Question

Class 10

Mathematics

Chapter 1 - Real numbers

Formulas Needed

Quality Answer Needed





Quality Answer Needed​

Answer 1

Answer:

• u can find the formulas at the back of chapter in summary

Answer 2

Required formulae and related concepts:-

Euclid's division lemma:

• For given positive integers, let a and b there exist whole numbers q and r satisfying a = bq + r where 0 $\leqslant$ r < b.

Euclid's division algorithm:

• Algorithm refers to some kind of steps.

• Hence, Euclid's division algorithm refers to the steps we perform to compute the HCF of two positive integers by using Euclid's division lemma.

Fundamental theoram of Arithmetic:

• Every composite number can be expressed or factorised as the product of primes and this factorisation is unique.

• Keep in mind that, Except their order in which prime factors occurs.

Other small concepts and statements:

• Let a be any positive integer and p be a prime number such that p | a², then p | a (It means, a² is divisible by p means a is also divisible by p)

• Rational numbers have either terminating or non terminating recurring decimal expansion.

• Check whether a rational number terminates or not: Let x be any rational number which can be expressed in p/q form. Then, prime factorisation of q must be in the form ${2}^{m} \times {5}^{n}$

• It will terminate after k decimal places where k is the larger among m and n.

Note:-

• These are the basic concepts and formulae related to the chapter referred. Understand them with the help of examples and try out some questions from your book.

• In exams, you can write the statement or theorams while calculating. But take care of time as well. Good luck! :D