Compute of `69696 xx 9999=?`

Options

A. 696980304
B. 666890304
C. 695800304
D. 696890304

Answer

To compute \( 69696 \times 9999 \), we can use a simpler approach by rewriting \( 9999 \) as \( 10000 - 1 \). This allows us to use the distributive property of multiplication.

### Step-by-Step Solution:

1. **Rewrite the multiplication**:
\[ 69696 \times 9999 = 69696 \times (10000 - 1) \]

2. **Apply the distributive property**:
\[ 69696 \times 9999 = 69696 \times 10000 - 69696 \times 1 \]

3. **Calculate each term**:
- First term:
\[ 69696 \times 10000 = 696960000 \]
- Second term:
\[ 69696 \times 1 = 69696 \]

4. **Subtract the second term from the first**:
\[ 696960000 - 69696 \]

5. **Perform the subtraction**:
- Align the numbers:
\[ \begin{array}{r} 696960000 \\ - \quad 69696 \\ \hline \end{array} \]
- Start subtracting from the rightmost side:
- From the last digit: \( 0 - 6 \) (borrow)
- Continue this process until you reach the leftmost digit.

After performing the subtraction, we find:
\[ 696960000 - 69696 = 696890304 \]

### Final Answer:
\[ 69696 \times 9999 = 696890304 \]