Question

every rational number can be expressed as either terminating or repeating decimal

Answer 1

yes. of course every rational number can be expressed as either terminatting or repating decimal

Answer 2

$\huge\red {Hlo}$

1. The decimal expansion of a rational number always either terminates after finitely many digits or begins to repeat the same sequence of digits over and over.

2. Moreover,any repeating or terminating decimal represents a rational number.