1. Order of Operations #2

2. When you simplify a numerical expression, you find its value.
A numerical expression is a mathematical phrase that includes only numbers and operation symbols.
Numerical Expressions
4 + 8 ÷ 2  6
371 –
5,006  19
When you simplify a numerical expression, you find its value.

3. 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.
ORDER OF OPERATIONS
1. Perform operations in parentheses.
2. Find the values of numbers with exponents.
3. Multiply or divide from left to right as ordered in the problem.
4. Add or subtract from left to right as ordered in the problem.

4. 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

5. Example 1: Using the Order of Operations
Simplify the expression.
15 – 10 ÷ 2

6. Example 2: Using the Order of Operations
Simplify the expression.
9 + (21 ÷ 7)  5

7. Example 3
Simplify the expression.
7 + (24 ÷ 6)  3

8. Example 4: Using the Order of Operations with Exponents
Simplify the expression.
24 ÷ (9 – 6)  32 – 10

9. Example 5
Simplify the expression.
32 ÷ (8 – 4)  22 – 12

10. Real-World Application 1
Mr. Kellett bought 6 used CDs for $4 each and 5 used CDs for $3 each. Simplify the following expression to find the amount Mr. Kellett spent on CDs.
6   3

11. Real-World Application 2
Ms. Nivia bought 4 new CDs for $8 each and 6 used CDs for $4 each. Simplify the following expression to find the amount Ms. Nivia spent on CDs.