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: 
 
 
Big 
Puffy  Rats 
Make  Dora 
Always  Scared 

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 





24 –  (7 +  3 × 2  ) =  
24 –  (7 +  6  ) =  
24 –  13  =  11 

9 +  –4^{3}  ×  –  = 
9 +  –64  ×  –4  = 
9 +  256  = 265 
