# What are Parentheses in Math? Definition and Examples

In mathematics, parentheses () are commonly used to group expressions and to clarify that expressions inside the parentheses must be performed first.

**Example**

(4 + 5) × 6

9 × 6

54

Without the parentheses, you will end up with a different answer

4 + 5 × 6

4 + 30

34

## Other Common Uses of Parentheses in Mathematics

Parentheses can be used along with two other numbers, and a comma between the numbers to show the coordinate of a point. For example, (3, 5) is a point with x-coordinate 3 and y-coordinate 5.

Parentheses can also be used in connection with functions. When dealing with functions, f(x) replaces the letter y and represents the dependent variable. For example, it is OK to write f(x) = 2x - 8 instead of y = 2x - 8

In interval notation, (a, b) represents the set of all real numbers except a and b.

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