Real Numbers

For positive integers a and b

For positive integers a and b, there exist unique whole numbers q (quotient) and r (remainder) such that a = bq + r, where 0 ≤ r < b. This fundamental

A systematic method to find

A systematic method to find the HCF of two positive integers by repeatedly applying the division algorithm until the remainder becomes zero. The last

Every composite number can be expressed

Every composite number can be expressed as a unique product of prime numbers, except for the order of factors. This factorization is called prime fact

A rational number p/q has

A rational number p/q has a terminating decimal expansion if and only if the denominator q (in lowest terms) has only powers of 2 and 5 as prime facto

Numbers that cannot be expressed

Numbers that cannot be expressed in the form p/q where p and q are integers and q ≠ 0. Examples include √2, √3, √5, π, and e. They have non-terminatin