https://file.aiquickdraw.com/mathbot/file/1724782881750epqdtwo7.jpg

Let's evaluate the expression step by step. The expression is:

\[
\left[\frac{3^2}{2} - (1 + 4)\right] \div 0.5
\]

### Step 1: Evaluate \(3^2\)
\[
3^2 = 9
\]

### Step 2: Divide by 2
\[
\frac{9}{2} = 4.5
\]

### Step 3: Add inside the parentheses
\[
1 + 4 = 5
\]

### Step 4: Subtract from 4.5
\[
4.5 - 5 = -0.5
\]

### Step 5: Divide by 0.5
\[
-0.5 \div 0.5 = -1
\]

The final answer is \(-1\), which corresponds to option **D**.

Do you want more details or have any questions?

Here are 5 related questions:

1. How do you evaluate expressions with exponents and division?
2. What is the importance of the order of operations (PEMDAS) in evaluating expressions?
3. How does dividing by a fraction (e.g., 0.5) affect the result?
4. Can you solve a similar expression where \(3^2\) is replaced by \(4^2\)?
5. What happens if the subtraction inside the brackets results in a positive number?

**Tip:** Always remember the order of operations (PEMDAS/BODMAS) when evaluating complex expressions to avoid mistakes.

Learn how to evaluate the expression (3^2 / 2 - (1 + 4)) / 0.5 step-by-step with a detailed explanation. This problem covers order of operations (PEMDAS), exponents, and division. Suitable for students in Grades 6-8.

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