A number ‘r’ is called a  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating number, if it can be written in the form p/q ,where p and q are integers and q ≠ 0.

A number ‘s’ is called  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating, if it cannot be written in the form p/q, where p and q are integers and q ≠ 0.

The decimal expansion of a rational number is either  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating or  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating recurring.

The decimal expansion of an irrational number is  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating non-recurring.

Every point on the number line represents one and only one  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating.

All the rational and irrational numbers make up the collection of  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating.

If r is rational and s is irrational, then r + s and r – s are irrational numbers, and rs and r/s are  irrationalnonterminatingnon-terminatingrationalreal numberreal numbersterminating numbers, r ≠ 0.