Order of Operations
Lesson
Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

 

When you have more than one operation in a math problem, you must solve it following the correct ORDER OF OPERATIONS.
 
Copy the problem over exactly as it is written
Go through each level of operations

Parentheses      
  Exponents    
    Multiply or Divide  
      Add or Subtract

  Do the operations within each level from left-to-right.
 
  Write the answer directly below the operation sign.
 
  Do not 're-use' any numbers
 
  Continue until all the operations are completed
 

It is always helpful to make up a phrase (called an acronym) using the first letters of each step in the order of operations that will help you remember it . A very popular one is: Please Excuse My Dear Aunt Sally.
 


Sample Problems

3 + 4 * 6 = ?
Multiply or Divide   3 + 4 * 6 =
Add or Subtract    3 + 24 =
Answer:    27

15 - 3 * 2 + 8 = ?
Multiply or Divide   15 - 3 * 2 + 8 = Remember, when doing an operation more than once in a problem, you need to work from left-to-right
Add or Subtract   15 - 6 + 8 =
Add or Subtract 9 + 8 =
Answer: 17

8 + 3(6 + 3) = ?
Parentheses   8 + 3(6 + 3)= Parentheses  also mean to multiply, so after doing the operation inside the parentheses, we need to put an * in.
Multiply or Divide   8 + 3 * 9 =
Add or Subtract   8 + 27 =
Answer:   35

52 + 4 - 2(6 + 5) = ?
Parentheses   52 + 4 - 2(6 + 5) =  
Exponents   52  + 4 - 2 * 11 =
Multiply or Divide   25 + 4 - 2 * 11 =
Add or Subtract   25 + 4 - 22 =
Add or Subtract   29 - 22 =
Answer:   7

Let's Practice!

 
Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

Created by Patty Sawyer
Updated by Carol Carroll

Copyright © 2001-06 Oswego City School District