4 point 5 plus pi is

The number 4.5 is rational because it can be written as 9/2. Adding a rational number to π, which is irrational, gives an irrational number. Thus 4.5 + π is irrational, with a non-terminating, non-repeating decimal expansion, so the correct choice is “irrational because it is a non-terminating and non-repeating decimal.”

AI-written and checked against the verified answer.