I am going to share the resources to NCERT solutions or any other specific textbooks. However, I can give you a brief overview of Class 10 Maths Chapter 1 Real Numbers, and provide some general information about how to find resources for NCERT solutions.
Chapter 1 of Class 10 Maths covers the concept of real numbers, which includes rational and irrational numbers. The chapter discusses the properties of real numbers, such as the commutative, associative, and distributive properties of addition and multiplication. It also covers the concepts of prime and composite numbers, factors, and multiples. Additionally, the chapter includes the Euclid’s Division Algorithm, which is used to find the highest common factor (HCF) of two positive integers.
To find NCERT solutions for Class 10 Maths Chapter 1 Real Numbers, you can search for resources online, including on the official NCERT website. There are also many educational websites and YouTube channels that offer free NCERT solutions for various subjects, including Maths. You can also ask your school or teacher for recommended resources.
NCERT Solutions Class 10 Math Chapter 1 Real Numbers exercise 1.1 and exercise 1.2 according to academic session 2023-2024. Below check all the NCERT Questions and solutions in Video format:
NCERT Solutions Class 10 Math Chapter 1 Real Numbers Exercise 1.1
Question 1. Express each number as a product of its prime factors:
(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
Question 2. Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.
(i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54
Question 3. Find the LCM and HCF of the following integers by applying the prime factorisation method.
(i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25
Question 4. Given that HCF (306, 657) = 9, find LCM (306, 657)
Question 5. Check whether 6n can end with the digit 0 for any natural number n.
Question 6. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
Question 7. There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
NCERT Solutions Class 10 Math Chapter 1 Real Numbers Exercise 1.2
Question 1. Prove that \( \sqrt{5} \) is irrational.
Question 2. Prove that \(3 + 2 \sqrt{5} \) is irrational.
Question 3. Prove that the following are irrationals :
(i)\(\frac{1}{\sqrt{2}} \) (ii)\(7 \sqrt{5} \) (iii)\(6 + \sqrt{2} \)