What are the differences of rational numbers and irrational numbers?

Answer 1

Rational and Irrational Numbers are both real numbers. Rational numbers are those that can be expressed as a ratio of two integers, a/b where b is not 0. An irrational number cannot.

Equivalently, a rational number can be expressed as a terminating or recurring decimal, an irrational number cannot. Or more generally, a rational number can be expressed as a terminating or recurring sequence of digits in any integer base (eg binary or hexadecimal), an irrational number cannot.

Although there are an infinite number of rationals and irrationals, the order of infinity of irrationals is greater.