Find the value of `98375 xx 9999.`

Options

A. `983656125 `
B. `983651625 `
C. `99573815 `
D. None of these

Answer

To find the value of \( 98375 \times 9999 \), we can use the property of multiplication with numbers close to a base (in this case, 10000). Here's how we can solve it step by step:

### Step 1: Rewrite the multiplication
We can express \( 9999 \) as \( 10000 - 1 \). Therefore, we can rewrite the multiplication as:
\[ 98375 \times 9999 = 98375 \times (10000 - 1) \]

### Step 2: Distribute the multiplication
Using the distributive property, we can expand the expression:
\[ 98375 \times (10000 - 1) = 98375 \times 10000 - 98375 \times 1 \]

### Step 3: Calculate each term
Now, we calculate each term separately:
1. Calculate \( 98375 \times 10000 \):
\[ 98375 \times 10000 = 983750000 \]
2. Calculate \( 98375 \times 1 \):
\[ 98375 \times 1 = 98375 \]

### Step 4: Subtract the second term from the first term
Now, we subtract the second term from the first term:
\[ 983750000 - 98375 \]

### Step 5: Perform the subtraction
Align the numbers for subtraction:
```
983750000
- 98375
```
Subtracting gives:
\[ 983750000 - 98375 = 983651625 \]

### Final Answer
Thus, the value of \( 98375 \times 9999 \) is:
\[ \boxed{983651625} \]