Final answer:
The expression (2 × 8 - 4² - 10/2) is evaluated by following the order of operations, resulting in a final answer of -5.
Step-by-step explanation:
The question asks us to evaluate the expression: (2 × 8 - 4² - 10/2). To solve this, we must follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's solve step-by-step:
- Multiplication: 2 × 8 = 16
- Exponents: 4² = 16
- Division: 10 / 2 = 5
- Now, we substitute these values into the expression: 16 - 16 - 5
- Subtraction: 16 - 16 = 0, then 0 - 5 = -5
Therefore, the expression evaluates to -5.