The document discusses the proper order of operations when evaluating mathematical expressions. It lists the order as 1) operations within parentheses, 2) exponents, 3) multiplication and division from left to right, and 4) addition and subtraction from left to right. It provides examples of evaluating expressions step-by-step according to this order of operations.

1. Order of Operations P lease E xcuse M y D ear A unt S ally 1) Parentheses 2) Exponents 3) Multiplication and Division (left to right) 4) Addition and Subtraction (left to right) Example: 3 + 4 ∙ 2 3 + 8 11

2. Order of Operations P lease E xcuse M y D ear A unt S ally 1) Parentheses 2) Exponents 3) Multiplication and Division (left to right) 4) Addition and Subtraction (left to right) Example: 2 ∙ (3 + 4) 2 ∙ 7 14

3. Order of Operations P lease E xcuse M y D ear A unt S ally 1) Parentheses 2) Exponents 3) Multiplication and Division (left to right) 4) Addition and Subtraction (left to right) Example: 2 ∙ 4 + 10 ÷ 5 8 ∙ + 10 ÷ 5 8 + 2 10

4. Order of Operations P lease E xcuse M y D ear A unt S ally 1) Parentheses 2) Exponents 3) Multiplication and Division (left to right) 4) Addition and Subtraction (left to right) Example: 2 2 ∙ (4 - 2) + 3 2 2 ∙ 2 + 3 4 ∙ 2 + 3 8 + 3 11

5. Order of Operations Example: [3 2 ∙ (6 - 3)] + 6 [3 2 ∙ 3 ] + 6 [ 9 ∙ 3] + 6 27 + 6 33

6. Order of Operations Example: 2 ∙ (8 - 2) 3 ∙ 3 - 3 2 ∙ 6 9 - 3 12 6 2