3 answers
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0.101001000100001…
Which choice correctly describes the given number?
Responses
A terminating
B repeating
C rational
D irrational
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
3 months ago
![@~@](/images/users/0/1/128x128.jpeg)
3 months ago
how
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
3 months ago
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.