`9998 xx 999 = ?`

Options

A. 9997001
B. 9988002
C. 9987012
D. 9898012

Answer

To solve the multiplication problem \(9998 \times 999\), we can use a simpler approach by rewriting \(9998\) in terms of \(10000\):

### Step-by-Step Solution:

1. **Rewrite the number**:
\[ 9998 = 10000 - 2 \]
This means we can express the multiplication as:
\[ 9998 \times 999 = (10000 - 2) \times 999 \]

2. **Distribute the multiplication**:
Using the distributive property:
\[ (10000 - 2) \times 999 = 10000 \times 999 - 2 \times 999 \]

3. **Calculate \(10000 \times 999\)**:
\[ 10000 \times 999 = 9990000 \]

4. **Calculate \(2 \times 999\)**:
\[ 2 \times 999 = 1998 \]

5. **Subtract the two results**:
Now, we subtract \(1998\) from \(9990000\):
\[ 9990000 - 1998 = 9988002 \]

Thus, the final answer is:
\[ \boxed{9988002} \]