1. Course 1
Order of Operations
A numerical expression is a mathematical phase that includes only numbers and operation symbols.
Numerical Expressions
4 + 8 ÷ 2  6
371 –
5,006  19
When you evaluate a numerical expression, you find its value. When an expression has more than one operation, you must know which operation to do first. To make sure that everyone gets the same answer, we use the order of operations.

2. ORDER OF OPERATIONS 1. Perform operations in (parentheses)
2. Find the values of numbers with
exponents. 33 = 3 x 3 x 3 = 27
3. Multiply or divide from left to right as
ordered in the problem.
4. Add or subtract from left to right as
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3. Order of Operations Helpful Hint
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Order of Operations
The first letters of these words can help you remember the order of operations.
Please Parentheses
Excuse Exponents
My Multiply
Dear Divide
Aunt Add
Sally Subtract
Helpful Hint

4. Using the Order of Operations
Evaluate each expression.
A ÷ 2
There are no parentheses or exponents.
Divide.
Add. 20

5. Using the Order of Operations
Evaluate each expression.
B. 12 – 6 ÷ 2
There are no parentheses or exponents.
Divide.
12 – 3
Subtract. 9
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6. P E M D A S 10 28 9 11 Order of Operations 1. 8 + 4 – 2 2. 9  3 + 1
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Order of Operations
P E M D A S
Perform the operations in order from left to right.
– 2
2. 9  3 + 1
3. 7 – 3 + 5
4. 20 ÷ 4 + 6 10 28 9 11

7. Using the Order of Operations C. 3  (4 + 7) + 22
Perform operations within parentheses.
3 
Find the value of the number with exponents.
3 
Multiply.
Add. 37

8. Using the Order of Operations A. 2  (3 + 6) + 42
Perform operations within parentheses.
2 
Find the value of the number with exponents.
2 
Multiply.
Add. 34

9. Using the Order of Operations
B ÷  32
There are no parentheses. Find the value of the number with exponents.
÷  9
Divide.
 9
Multiply.
Subtract. 55
Add.

10. Using the Order of Operations
C ÷  23
There are no parentheses. Find the value of the number with exponents.
÷  8
 8
Divide.
Multiply.
Add.
Add. 43

11. Mr. Kelley spent $39 on CDs and DVDs.
Using the Order of Operations
Mr. Kelley bought 6 used CDs for $4 each and 5 used DVDs for $3 each. Evaluate the following expression to find the amount Mr. Kelley spent.
6   3 39
Mr. Kelley spent $39 on CDs and DVDs.

12. Using the Order of Operations
Ms. Nivia bought 4 new CDs for $8 each and 6 used CDs for $4 each. Evaluate the following expression to find the amount Ms. Nivia spent on CDs.
4   4 56
Ms. Nivia spent $56 on CDs.

13. Order of Operations -- Lesson Quiz
Evaluate each expression.
 2
2. (12 – 5)2 – 10
 2 – 5
4. 43 – 30 ÷ 2
5. Chaz bought 4 Pokémon cards for $2 each and 8 Star Wars cards for $3 each. Evaluate the expression to find the amount Chaz spent on cards: 4   3. 23 39 16 49
$32
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