1. I CAN use the order of operations to perform arithmetic operations, including those involving whole number exponents.

2. Vocabulary
numerical expressions
simplify
order of operations

3. 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.

4. 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, a rule for evaluating expressions.
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.

5. 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

6. Example 1: Using the Order of Operations
Simplify the expression.
A. 15 – 10 ÷ 2
There are no parentheses or exponents.
15 – 10 ÷ 2
Divide.
15 – 5
Subtract. 10

7. Example 1: Using the Order of Operations
Simplify the expression.
B (21 ÷ 7)  5
9 + (21 ÷ 7)  5
Perform operations within parentheses.
 5
Multiply.
Add. 24

8. You Try! Example 1
Simplify the expression.
A. 12 – 6 ÷ 2
There are no parentheses or exponents.
12 – 6 ÷ 2
Divide.
12 – 3
Subtract. 9

9. You Try! Example 1
Simplify the expression.
B. 7 + (24 ÷ 6)  3
7 + (24 ÷ 6)  3
Perform operations within parentheses.
 3
Multiply.
Add. 19

10. Example 2: Using the Order of Operations with Exponents
Simplify the expression.
A  4
 4 4
There are no parentheses.
Find the value of numbers with exponents.
 4
Multiply.
Add. 40

11. Example 2: Using the Order of Operations with Exponents
Simplify the expression.
B. 24 ÷ (9 – 6)  32 – 10
24 ÷ (9 – 6)  32 – 10
Perform operations within parentheses.
24 ÷  32 – 10
Find the value of numbers with exponents.
24 ÷  9 – 10
 9 – 10
Divide.
Multiply.
– 10
Subtract. 62

12. You Try! Example 2
Simplify the expression.
A  7
 7
There are no parentheses.
Find the value of the number with the exponent.
 7
Multiply.
Add. 37

13. You Try! Example 2
Simplify the expression.
B. 32 ÷ (8 – 4)  22 – 12
32 ÷ (8 – 4)  22 – 12
Perform operations within parentheses.
32 ÷  22 – 12
Find the values of numbers with exponents.
32 ÷  4 – 12
 4 – 12
Divide.
Multiply.
32 – 12
Subtract. 20

14. Reflection
CAN YOU use the order of operations to perform arithmetic operations, including those involving exponents?

15. Lesson Quiz
Evaluate each expression.
 2
2. (12 – 5)2 – 10
 2 – 5
4. 43 – 30 ÷ 2 23 39 16 49

16. HOMEWORK
p. 24: 1-6, 8-19