The brackets that are the most frequently used are :

the parentheses brackets() 

The square brackets[ ]

Braces { }

 

The main purpose of brackets are to specify the order of calculation

E.g.

2×(3+4)

=27

=14

 

Or in algebra is considered as multiply

E.g.

2(x-3)

=2x-6

 

Or they are used in coordinates

E.g. (2,5)

​

When a bracket is used in a bracket,

the outer bracket need to change it's appearance 

to minimize confusion

E.g.

2+[3×(5-2)-7]

=2+(3×3-7)

=2+(9-7)

=2+2

=4