Math with Mr. J: Order of Operations

Introduction

• The order of operations is a set of rules or instructions to solve problems with multiple operations consistently.
• Ensures everyone uses the same method to reach the same solutions.

Order of Operations Steps (PEMDAS)

1. Parentheses
   • Solve expressions within parentheses first.
2. Exponents
   • Solve any exponents after parentheses.
3. Multiplication and Division
   • Perform from left to right; they have the same priority.
4. Addition and Subtraction
   • Perform from left to right; they also have the same priority.

• Acronym: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Examples

Example 1: 30 ÷ (13 - 8)

• Parentheses: 13 - 8 = 5
• Bringing Down: Now 30 ÷ 5
• Division: 30 ÷ 5 = 6
• Final Answer: 6

Example 2: 16 - 5 x 3 + 12

• No Parentheses
• No Exponents
• Multiplication: 5 x 3 = 15
• Bringing Down: 16 - 15 + 12
• Addition/Subtraction (Left to Right):
  • 16 - 15 = 1
  • 1 + 12 = 13
• Final Answer: 13

Example 3: 7² - 14 x 2

• No Parentheses
• Exponents: 7² = 49
• Bringing Down: 49 - 14 x 2
• Multiplication: 14 x 2 = 28
• Bringing Down: 49 - 28
• Subtraction: 49 - 28 = 21
• Final Answer: 21

Example 4: 18 ÷ (6 + 3) x 15

• Parentheses: 6 + 3 = 9
• Bringing Down: 18 ÷ 9 x 15
• Division (Left to Right): 18 ÷ 9 = 2
• Bringing Down: 2 x 15
• Multiplication: 2 x 15 = 30
• Final Answer: 30

Conclusion

• Remember to use PEMDAS to follow the correct sequence of operations.
• Work through problems step-by-step to ensure accuracy.
• Helps in achieving consistent and correct mathematical solutions.

• Closing Remarks: Thanks for watching, practice using PEMDAS for better understanding.