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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
4.20 Order of Operations

When you have more than one arithmetic operation, use the following rules to decide on the order in which you should perform the operations:
  1. First perform any calculations inside parentheses.
  2. Next perform all multiplications and divisions, working from left to right.
  3. Lastly, perform all additions and subtractions, working from left to right.
P E M D A S

Letters in PEMDAS stand for:
P - Parenthesis
E - Exponents
MD - Multiplication or Division from left to right
AS - Addition or Subtraction from left to right
The following phrase helps students remember the PEMDOS rule further:
Please Excuse (My Dear) (Aunt Sally).

Example : Solve (9 + 7) 2 + 4 5
Solution :
=(9 + 7) 2 + 4 5
=16 2 + 4 5
=32 + 20
Answer: 52


Directions: Use the above rules for order of operations and find the correct answers to the following questions. Also write at least ten examples of your own.
Q 1: 7 + 3 x 2 =
Answer:

Q 2: (7 + 3) x 2 =
Answer:

Q 3: 7 + (3 x 2) =
Answer:

Q 4: 3 + 6 x 9 =
Answer:

Q 5: (3 + 6) x 9 =
Answer:

Q 6: 3 + (6 x 9) =
Answer:

Q 7: (43 - 13) x 3 =
Answer:

Q 8: 43 - 13 x 3 =
Answer:

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Question 10: This question is available to subscribers only!


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