The value of `3755xx9999` is

Options

A. 37556245
B. 38297255
C. 37546245
D. 34657245

Answer

To find the value of \( 3755 \times 9999 \), we can use a mathematical trick to simplify our calculations.

### Step-by-Step Solution:

1. **Rewrite 9999**:
We can express \( 9999 \) as \( 10000 - 1 \).
\[ 3755 \times 9999 = 3755 \times (10000 - 1) \]

2. **Apply the Distributive Property**:
Now, we can distribute \( 3755 \) across the terms in the parentheses:
\[ 3755 \times 9999 = 3755 \times 10000 - 3755 \times 1 \]

3. **Calculate Each Term**:
- First, calculate \( 3755 \times 10000 \):
\[ 3755 \times 10000 = 37550000 \]
- Then, calculate \( 3755 \times 1 \):
\[ 3755 \times 1 = 3755 \]

4. **Subtract the Second Term from the First**:
Now, we need to subtract the second term from the first:
\[ 37550000 - 3755 \]

5. **Perform the Subtraction**:
Align the numbers for subtraction:
\[ \begin{array}{r} 37550000 \\ - \quad 3755 \\ \hline \end{array} \]
We can perform the subtraction step-by-step:
- Start from the rightmost digit, borrowing as necessary.
- The result will be:
\[ 37546245 \]

6. **Final Result**:
Thus, the value of \( 3755 \times 9999 \) is:
\[ \boxed{37546245} \]