To ensure that arithmetic calculations are performed consistently, we must follow the **order of operations**.

If an arithmetic expression contains brackets, exponents, multiplication, division, addition, and subtraction, we use the following procedure:

- Perform all operations inside a bracket first (the operations inside the bracket must be performed in proper order).
- ( ) are called
**parentheses** - [ ] are called
**brackets** - { } are called
**braces** - If a set of brackets are within another, these different bracket styles maintain the order in which the content within should be evaluated first, i.e. {4 + [7 â€“ (3 + 2)]}.

- ( ) are called
- Perform exponents.
- Perform multiplication and division in order as they appear from left to right.
- Perform addition and subtraction in order as they appear from left to right.

Several examples are explained below: