Question

An irrational number has ________

(a) Non-terminating decimal

(b) Non-repeating decimal

(c) Non-terminating and non-repeating decimal

(d) Terminating decimal

The question was posed to me in semester exam.

Origin of the question is Irrational and Rational Numbers in division Real Numbers of Mathematics – Class 10

Answer 1

The correct choice is (c) Non-terminating and non-repeating decimal

To explain I would say: An irrational number has both non-terminating as well as non-repeating decimals.

For example, the number 1.353353335… has non-terminating as well as non-repeating decimals.