0.101001000100001…

Which choice correctly describes the given number?
Responses
A terminating
B repeating
C rational
D irrational

D irrational

how

The given number, 0.101001000100001... does not fit the criteria of terminating, repeating, or rational numbers.

This number is irrational because it cannot be expressed as a fraction of two integers, and it cannot be written as a repeating or terminating decimal. The pattern of 1's and 0's does not repeat or terminate, indicating that the number extends infinitely without following a specific pattern.