Find the difference of place value of 4 and face value of 3 in 3784105.

Options

A. 3997
B. 1
C. 1000
D. 3845

Answer

To solve the problem of finding the difference between the place value of 4 and the face value of 3 in the number 3784105, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: The given number is 3784105.

2. **Determine the Place Value of 4**:
- The digit 4 is in the thousands place (4th position from the right).
- Place value is calculated as:
\[ \text{Place Value of 4} = 4 \times 1000 = 4000 \]

3. **Determine the Face Value of 3**:
- The face value of a digit is the digit itself, regardless of its position.
- Therefore, the face value of 3 is:
\[ \text{Face Value of 3} = 3 \]

4. **Calculate the Difference**:
- Now, we find the difference between the place value of 4 and the face value of 3:
\[ \text{Difference} = \text{Place Value of 4} - \text{Face Value of 3} = 4000 - 3 = 3997 \]

5. **Final Answer**:
- The difference of the place value of 4 and the face value of 3 in the number 3784105 is:
\[ \boxed{3997} \]