Which digit of the number 871,253,564 has the same face and place value?

Answer

To solve the question "Which digit of the number 871,253,564 has the same face and place value?", we will follow these steps:

### Step 1: Understand the Terms
- **Face Value**: The face value of a digit is the value of the digit itself, regardless of its position in the number.
- **Place Value**: The place value of a digit depends on its position in the number. For example, in the number 871,253,564, the place value of the digit 5 in the hundred-thousands place is 500,000.

### Step 2: Identify Each Digit and Its Place Value
Let's break down the number 871,253,564 by identifying each digit and its corresponding place value:

- 8 (in the hundred millions place) = 800,000,000
- 7 (in the ten millions place) = 70,000,000
- 1 (in the millions place) = 1,000,000
- 2 (in the hundred thousands place) = 200,000
- 5 (in the ten thousands place) = 50,000
- 3 (in the thousands place) = 3,000
- 5 (in the hundreds place) = 500
- 6 (in the tens place) = 60
- 4 (in the ones place) = 4

### Step 3: Compare Face Value and Place Value
Now, we will compare the face value and place value of each digit:

- For 8: Face Value = 8, Place Value = 800,000,000 (not equal)
- For 7: Face Value = 7, Place Value = 70,000,000 (not equal)
- For 1: Face Value = 1, Place Value = 1,000,000 (not equal)
- For 2: Face Value = 2, Place Value = 200,000 (not equal)
- For 5 (ten thousands): Face Value = 5, Place Value = 50,000 (not equal)
- For 3: Face Value = 3, Place Value = 3,000 (not equal)
- For 5 (hundreds): Face Value = 5, Place Value = 500 (not equal)
- For 6: Face Value = 6, Place Value = 60 (not equal)
- For 4: Face Value = 4, Place Value = 4 (equal)

### Step 4: Conclusion
The only digit that has the same face value and place value is **4**.