Final answer:
To solve the expression (1/2)[32 + (40(-42))], you need to follow the order of operations (PEMDAS). Simplifying step by step, the expression simplifies to -824.
Step-by-step explanation:
To solve the expression (1/2)[32 + (40(-42))], we need to follow the order of operations, which is also known as PEMDAS. First, we need to solve any expressions within parentheses. In this case, we have (40(-42)), which means multiplying 40 by -42. This gives us -1,680. Now, we substitute this value back into the original expression to get (1/2)[32 + (-1,680)]. Next, we perform the addition inside the brackets. 32 + (-1,680) equals -1,648. Finally, we multiply the result by 1/2. (-1,648) * (1/2) gives us -824. Therefore, the expression (1/2)[32 + (40(-42))] simplifies to -824.
Learn more about Order of operations