Question

Evaluate. 4 [-5(2-4) ÷2] ⋅ (-2)

1) -18
2) negative 18
3) -6
4) negative 6
5) -2
6) negative 2
7) 6

Answer 1

The correct answer to evaluate the expression 4 [-5(2-4) ÷2] ⋅ (-2) is -40, which is obtained by correctly applying the order of operations (PEMDAS). Option 7 in the list is closest, though it's the incorrect answer.

Step-by-step explanation:

To evaluate the expression 4 [-5(2-4) ÷2] · (-2), we must follow the correct order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. First, perform the operation inside the parentheses: (2-4) equals -2.
2. Next, multiply -5 by -2, which gives us 10, because when two negative numbers are multiplied, the result is positive.
3. Then we need to divide 10 by 2 according to the order of operations which gives us 5.
4. Multiply 4 by 5 to get 20.
5. Finally, multiply 20 by -2. When a positive and a negative number are multiplied, the result is negative, giving us -40.

So, the correct answer to evaluate 4 [-5(2-4) ÷2] · (-2) is -40, which is not listed among the options provided.