Question

Write three numbers whose decimal expansions are non-terminating, non-recurring.

Answer 1

The number which has an infinite number of digits after the decimal point without any pattern of repetition of digits is known as non-terminating non-recurring decimal.

Non-terminating, non-recurring decimals are also known as Irrational numbers.

Now, lets form Non-terminating, non-recurring decimals.

$0.505005000500005000005\dots .$

$0.7207200720007200007200000\dots$

$0.080080008000080000080000008\dots$
$\pi$ is also a non-terminating, non-recurring decimal.

$\pi =\mathrm{3.14159265......}$