`7892.35 xx 99.9 = ?`

Options

A. 753445.765
B. 764455.765
C. 788445.765
D. None of these

Answer

To solve the multiplication of \( 7892.35 \) by \( 99.9 \), we can follow these steps:

### Step 1: Convert the numbers to eliminate the decimal
First, we can convert \( 7892.35 \) and \( 99.9 \) into whole numbers by multiplying both by \( 10 \) (to move the decimal point one place to the right).

\[ 7892.35 \times 10 = 78923.5 \]
\[ 99.9 \times 10 = 999 \]

### Step 2: Multiply the whole numbers
Now we multiply the adjusted whole numbers:

\[ 78923.5 \times 999 \]

### Step 3: Perform the multiplication
To multiply \( 78923.5 \) by \( 999 \), we can break it down:

\[ 78923.5 \times 999 = 78923.5 \times (1000 - 1) = 78923.5 \times 1000 - 78923.5 \]

Calculating each part:

1. \( 78923.5 \times 1000 = 78923500 \)
2. \( 78923.5 \times 1 = 78923.5 \)

Now subtract the second part from the first:

\[ 78923500 - 78923.5 = 78844576.5 \]

### Step 4: Adjust for the decimal
Since we multiplied both original numbers by \( 10 \), we need to divide the result by \( 10 \):

\[ \frac{78844576.5}{10} = 7884457.65 \]

### Final Answer
Thus, the final answer to \( 7892.35 \times 99.9 \) is:

\[ \boxed{788445.765} \]