A non-terminating but recurring decimal is:

Non-terminating but Recurring Decimal

A decimal that never ends but repeatedly repeats one or more values following the decimal point is known as non-terminating but repeating decimal.

Example for Non-terminating but recurring decimal: 0. 5555......, 0.171717......, 0.15222222...

These numbers are also written in the form of p/q.

i.e 0.5555....... = 5/9, 0.171717...... = 17/99 etc.

Therefore, a decimal that repeats but does not terminate is always a rational number. Examples of rational numbers are 3/4, 1/5, 1/2, etc.

Summary:

A non-terminating but recurring decimal is? (a) A natural number (b) An integer (c) A whole number (d) A rational number

A decimal that repeats but does not terminate is always a rational number. A number can be expressed as the fraction or quotient p/q of two integers, a numerator p, and a non-zero denominator q.