Which of the following types of numbers can be expressed as a decimal that neither ends nor repeats?

Irrational numbers are those that cannot be expressed as a fraction of two integers, which means their decimal representation is non-terminating and non-repeating.

For example, the number (\sqrt{2}) is irrational. Its decimal form approximately is 1.414213..., and it continues infinitely without settling into a repeating pattern. Other well-known examples include numbers like (\pi) (approximately 3.14159...) and (e) (approximately 2.71828...). Since these numbers cannot be accurately represented as fractions or ratios of integers, they fall into this unique classification.

Whole numbers, rational numbers, and composite numbers do not share this characteristic. Whole numbers consist of non-negative integers, while rational numbers can be expressed as fractions that either terminate or repeat in their decimal forms. Composite numbers, which are integers that have more divisors than just one and themselves, also do not feature non-terminating, non-repeating decimals in their representation. Hence, the distinction of irrational numbers lies in their unique decimal behavior.