`198.995 xx 12.005 + 16.25 xx 6.95 = ?`

Options

A. 2580
B. 2550
C. 2400
D. 2500

Answer

To solve the expression \( 198.995 \times 12.005 + 16.25 \times 6.95 \) using approximation, we can follow these steps:

### Step 1: Round the numbers to a suitable approximation
We will round the numbers to make the calculations easier:
- \( 198.995 \) can be approximated to \( 199 \)
- \( 12.005 \) can be approximated to \( 12 \)
- \( 16.25 \) can be approximated to \( 16 \)
- \( 6.95 \) can be approximated to \( 7 \)

### Step 2: Rewrite the expression with the approximated values
Now, we can rewrite the expression using the approximated values:
\[ 199 \times 12 + 16 \times 7 \]

### Step 3: Calculate each multiplication
Now we will perform the multiplications:
- Calculate \( 199 \times 12 \):
\[ 199 \times 12 = 2388 \]
- Calculate \( 16 \times 7 \):
\[ 16 \times 7 = 112 \]

### Step 4: Add the results of the multiplications
Now, we will add the results from the two multiplications:
\[ 2388 + 112 = 2500 \]

### Final Answer
Thus, the approximate value of the expression \( 198.995 \times 12.005 + 16.25 \times 6.95 \) is \( 2500 \).

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