Question

Irrationals
Consider the number 0.101001000100001…
Question 1
Which choice correctly describes the given number?
Responses
A terminatingterminating
B repeatingrepeating
C rationalrational
D irrationalirrational
Question 2
Which statement correctly classifies π as rational or irrational?
Responses
A Rational because it equals

.Rational because it equals 22 7 .
B Rational because it equals 3.14.Rational because it equals 3.14.
C Irrational because it has its own symbol.Irrational because it has its own symbol.
D Irrational because it doesn't equal a terminating or repeating decimal.Irrational because it doesn't equal a terminating or repeating decimal.

Answer 1

Question 1: D — irrational.
0.101001000100001… never terminates and the pattern of 1's with increasing zeros never repeats, so it's not a repeating decimal.

Question 2: D — irrational.
π is not a terminating or repeating decimal (and cannot be written as a fraction), so it is irrational.