`469157 xx 9999 = ?`

Options

A. 4586970843
B. 4686970743
C. 4691100843
D. 4586870843

Answer

To solve the multiplication \( 469157 \times 9999 \), we can use a mathematical trick that simplifies the calculation.

### Step-by-Step Solution:

1. **Rewrite 9999**:
We can express \( 9999 \) as \( 10000 - 1 \). This makes our multiplication easier:
\[ 469157 \times 9999 = 469157 \times (10000 - 1) \]

2. **Distribute the multiplication**:
Now, we can distribute \( 469157 \) across the terms in the parentheses:
\[ 469157 \times 9999 = 469157 \times 10000 - 469157 \times 1 \]

3. **Calculate each part**:
- First, calculate \( 469157 \times 10000 \):
\[ 469157 \times 10000 = 4691570000 \]
- Next, calculate \( 469157 \times 1 \):
\[ 469157 \times 1 = 469157 \]

4. **Subtract the two results**:
Now, we subtract the second result from the first:
\[ 4691570000 - 469157 = 4691570000 - 000469157 = 4691100843 \]

5. **Final Result**:
Thus, the final answer to \( 469157 \times 9999 \) is:
\[ 4691100843 \]