Question 195899:  Thoroughly explain the order of operations. 
 Answer by mathhelp101(1)      (Show Source): 
You can  put this solution on YOUR website! Hello!!  
let's use an example: 3 + 6 x (5 + 4) ÷ 3 - 7 
first you want to do everything in the parenthesis. (5+4) 
so then, it would be : 3+ 6 x 9 ÷ 3 - 7. 
Next you want to do the multiplication and division. I'll do it in two steps:
 
6 x 9 =54
 
3+ 54 ÷ 3 - 7
 
54 ÷ 3=18 
so you have: 3 +18 -7 
Combine 3 and 18 which is 21 then subtract 7 and you get an answer of: 14. 
The order of operations is :
 
 
Rule 1: First perform any calculations inside parentheses. 
Rule 2: Next perform all multiplications and divisions, working from left to right. 
Rule 3: Lastly, perform all additions and subtractions, working from left to right. 
 
  | 
 
  
 
 |   
 
 |