`16.003xx27.998-209.010 = ?`

Options

A. 150
B. 200
C. 75
D. 240

Answer

To solve the expression \( 16.003 \times 27.998 - 209.010 \) using approximation, we can follow these steps:

### Step 1: Approximate the numbers
- **Approximate \( 16.003 \)**: Since \( 16.003 \) is very close to \( 16 \), we can approximate it as \( 16 \).
- **Approximate \( 27.998 \)**: The number \( 27.998 \) is very close to \( 28 \). Since the digit after \( 7 \) is \( 9 \) (which is greater than \( 5 \)), we round up \( 27 \) to \( 28 \).
- **Approximate \( 209.010 \)**: This number is already close to \( 209 \), so we can keep it as \( 209 \).

### Step 2: Rewrite the expression with approximated values
Now we can rewrite the expression using our approximations:
\[ 16 \times 28 - 209 \]

### Step 3: Perform the multiplication
Now, we calculate \( 16 \times 28 \):
\[ 16 \times 28 = 448 \]

### Step 4: Subtract the approximated value
Next, we subtract \( 209 \) from \( 448 \):
\[ 448 - 209 = 239 \]

### Step 5: Final approximation
Finally, we can approximate \( 239 \). Since \( 239 \) is closer to \( 240 \), we can round it to \( 240 \).

### Final Answer
Thus, the final answer is:
\[ \boxed{240} \]