Roster Method in Math

Roster Method in Math:

The roster method in math is  called as tabular method. In roster method a set{} which denotes the set of data’s and by listing all the elements of the set, that elements will be separated by commas  like {1,2,5} A set containing 8,4,6,3,11,8 is Written as {8,4,6,3,11,8} in Roster method.

The two methods of the notation sets which can be given as follows,

Roster method
Builder method
Let us see about the roster method of math as given below.


Roster Method in Math:


The roster method of math is the list or diagram of the ordered elements, when the rule is the equivalent form which will be using the selection of elements from a domain matching a rule.


The Roster method is one of two ways of representing that the elements of a set using brackets, {}.For example, all even numbers under 14 would be represented as : {2,4,6,8,10,12}.


The roster method is often associated with 'roster and rule' this is a way of finding a rule that the elements of a set follow. Sets can be generally comprise any list of items or numbered lists.

Examples of Roster method in Math:


Example  Sets 1:

Write each of the following sets in the roster form

i) P =  Set of all factors  of 34

ii) Q= set of all odd numbers less than 15

iii)R  = Set of all even numbers  less than 20

iv)S= set of all letters in the Word,'TUTORVISTA'

Solution:

i)All the factors of 34 are 1,2,17

Therefore,P={1 ,2,17}

ii) Q = All odd numbers less than 15 are 1,3,5,7,9,11,13

Therefore,Q={1,3,5,7,9,11,13}

iii)R=All even numbers less than 20 are 2,4,6,8,10,12,14,16,18.

Therefore ,R= {2,4,6,8,10,12,14,16,18}

iv) The set of all letters in the word,'TUTORVISTA'

Therefore ,S ={T,U,O,R,V,I,S,A}

Example Set 2:

1)Set of all prime numbers between 10  to 20

Solution:

Prime numbers between 10 to 20 ⇒ 11,13,17,19

Using roster method ,In the form of set notation ,

Prime numbers between 10 to 20 ⇒   {11,13,17,19}

2)The set of all letters in the word,' ROSTER METHOD IN MATH'

Solution:

Note: The set contains the alphabets only once.

Therefore, The set of all letters in the word,' ROSTER METHOD IN MATH'

Set ⇒ {R,O,S,T,E,M,H,D,I,N,M,A}

Example in the form of Perfect roster Method in Math:

1)X =`{(1/2),(5/4),(4/6)}` is a set of fraction numbers.

2) Y   ={English,Math,Science,Biology} is  a set of subjects.

3) Z  = {Banana,Mango} is a set of  fruits .