`198.001 xx 25 + 112.05 xx 24.998 = ?`

Options

A. 7570
B. 7550
C. 7500
D. 7250

Answer

To solve the expression \(198.001 \times 25 + 112.05 \times 24.998\), we can use approximation to simplify the calculations.

### Step 1: Approximate the numbers
- Approximate \(198.001\) as \(198\).
- Approximate \(112.05\) as \(112\).
- Approximate \(24.998\) as \(25\).

### Step 2: Rewrite the expression
Now, rewrite the expression using these approximations:
\[ 198 \times 25 + 112 \times 25 \]

### Step 3: Factor out the common term
Notice that both terms contain \(25\) as a common factor:
\[ 25 \times (198 + 112) \]

### Step 4: Calculate the sum inside the parentheses
Now calculate \(198 + 112\):
\[ 198 + 112 = 310 \]

### Step 5: Multiply by the common factor
Now multiply \(310\) by \(25\):
\[ 25 \times 310 = 7750 \]

### Final Answer
Thus, the approximate value of the expression \(198.001 \times 25 + 112.05 \times 24.998\) is:
\[ \boxed{7750} \]

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