# Arithmetic » Basic rules/calculation order

## The calculation order in arithmetic is:

1. What is between Brackets
2. Powers and Roots from left to right
3. Multiplications and Divisions from left to right
4. Additions and Subtractions from left to right

In a lot of countries they use the term parentheses instead of brackets.

In operators/signs:     In letters:      Mnemonic:

 ( ) #2 √ × : + –

 B P R M D A S

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To reduce the risk of a mistake, you solve these exercises with intermediate steps.

Note: Writing intermediate steps is different from making calculations.
Take a look at the examples below. In the first exercise the calculation '3 × 5 = 15' is not written down! Because you changed 3 × 5 in your intermediate step to 15 you show that that is what you calculated.

Examples

 12 + 3 × 5 = 12 + 15 = 27
 12 : 2 – 2 × 2 = 6 – 4 = 2

 18 : 3 × 2 = 6 × 2 = 12
 (3 + 4) × 9 = 7 × 9 = 63

 24 – (7 + 3 × 2 ) = 24 – (7 + 6 ) = 24 – 13 = 11
 9 + –43 × – = 9 + –64 × –4 = 9 + 256 = 265