Question & Answer » Mathematics Questions » The Decimal Expansion of an Irrational Number Maybe _______

The Decimal Expansion of an Irrational Number Maybe _______

Explanation:

The decimal expansion of an irrational number may be Non-terminating and Non-repeating.

One sort of decimal expansion is non-terminating and non-repeating decimals, in which the number following the decimal point is non-terminating and the decimal numbers do not repeat.

  • 1.6548… is an example of a non-terminating and non-terminating decimal. The numbers following the decimal point are limitless and do not repeat themselves.
  • An irrational number is a real number that cannot be stated as an integer ratio, for example, √ 2.
  • The decimal expansion of an irrational number is neither terminating nor recurrent.
  • Irrational numbers are real numbers that cannot be expressed in p/q form, where p and q are integers and q is not equal to zero.
  • The numbers √ 2 and √ 3 are examples of irrational numbers. Any number with the form of p/q, where p and q are integers and q is not equal to zero, is considered a rational number.
  • Because it is non-terminating, Pi (π) is an irrational number. Pi’s estimated value is 22/7, or 3.14…