`17.995 xx 16.005 + 15.999 xx 15.001 = ?`

Options

A. 513
B. 528
C. 440
D. 818

Answer

To solve the expression \( 17.995 \times 16.005 + 15.999 \times 15.001 \), we will use approximation to simplify the calculations.

### Step 1: Approximate the numbers
- For \( 17.995 \), we can round it to \( 18 \) because the decimal part \( 0.995 \) is greater than \( 0.5 \).
- For \( 16.005 \), we can round it to \( 16 \) because the decimal part \( 0.005 \) is less than \( 0.5 \).
- For \( 15.999 \), we can round it to \( 16 \) because the decimal part \( 0.999 \) is greater than \( 0.5 \).
- For \( 15.001 \), we can round it to \( 15 \) because the decimal part \( 0.001 \) is less than \( 0.5 \).

### Step 2: Rewrite the expression with approximated values
Now we can rewrite the expression using the approximated values:
\[ 18 \times 16 + 16 \times 15 \]

### Step 3: Calculate each multiplication
- Calculate \( 18 \times 16 \):
\[ 18 \times 16 = 288 \]
- Calculate \( 16 \times 15 \):
\[ 16 \times 15 = 240 \]

### Step 4: Add the results
Now, we add the two results together:
\[ 288 + 240 = 528 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{528} \]

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