The word decimal comes from the Latin word Decem which means 1010. We represent rational as well as irrational numbers in the form of decimals. Common Core Creations Fractions And Decimals On A Number Line Rational Numbers Number Line Fractions Furthermore a decimal number can be expressed as a fraction. . Irrational numbers in decimal form are nonrepeating nonterminating decimals. They have no numbers in common. That is if you add the set of rational numbers to the set of. Rational numbers and irrational numbers are mutually exclusive. Furthermore they span the entire set of real numbers. Decimal numbers are the standard form of representing non-integer numbers. Examples of irrational numbers include and π.