carefully to understand the problem-solving process. Your textbook should have exercise questions at the end of the chapter. Begin with the simpler questions and gradually move on to more complex ones. Try to solve a variety of problems to get a well-rounded understanding of the concepts. Refer to the NCERT solutions for Chapter 1. These solutions provide step-by-step explanations for solving problems and can help you understand the correct approach.

##### Practice Numerical Problems and Work on Proof Questions

Class 10 Maths Chapter 1 Real Numbers often involve numerical problems. Practice calculations involving HCF (Highest Common Factor), LCM (Least Common Multiple), prime factorization, and conversion between fractions and decimals. This chapter may have proof-related questions. Practice these to understand the underlying mathematical principles and logic.

Practice using the Euclidean Division Algorithm to find the HCF of two numbers. This is an important concept in 10th mathematics chapter 1. Understand irrational numbers and their properties. Practice working with irrational numbers and their decimal representations.

###### Solve Mock Tests and Sample Papers

In Chapter 1 of 10th mathematics, we have to represent rational numbers on a number line to understand their ordering and magnitude. Get a periodically review the summary notes and flashcards you created to reinforce your memory. Look for mock tests and sample papers for Class 10 Maths online or in preparation books. These can help you get a feel for the types of questions you might encounter in exams. If you encounter difficulties with specific topics or problems, don’t hesitate to ask your teacher, a tutor, or classmates for assistance.

**Regularly Test Yourself and Stay Consistent**

To make a perfect preparation of class 10 mathematics chapter 1, take self-assessment quizzes or mini-tests to gauge your understanding of the chapter’s concepts. Practice solving problems within a specific time frame to improve your time management skills, which is crucial during exams. Make a schedule for regular practice and revision.

Consistency is key to mastering mathematical concepts. Remember that mathematics is a subject that requires continuous practice. Download NCERT Solutions Apps from App Store and Play Store to practice math problems. The more problems you solve and the more consistently you revise, the better your grasp of the concepts will be. Don’t wait until the last minute to start practicing and revising. Start early and build a strong foundation in Chapter 1 before moving on to subsequent chapters.