Consider the number 0.101001000100001…

Question

Question 1
Which choice correctly describes the given number?
Responses
A terminating
B repeating
C rational
D irrational

Question 2
Which statement correctly classifies π as rational or irrational?
Responses
A Rational because it equals 22/7 .
B Rational because it equals 3.14.
C Irrational because it has its own symbol.
D Irrational because it doesn't equal a terminating or repeating decimal.

Answer 1

The given number 0.101001000100001… is a repeating decimal because it has a repeating pattern of digits.

As for the classification of π:

π is irrational because it doesn't equal a terminating or repeating decimal. It is a non-repeating, non-terminating decimal. Therefore, the correct answer is D - Irrational because it doesn't equal a terminating or repeating decimal.