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Number Symbols
More commonly called numerals, symbols used to represent quantities

Operation Symbols
Symbols such as, + (add),  (subtract), x (multiply) and ÷ (divide), used to indicate action

Relation Symbols
symbols such as = (is equal to), > (is greater than), and < (is less than), used to show comparisons, as well as combinations such as (is greater than or equal to), (is less than or equal to), and the negations of all of these ( =, >, <, ) among others

Grouping Symbols
Symbols such as ( ) (parentheses), [ ] (brackets), and { } (braces), used to show groupings

Placeholder Symbols
 more commonly called variables, symbols such as a, b, c (letters of the alphabet) and empty boxes, used to hold the place of a number until the number has been identified

