Compute of `54367 xx 9999 = ?`
A. 546315633
B. 543655633
C. 543651633
D. 543615633

Options

A. A
B. B
C. C
D. D

Answer

To compute \( 54367 \times 9999 \), we can use a mathematical trick to simplify the multiplication. Instead of multiplying directly, we can express \( 9999 \) as \( 10000 - 1 \). This allows us to break the problem down into simpler steps.

### Step-by-Step Solution:

1. **Rewrite the multiplication**:
\[ 54367 \times 9999 = 54367 \times (10000 - 1) \]

2. **Distribute the multiplication**:
\[ 54367 \times 9999 = 54367 \times 10000 - 54367 \times 1 \]

3. **Calculate \( 54367 \times 10000 \)**:
\[ 54367 \times 10000 = 543670000 \]

4. **Calculate \( 54367 \times 1 \)**:
\[ 54367 \times 1 = 54367 \]

5. **Subtract the two results**:
\[ 543670000 - 54367 \]

6. **Perform the subtraction**:
- Align the numbers for subtraction:
\[ \begin{array}{r} 543670000 \\ - \quad 54367 \\ \hline \end{array} \]
- Start from the rightmost digit:
- \( 0 - 7 = 3 \) (borrow 1)
- \( 0 - 6 = 4 \) (borrow 1)
- \( 0 - 3 = 7 \) (borrow 1)
- \( 0 - 4 = 6 \) (borrow 1)
- \( 7 - 5 = 2 \)
- \( 3 - 0 = 3 \)
- \( 4 - 0 = 4 \)
- \( 5 - 0 = 5 \)

Thus, the result of the subtraction is:
\[ 543615633 \]

### Final Answer:
\[ 54367 \times 9999 = 543615633 \]