Final answer:
The given expression {4 [−5(2−4)÷2]}⋅(−2) is evaluated using the order of operations, ultimately yielding a result of -40, which is not listed among the provided options.
Step-by-step explanation:
To evaluate the expression {4 [−5(2−4)÷2]}·(−2), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
- Inside the parentheses, calculate 2 - 4, which equals -2.
- Multiply -5 by -2, resulting in 10.
- Divide 10 by 2 to get 5.
- Multiply 4 by 5 to get 20.
- Finally, multiply the result by -2 to get -40.
Therefore, the expression evaluates to -40, which is not an option listed in the question. It appears there might be a mistake in the provided options or in the interpretation of the expression.