Is a fraction a real number, rational number, irrational number ?

1 Answer
Jun 28, 2015

Answer:

A fraction of two integers is a rational number. It is also a real number.

Explanation:

Integers are the numbers: #0, 1, -1, 2, -2, 3, -3,...#

Rational numbers are any number that can be expressed as #p/q# where #p# and #q# are integers and #q != 0#. So #5#, #12.42#, #-17/3# and #0# are rational numbers.

There are infinitely many rational numbers, but they do not form a continuous line. The continuous line of numbers is called the real number line. It includes all the previous numbers we have mentioned, but also numbers like #sqrt(2)#, #pi# and #e#, which are not rational.

Irrational numbers are any real numbers that are not rational.