What Is the Roster Method in Algebra?

By Staff WriterLast Updated Mar 28, 2020 3:28:07 AM ET

In algebra, the roster method defines sets by clearly listing each of the individual elements of the set. The elements of the set are enclosed in curled brackets and each of these elements is separated by a comma.


The roster method is used to define sets in algebra. A set is any collection of objects. According to Regents Exam Preparation Center at Oswego City School District in New York, the items contained within a set are called elements, and the elements in a set do not repeat.

According to Math-for-all-grades, a mathematics educational website, capital letters are used for denoting sets, whereas small letters are used for denoting elements of the set in curly brackets.

According to the roster method, the set of vowels would be represented as follows:

      V = {a, e, i, o, u}

Here, the capital letter V represents the set of vowels in English. The elements, that is, vowels, are denoted by small letters. These vowels are separated by commas and enclosed in curly brackets.

The set of first five even numbers is represented by the roster method as follows:

   A = {2, 4, 6, 8, 10}

Here, the elements of the set are numerical and not alphabetical.