What is the difference between the place value and the face value of 5 in the number 865432 ?

Options

A. `4995`
B. `4990`
C. `4980`
D. `5000`

Answer

To solve the problem, we need to find the difference between the place value and the face value of the digit 5 in the number 865432.

### Step-by-Step Solution:

1. **Identify the digit and its position**:
The digit we are interested in is 5, which is located in the number 865432.

2. **Determine the place value of 5**:
The place value of a digit is determined by its position in the number. In the number 865432, the digit 5 is in the thousands place (counting from the right, starting with units, tens, hundreds, thousands, etc.). Therefore, the place value of 5 is:
\[ \text{Place Value} = 5 \times 1000 = 5000 \]

3. **Determine the face value of 5**:
The face value of a digit is simply the digit itself, regardless of its position in the number. Thus, the face value of 5 is:
\[ \text{Face Value} = 5 \]

4. **Calculate the difference between the place value and the face value**:
Now, we need to find the difference between the place value and the face value:
\[ \text{Difference} = \text{Place Value} - \text{Face Value} = 5000 - 5 = 4995 \]

5. **Conclusion**:
The difference between the place value and the face value of 5 in the number 865432 is:
\[ \text{Difference} = 4995 \]

### Final Answer:
The difference is **4995**.