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Chapters
2: Polynomials
3: Pair of Linear Equations in Two Variables
4: Quadratic Equations
5: Arithmetic Progressions
6: Triangles
7: Coordinate Geometry
8: Introduction to Trigonometry
9: Some Applications of Trigonometry
10: Circles
11: Areas Related to Circles
12: Surface Areas and Volumes
13: Statistics
14: Probability
![NCERT solutions for Mathematics [English] Class 10 chapter 1 - Real Numbers - Shaalaa.com](/images/mathematics-english-class-10_6:d0d325cb7c8b4eec9c122c10141a5707.jpg "NCERT solutions for Mathematics [English] Class 10 chapter 1 - Real Numbers")
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Solutions for Chapter 1: Real Numbers
Below listed, you can find solutions for Chapter 1 of CBSE, Karnataka Board NCERT for Mathematics [English] Class 10.
NCERT solutions for Mathematics [English] Class 10 1 Real Numbers EXERCISE 1.1 [Page 5]
Express the number as a product of its prime factor:
140
Express the number as a product of its prime factor:
156
Express the number as a product of its prime factor:
3825
Express the number as a product of its prime factor:
5005
Express the number as a product of its prime factor:
7429
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
Find the LCM and HCF of the following integers by applying the prime factorisation method.
12, 15 and 21
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
Given that HCF (306, 657) = 9, find LCM (306, 657).
Check whether 6n can end with the digit 0 for any natural number n.
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
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 for Mathematics [English] Class 10 1 Real Numbers EXERCISE 1.2 [Page 9]
Prove that `sqrt(5)` is an irrational number.
Prove that 3 + 2`sqrt5` is irrational.
Prove that the following is irrational:
`1/sqrt2`
Prove that the following is irrational:
`7sqrt5`
Prove that the following are irrational.
`6+sqrt2`
Solutions for 1: Real Numbers
NCERT solutions for Mathematics [English] Class 10 chapter 1 - Real Numbers
Shaalaa.com has the CBSE, Karnataka Board Mathematics Mathematics [English] Class 10 CBSE, Karnataka Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 10 CBSE, Karnataka Board 1 (Real Numbers) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics [English] Class 10 chapter 1 Real Numbers are Introduction of Real Numbers, Real Numbers Examples and Solutions, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Fundamental Theorem of Arithmetic Motivating Through Examples, Proofs of Irrationality, Rational Numbers and Their Decimal Expansions, Concept of Irrational Numbers, Introduction of Real Numbers, Real Numbers Examples and Solutions, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Fundamental Theorem of Arithmetic Motivating Through Examples, Proofs of Irrationality, Rational Numbers and Their Decimal Expansions, Concept of Irrational Numbers, Introduction of Real Numbers, Real Numbers Examples and Solutions, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Fundamental Theorem of Arithmetic Motivating Through Examples, Proofs of Irrationality, Rational Numbers and Their Decimal Expansions, Concept of Irrational Numbers.
Using NCERT Mathematics [English] Class 10 solutions Real Numbers exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE, Karnataka Board Mathematics [English] Class 10 students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 1, Real Numbers Mathematics [English] Class 10 additional questions for Mathematics Mathematics [English] Class 10 CBSE, Karnataka Board, and you can use Shaalaa.com to keep it handy for your exam preparation.
