QUESTION IMAGE
Question
is 8.141141114... a rational or irrational number?
choose the correct answer below.
irrational number
rational number
Step1: Define rational/irrational numbers
Rational numbers have repeating/terminating decimal expansions; irrational numbers have non-repeating, non-terminating decimal expansions.
Step2: Analyze given number's decimal
The number 8.141141114... has a decimal pattern where the number of 1s between 4s increases, so it does not repeat, and it does not terminate.
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irrational number