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Question
The decimal representation of an irrational number is ______.
Options
terminating
non-terminating
non-terminating repeating
non-terminating non-repeating
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Solution
The decimal representation of an irrational number is non-terminating non-repeating.
Explanation:
An irrational number is a number that cannot be expressed as a ratio of two integers.
Its decimal representation neither terminates nor repeats in a pattern.
Unlike rational numbers, which have either terminating or non-terminating repeating decimals, irrational numbers continue infinitely without any repetition.
For example, the decimal expansion of `sqrt(2)` is non-terminating and non-repeating, making it an irrational number.
Thus, the decimal representation of an irrational number is non-terminating and non-repeating.
