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Main Idea and Vocabulary Key Concept: Order of Operations Example 1: Use Order of Operations Example 2: Use Order of Operations Example 3: Use Order of Operations Example 4: Use Order of Operations Example 5: Real-World Example Lesson Menu

Evaluate expressions using the order of operations. numerical expression order of operations Main Idea/Vocabulary

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Use Order of Operations Evaluate 27 – (18 + 2). 27 – (18 + 2) = 27 – 20 Add first since 18 + 2 is in parentheses. = 7 Subtract 20 from 27. Answer: 7 Example 1

Evaluate 45 – (26 + 3). A. 16 B. 22 C. 42 D. 74 Example 1

Use Order of Operations Evaluate 15 + 5 ● 3 – 2. 15 + 5 ● 3 – 2 = 15 + 15 – 2 Multiply 5 and 3. = 30 – 2 Add 15 and 15. = 28 Subtract 2 from 30. Answer: 28 Example 2

Evaluate 32 – 3 ● 7 + 4. A. –1 B. 15 C. 125 D. 207 Example 2

Use Order of Operations Evaluate 12 × 3 – 22. 12 × 3 – 22 = 12 × 3 – 4 Find the value of 22. = 36 – 4 Multiply 12 and 3. = 32 Subtract 4 from 36. Answer: 32 Example 3

Evaluate 9 × 5 + 32. A. 51 B. 54 C. 126 D. 514 Example 3

Use Order of Operations Evaluate 28 ÷ (3 – 1)2. 28 ÷ (3 – 1)2 = 28 ÷ 22 Subtract 1 from 3 inside the parentheses. = 28 ÷ 4 Find the value of 22. = 7 Divide. Answer: 7 Example 4

Evaluate 36 ÷ (14 – 11)2. A. 3 B. 4 C. 6 D. 9 Example 4

MONEY Julian is buying one box of favors, one box of balloons, and three rolls of crepe paper. What is the total cost? Example 5

1  7 + 1  5 + 3  2 = 7 + 5 + 6 Multiply from left to right. × number of favors cost of favors number of balloons number of crepe paper cost of crepe paper cost of balloons + 1 $7 3 $2 $5 × + 1  7 + 1  5 + 3  2 = 7 + 5 + 6 Multiply from left to right. = 18 Add. Answer: So, the total cost is $18. Example 5

What is the total cost of two boxes of favors, two boxes of balloons, and six rolls of crepe paper? Example 5

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