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CBSE Class 10 Maths Revision Notes Chapter 1 Real Numbers Important class 10 maths questions for chapter 1 real numbers are provided here to help the students practice better and score well in their CBSE class 10 maths exam. These real numbers extra questions are as per NCERT book. It covers the complete syllabus and will help the students to develop confidence and problem-solving skills for their exams. NCERT solutions for class 10 maths chapter 1 � Real Numbers Exercise is the fourth exercise of Chapter 1 of class 10 Maths. After introducing Real Numbers in Class 9, it is discussed in further detail in Class In this class, It explains the rational numbers and their decimal expansions. The exercise discusses when exactly the decimal expansion of a rational number is terminating and when it is non . Access Answers of Maths NCERT Class 10 Chapter 1 � Real Number Exercise 1. Express each number as a product of its prime factors: (i) (ii) (iii) (iv) (v) Solutions: (i) By Taking the LCM of , we will get the product of its prime .
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Find the largest number which divides and leaving remainder 6 in each case. Using Euclid's division algorithm, find the largest number that divides , and leaving remainders 1, 2 and 3 respectively. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind.

He will naturally like to take the largest possible number each time. Can you tell how many animals went in each trip? Here, is a factor of so HCF is Euclid's algorithm works since Dividing 'a' by 'b', replacing 'b' by 'r' and 'a' by 'b' and repeating the process of division till remainder 0 is reached, gives a number which divides a Byjus Class 10 Maths Real Numbers Review and b exactly.

Note that do not find the HCF using prime factorisation in this question when the method is specified and do not skip steps. Numbers are of two types - prime and composite. Prime numbers has only two factors namely 1 and the number itself whereas composite numbers have factors other than 1 and itself. The given expression has 7 and 16 as its factors. Therefore, it is a composite number.

Find the least number that is divisible by all the numbers between 1 and 10 both inclusive. Prove that is an irrational number. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Hence, write the decimal expansion, without actual division. A rational number in its decimal expansion is What can you say about the prime factors of q, when this number is expressed in the form? Give reasons. Factorisation of can be done as follows. So, the correct option is a. If p and q are co-prime numbers then. We know that decimal expansion of a rational number is either terminating or non-terminating and recurring.

If n is any natural number, then 6 n - 5 n always ends with. For some integer m, every even integer is of the form. Hence, correct option is c. For some integer q, every odd integer is of the form. Hence, correct option is d. Now, when n is odd, i.

The decimal expansion of the rational number will terminate after. The least number that is divisible by all the numbers from 1 to 10 both inclusive is. The largest number which divides 70 and , leaving remainders 5 and 8, respectively, is. If the HCF of 65 and is expressible in the form 65m - , then the value of m is. The decimal expansion of the rational number will terminate after:. Enter the OTP sent to your number Change. Resend OTP. Don't miss this!

Ok Cancel. Ok Choose Chapter. Ok Choose Topic. Yes No. Choose Subjects. Choose Chapters. Chapter 1 - Real Numbers Exercise Ex. Question 2. Question 3. Question 4. For any positive integer n, prove that n 3 - n divisible by 6. Question 5. Question 6. Question 7. Question 8. Question 9.

Question Question 1 ii. Question 1 iii. Question 1 iv. Question 1 v. Question 1 vi. Question 1 vii. Question 1 viii. Question 1 ix. Question 1 x. Question 2 i. Use Euclid's division algorithm to find the HCF of: and Since the divisor at this stage is 45, therefore, the HCF of and is Question 2 iv. Use Euclid's division algorithm to find the HCF of , and Account Options Sign in.

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