The decimal is non-terminating and non-recurring

MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number

Problem

The decimal

0.1010010001\ldots

is non-terminating and non-recurring. In which of the following sets does this number first appear? (a) Rational numbers

\mathbb{Q}

(b) Irrational numbers (c) Integers

\mathbb{Z}

(d) Real numbers

\mathbb{R}