# Real Numbers For Class 10

A real number includes all the rational numbers (3, 5/9 etc.) and irrational numbers ($\sqrt{3}, \sqrt{7}$ etc.)

Euclid’s Division Lemma-

For a given positive integer a and b, there exist unique integers q and r satisfying $a = bq+ r, 0 \leq r < b$.

Fundamental Theorem of Arithmetic-

Every composite number can be expressed (factorised) as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur.

Example- $36 = 2^{2} \times 3^{2}$<

#### Practise This Question

Represent the following equations graphically:
x+y=10
10x+y+10y+x=110