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
0≤r<b.
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