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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

Real numbers are those numbers that can be represented on the number line. Real numbers include the in-depth classification of numbers, its applications, and properties related to various kinds of numbers. In this particular chapter, we are going to talk about real numbers. The NCERT solutions for class 10 maths chapter 1 real numbers carry detailed explanations for each and every question. NCERT solutions for other subjects and classes can be downloaded by clicking on the above link.

Latest : Trouble with homework? Post your queries of Maths and Science with step-by-step solutions instantly. Ask Mr AL. Applying Euclid's Division algorithm we.

Let p be any positive integer. It can be expressed as. Q3 An army contingent of members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the ncert solutions of class 10th chapter number line number of columns in which they can march? Since remainder 0 we again apply Euclid's Division Algorithm.

The maximum number of columns in which they can march is ncert solutions of class 10th chapter number line. Let x be any positive integer. Case Hence proved. Q1 1 Express each number as a product of its prime factors: The number can be as a product of its prime factors as follows.

Q 1 2 Express each number as a product of its prime factors: The given number can be expressed ncert solutions of class 10th chapter number line follows. Q1 3 Express each number as a product of its prime factors: The number is expressed as the product of the prime factors as follows.

Q1 4 Express each number as a product of its prime factors: The given number can be expressed as the product of its prime factors as follows.

Q1 5 Express each number as a product of its prime factors: The given number can be expressed as the product of their prime factors as follows. Hence Verified. The number can be expressed as the product of prime factors as. The numbers can be written as the product of their prime factors as follows. The given numbers are written as the product of their prime factors as follows. Q5 Check whether can end with the digit 0 for any natural number n.

By prime factorizing we. A number will end with 0 if it has at least 1 as the power of both 2 and 5 in its prime factorization. Since the power of 5 is 0 in the prime factorization of 6 n we can conclude that for no value of n solktions n will end with the digit solutilns.

After Solving we observed that both the number are even numbers and the number rule says that we can take atleast two common out of two numbers. So that the number is composite number. Q7 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. 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? The time after which they meet again at the starting point ncert solutions of class 10th chapter number line be equal to the LCM of the times they individually take to complete one round.

Therefore they would again meet at the starting point after 36 minutes. Q1 Prove that is irrational. Let us assume is rational. It means can be written in the form where p and q are co-primes. Squaring both sides we obtain. From the above equation, we can see that p 2 is divisible by 5, Therefore p will also be divisible by 5 as 5 is a prime number. Therefore p can be written as 5r.

From the above equation, we can see that q 2 is divisible by 5, Therefore q will also be divisible by 5 as 5 is a solutons number. From i and ii we can see that both p and q are divisible by 5. This implies that p and q are not co-primes. This contradiction arises because our initial ncert solutions of class 10th chapter number line that is rational was wrong.

Hence proved that is irrational. Q2 Prove that is irrational. This means can be wriiten in the form where p and q are co-prime integers. As p and q are integers would be rational, this contradicts the fact that is irrational. Therefore is irrational. Q3 Prove that the following are irrationals :. This means can be written in the form where p and q are co-prime integers.

Since p and q are co-prime integers will be rational, this contradicts the fact that is irrational. Solutons 2 Prove that the following are irrationals :. Q3 3 Prove that the following are irrationals :. Therefore the given rational number will have a terminating decimal expansion.

The denominator is not of the form 2 a x 5 b. Therefore the given rational number will have a non-terminating repeating decimal expansion.

Q1 6 Without actually performing the long division, state whether the following rational ncery will have a terminating decimal expansion or a non-terminating repeating decimal expansion:. Q1 7 Without actually performing the long ncret, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:.

Q2 Write down the decimal expansions of those rational numbers in Question 1 above ncert solutions of class 10th chapter number line have terminating decimal expansions. Q3 1 The following real numbers have decimal expansions as given.

In each case, njmber whether they are rational or not. Therefore the given number is rational and has a terminating decimal expansion. Q3 2 The following real numbers have decimal expansions as given. Since the decimal part of the given number is non-terminating and non-repeating we can conclude that the given number is solutuons and cannot be Ncert Solutions Of Class 10th Chapter Number Applications written in the form where p and q are integers.

Q3 3 The following real numbers have decimal expansions as given. As the decimal part of the given number is non-terminating and repeating, the number is rational but its denominator will have factors other than 2 and 5.

CBSE Class 10 maths board exam will have the following types of questions from real numbers:. Now you have gone through the NCERT solutions for class 10 maths chapter 1 real numbers and have a good knowledge of answer writing in a structural manner. It's time to practice various kinds of problems based on real numbers.

Previous year papers will increase your dealing ability with a variety of questions. NCERT syllabus coverage and previous year papers are enough tools to get a good score in the board examination.

Using the NCERT Class 10 Maths ncert solutions of class 10th chapter number line chapter 1, students will be able to confirm the right answers once they are done solving the questions themselves. Therefore, the answers to all the questions are reliable. NCERT Class 10 solutions for Class 1 Maths gives the step by step solution to ncert solutions of class 10th chapter number line 10t questions which makes it easy for the students to understand.

According to guidelines of CBSE, minimum age to appear for class x must be 14 years. There is no upper limit to appear for class x cbse board. Some candidates give private exams or sometimes students fail in standard ix then they privately appear for class x then their age must be more than 14 Ncert Solutions Of Class 10th Geography Chapter 1 Number years.

Sometimes students appear for x class after one year gap of passing class ix then also their age would be 15 or 16 as there is no upper limit age. Hello sir I'm sorry to inform you but now you're not eligible to fill the registration form as last date to fill the registration Form was 9th December Yes examination gets postponed to May but portal to fill the registration form is not openin case if the registration form portal will open again you can fill the registration form and make the lije.

There you can get all the papers. Solving the previous year papers, will be very beneficial chpter you. So, solve as much papers as you. As per the latest CBSE Class 10 exam patternthe theory paper will be of 80 marks, while claxs marks will be lcass internal assessment.

To know more about exam pattern, please visit the link given. The 10th CBSE board exam will be conducted in offline mode only, These board exams will not be conducted in online mode.

Central Board of Secondary Education conducts class 10th board examination for regular and private 10fh.


This is called corrosion for e. Question 1. Problems related to finding polynomials, Properties zeros and coefficient, long division of polynomials, finding a quadratic polynomial, finding zeros of polynomials are scoring topics. Corrosion is the process in which metals are eaten up gradually by the action of air, moisture or a chemical on their surface. Solution: In this reaction, iron displaces copper from copper sulphate solution. Question 4.


You should know:

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