Question

Which of the following are true statements? Select all that apply.

Answer 1

You are probably expected to choose ...
  • All integers are rational numbers.
  • Terminating decimals are rational numbers.

However, the premise of ...
  • 0.278254….. is a terminating decimal, therefore it is a rational number.
is False, so the rules of logic allow any conclusion—meaning the implication is True. (As it happens, a repeating decimal is, in fact, a rational number.) So, this, too, is a true statement.

Answer 2

*All integers are rational numbers.

*Terminating decimals are rational numbers.

Those are the correct answers.