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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers - Free PDF

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As you go into higher classes, juggling between so many subjects and assignments is not easy for a class 10 student. That is why we at Vedantu have come up with detailed NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers. The solutions follow the updated CBSE curriculum. The subject matter experts at Vedantu have done an extensive research to design NCERT Solutions for Class 10 Maths Chapter 1 so that it is easily understandable by you. By going through these Chapter 1 Maths Class 10 NCERT Solutions, you can clear your concepts on real numbers at the root level so that you can solve complex problems on your own.


If you are looking for answers to all the questions of Class 10 Maths Chapter 1, then download the NCERT Solutions for Class 10 Maths Chapter 1 PDF from the official website of Vedantu. You can save these solutions on your device to access them offline, without an internet connection. You can even print out Maths Chapter 1 Class 10 NCERT Solution to have another mode of doing a quick revision of essential formulas and concepts. If you are looking for NCERT Solutions for Class 10 Science you can find that on Vedantu.

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers part-1
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FAQ (Frequently Asked Questions)

Q1. What are the Steps of Calculating the HCF of Two Positive Integers?

Ans: To calculate the HCF (Highest Common Factor) of two positive integers x and y (x is greater than y), we can follow the steps mentioned below:

  • Find out the quotient q and remainder r that satisfy Euclid’s Division Lemma x = (y * q) + r.

  • If r or remainder is 0, then the HCF of the two numbers is n.

  • If r is <> 0, then we need to apply Euclid’s division Lemma to y and r.

  • The above process has to be continued till we get r = 0. When we reach this stage, the divisor would be the HCF of x and y.

Q2. What is the Difference Between Whole Numbers, Integers, and Natural Numbers?

Ans: The definitions of these numbers are as below:

  • Natural numbers are all non-negative counting numbers, excluding 0, i.e. 5, 6, 7, 8, etc.

  • Whole numbers are similar to natural numbers except that they include 0, so whole numbers are 0, 1, 2, 3, etc.

  • Integers comprise all negative and positive numbers (including 0). So integers are -2, -1, 0, 1, 2, etc.