**NCERT Solutions For Class 10 Maths Chapter 1:** *Real Numbers* is the first chapter in CBSE Class 10 Maths NCERT syllabus and is also one of the important ones. Many students find Maths to be difficult. So, to help you with that, we bring you detailed CBSE NCERT Solutions For Class 10 Maths Chapter 1. The solutions provided here are prepared by the best academicians and experts at Embibe which will help you in your board exam preparation.

These NCERT solutions will help you improve your understanding of the chapter and strengthen your fundamentals in Class 10 Maths. Besides that, you can also download the CBSE NCERT Class 10 Maths Chapter 1 Solutions as PDF and practice offline. Using these solutions, you can easily complete your assignments and improve your performance by practicing regularly. Read on to get the detailed NCERT Solutions for Class 10 Maths Chapter 1.

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**NCERT Solutions For Class 10 Maths Chapter 1 – Real Numbers**

Before getting into the details of the NCERT Solutions For Class 10 Maths Chapter 1, let’s have a look at the constituent topics of the chapter:

Section Name | Topic Name |

1.1 | Introduction |

1.2 | Euclid’s Division Lemma |

1.3 | The Fundamental Theorem of Arithmetic |

1.4 | Revisiting Irrational Numbers |

1.5 | Revisiting Rational Numbers and Their Decimal Expansions |

1.6 | Summary |

**NCERT Solutions For Class 10 Maths Chapter 1 – Real Numbers (Solved Exercises)**

You can check the solved exercises for Class 10 Maths Chapter 1 below. Also, you can **download NCERT Solutions for Real Numbers in PDF** to practice offline

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**Download NCERT Solutions For Real Numbers Here**

**CBSE Class 10 Maths Chapter 1: Real Numbers**

**Chapter Description:** The concept of *Real Numbers* stretches far beyond the middle ages, with the acceptance of zero, negative and irrational numbers to the 18th century with calculus using the entire set of real numbers. Their completeness defines them. With advancements in Physics, more and more universal constants and physical variables are being modeled using real numbers.

Real numbers are a coherent part of our lives. There are uncountable sets of infinite numbers. Real numbers can be defined as the combination of both the rational and irrational numbers. Real numbers can be both positive or negative, and they are denoted by the symbol “R”. Numbers like a natural number, decimals, and fractions come under the real numbers category.

Real Numbers are widely used in counting, measuring speed, distance, temperature, time, etc. Even all other concepts of Mathematics like Trigonometry, Algebra, Geometry, Probability, Data Handling, etc. make use of real numbers.

In this chapter, you will learn the following key concepts: Euclid’s Division Lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results – irrationality of decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

NCERT Solutions for Class 10 Maths Chapter 2 | NCERT Solutions for Class 10 Maths Chapter 3 | NCERT Solutions for Class 10 Maths (All Chapters) |

### Advantages Of Embibe’s NCERT Solutions For Class 10 Maths Chapter 1

Embibe’s **NCERT Solutions** are of great help to the students. Given below are some of the advantages of NCERT solutions by Embibe:

- By following these solutions, students can develop a better understanding of the topics and understand the correct problem-solving methods.
- NCERT solutions by Embibe are a complete package. With the help of these solutions, you can solve and revise the entire syllabus of 10th Maths.
- All the exercises of the NCERT 10th Maths textbook have been solved in a detailed and step-wise manner.
- Our academic experts have prepared these solutions according to the latest revised NCERT guidelines.
- You can also refer to these solutions for revision and quick reference before the exams.

### FAQs On NCERT Solutions for Class 10 Maths Chapter 1

Some of the frequently asked questions are given below:

**Q1. For a given integer ‘m’, what is the form of every odd integer?**

A. 2m + 1

**Q2. There are two positive integers ‘a’ and ‘b’. They are written as a = p**

^{3}q^{2}and b = pq^{3}. If ‘p’ and ‘q’ are prime numbers, find HCF (a, b).A. pq^{2}

**Q3. What is the product of a non-zero number and an irrational number?**

A. The product is always an irrational number.

**Q4. Two given positive integers ‘p’ and ‘q’ are written as p = ab**

^{2}and q = a^{3}b. If ‘a’ and ‘b’ are prime numbers, calculate LCM (p, q).A. a^{3}b^{2}

**Q5. Three people start walking together. Their steps measure 40 cm, 42 cm, and 45 cm, respectively. Calculate the minimum distance each person should walk so that all three can cover the same distance.**

A. 2520cm

### Practice NCERT Class 10 Maths Lessons With Embibe

Not just NCERT Solutions for Class 10 Maths Chapter 1, but all the NCERT solutions by Embibe are available for free. You can access and download the solution directly without any sign-up formalities. Make the best use of the NCERT solutions provided, by solving and practicing the questions on a regular basis. Try to solve on your own and understand the method and approach used.

Once you understand the concepts well, try solving a variety of problems to make learning more fun. To master Real Numbers, you can take practice questions or take mock tests on Embibe. You can also solve **CBSE Class 10 Practice Questions** or attempt **Class 10 Foundation Mock Tests** for free on Embibe. These resources will enrich your knowledge and help you to understand the concepts better.

**Download NCERT Books PDF For Class 10 Maths Here**

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