Question

Mark the correct alternative in the following:

Which one of the following is a correct statement?

Options

• Decimal expansion of a rational number is terminating

• Decimal expansion of a rational number is non-terminating

• Decimal expansion of an irrational number is terminating

• Decimal expansion of an irrational number is non-terminating and non-repeating

Answer 1

The decimal expansion of an irrational number is non-terminating and non- repeating. Thus, we can say that a number, whose decimal expansion is non-terminating and non- repeating, called irrational number. And the decimal expansion of rational number is either terminating or repeating. Thus, we can say that a number, whose decimal expansion is either terminating or repeating, is called a rational number.