Evaluate the expression (3 + 4) × 2 - 6 ÷ 3 using PEMDAS.

Evaluate the expression (3 + 4) × 2 - 6 ÷ 3 using PEMDAS.

• A. 6
• B. 14
• C. 13
• D. 12

Answer: (D)

Begin with the order of operations. First evaluate inside the parentheses: 3 + 4 gives 7. Next, deal with multiplication and division from left to right: 7 × 2 equals 14, and 6 ÷ 3 equals 2. Finally, handle addition and subtraction from left to right: 14 − 2 equals 12. So the expression evaluates to 12. This shows why the order matters: doing the operations in the wrong order would lead to a different result.

Begin with the order of operations. First evaluate inside the parentheses: 3 + 4 gives 7. Next, deal with multiplication and division from left to right: 7 × 2 equals 14, and 6 ÷ 3 equals 2. Finally, handle addition and subtraction from left to right: 14 − 2 equals 12. So the expression evaluates to 12. This shows why the order matters: doing the operations in the wrong order would lead to a different result.