Real Numbers Class 10 Maths – Chapter 1

Real Number Class 10 Maths, deals with various concepts which are as under:-

  • Euclid’s Division Algorithm – Concepts and Examples
  • Euclid’s Division Lemma
  • The Fundamental Theorem of Arithmetic
  • Irrational Numbers
  • Rational Numbers and Their Decimal Expansions

Concept of Euclid’s Division Algorithm – Real Numbers Class 10

Euclid’s division Algorithm is  a technique to compute the Highest Common Factor (HCF) of two given positive Integers.

Euclid’s Division Algorithm Example

Find HCF of 12576 and 4052 using Euclid’s Division Algorithm?


Euclid’s Division Lemma

For 2 positive integers a and b, there exist unique integers q and r, which satisfy

a = bq + r

Finding HCF and LCM using Fundamental theorem of Arithmetic

Finding largest no that divides 2 given numbers and leave particular remainder

Finding whether a Rational Number have terminating decimal expansion without performing long division

Placing equal number of books in a library rack using Euclid’s Division Algorithm

Show positive odd integer being of Form 4q plus 1 and 4q plus 3

Show positive even integer being of Form 2q and positive odd integer being 2q plus 1

Real Numbers Class 10 – Square root of 2 is irrational

Square root of 3 is irrational

Real Numbers Class 10 – Rational Numbers having terminating decimal expansion

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