Final answer:
The expression 8 - 7 - 2 × 2 ÷ 14 ÷ 2 evaluates to approximately 0.86 when following the order of operations (PEMDAS). None of the provided options match this result.
Step-by-step explanation:
To evaluate the given expression 8 - 7 - 2 × 2 ÷ 14 ÷ 2, we must follow the order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). However, multiplication and division are on the same level, as are addition and subtraction, and we perform these operations from left to right. Here's how:
- First, perform the multiplication and division: 2 × 2 = 4 and 4 ÷ 14 = 0.28 (approximately) then 0.28 ÷ 2 = 0.14 (approximately).
- Subtract that value from the previous ones: 8 - 7 - 0.14 = 0.86 (approximately).
Therefore the correct answer is none of the provided options. The nearest approximated answer could be 'Option 1: 4', but it's not exact.
Learn more about Order of Operations