`8.65 - [ 4 + 0.5 "of" (8.8 - 2.3 xx 3.5)]`

Options

A. 4.725
B. 4.275
C. 3.275
D. 4.527

Answer

To solve the expression \( 8.65 - [ 4 + 0.5 \text{ of } (8.8 - 2.3 \times 3.5)] \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the innermost bracket**:
We start with the expression inside the innermost bracket: \( 8.8 - 2.3 \times 3.5 \).

2. **Perform multiplication first**:
Calculate \( 2.3 \times 3.5 \):
\[ 2.3 \times 3.5 = 8.05 \]

3. **Substitute back into the expression**:
Now substitute this value back into the expression:
\[ 8.8 - 8.05 \]

4. **Perform the subtraction**:
Calculate \( 8.8 - 8.05 \):
\[ 8.8 - 8.05 = 0.75 \]

5. **Substitute this value into the next bracket**:
Now substitute \( 0.75 \) back into the expression:
\[ 4 + 0.5 \text{ of } 0.75 \]

6. **Calculate \( 0.5 \text{ of } 0.75 \)**:
This is equivalent to \( 0.5 \times 0.75 \):
\[ 0.5 \times 0.75 = 0.375 \]

7. **Add this value to 4**:
Now we add \( 0.375 \) to \( 4 \):
\[ 4 + 0.375 = 4.375 \]

8. **Substitute back into the original expression**:
Now we substitute \( 4.375 \) back into the original expression:
\[ 8.65 - 4.375 \]

9. **Perform the final subtraction**:
Calculate \( 8.65 - 4.375 \):
\[ 8.65 - 4.375 = 4.275 \]

### Final Answer:
The final answer is \( 4.275 \).