Nonterminating decimals are numbers that do not have an end or a repeating pattern of digits after the decimal point. They go on infinitely without repeating. The digits after the decimal point can continue indefinitely in a seemingly random sequence. Nonterminating decimals are also known as irrational numbers. Examples of nonterminating decimals include the square root of 2 (approximately 1.41421356), pi (approximately 3.14159265), and the golden ratio (approximately 1.61803398875).