`72519 xx 9999 =? `

Options

A. 725117481
B. 674217481
C. 685126481
D. None of these

Answer

To solve the multiplication \( 72519 \times 9999 \) using a trick, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: We have \( 72519 \) and \( 9999 \).

2. **Rewrite \( 9999 \)**: Notice that \( 9999 \) can be rewritten as \( 10000 - 1 \). This means:
\[ 9999 = 10000 - 1 \]

3. **Apply the Distributive Property**: We can use the distributive property of multiplication over addition/subtraction:
\[ 72519 \times 9999 = 72519 \times (10000 - 1) \]

4. **Distribute the Multiplication**:
\[ 72519 \times 9999 = 72519 \times 10000 - 72519 \times 1 \]

5. **Calculate Each Part**:
- First part:
\[ 72519 \times 10000 = 725190000 \]
- Second part:
\[ 72519 \times 1 = 72519 \]

6. **Subtract the Second Part from the First Part**:
\[ 725190000 - 72519 = 725117481 \]

7. **Final Answer**: Thus, the result of \( 72519 \times 9999 \) is:
\[ 725117481 \]