- Home/
- CDS & Defence/
- Article
A non-terminating but recurring decimal is:
By BYJU'S Exam Prep
Updated on: September 25th, 2023
(a) A natural number
(b) An integer
(c) A whole number
(d) A rational number
A non-terminating but recurring decimal is a rational number. The term “rational numbers” refers to all numbers that can be transformed into the p/q form, where p and q are both integers and q≠0.
Table of content
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.
