Question

Are irrational numbers terminating?

Answer 1

No, irrational numbers are not terminating. By definition, an irrational number cannot be expressed as a fraction of two integers, which means that its decimal representation is non-terminating and non-repeating. In contrast, rational numbers can either be terminating (like 0.5) or repeating (like 0.333...). Examples of irrational numbers include \(\pi\) (approximately 3.14159...) and the square root of 2 (approximately 1.41421...), both of which have infinite, non-repeating decimal expansions.