Repeating or recurring decimals are decimal representations of numbers with infinitely repeating digits. Numbers with a repeating pattern of decimals are rational because when you put them into fractional form, both the numerator a and denominator b become non-fractional whole numbers.

Are all recurring numbers rational?

Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number. ... Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

Are irrational numbers non recurring?

Non-Terminating, Non-Repeating Decimal. A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers. Pi is a non-terminating, non-repeating decimal.