Place value and face value are always equal at which place ?

Options

A. Hundreds
B. Ones
C. Thousands
D. Tens

Answer

To determine at which place the place value and face value are always equal, let's analyze the definitions and characteristics of both terms:

1. **Understanding Face Value**: The face value of a digit is the value of the digit itself, regardless of its position in the number. For example, in the number 345, the face value of 4 is 4.

2. **Understanding Place Value**: The place value of a digit is the value of the digit based on its position in the number. For example, in the number 345, the place value of 4 (which is in the tens place) is 40.

3. **Analyzing Different Places**:
- **Ones Place**:
- Face Value: The face value of a digit in the ones place is the digit itself.
- Place Value: The place value of a digit in the ones place is also the digit itself multiplied by 1 (the value of the ones place).
- Conclusion: Face Value = Place Value.

- **Tens Place**:
- Face Value: The face value of a digit in the tens place is the digit itself.
- Place Value: The place value of a digit in the tens place is the digit multiplied by 10.
- Conclusion: Face Value ≠ Place Value.

- **Hundreds Place**:
- Face Value: The face value of a digit in the hundreds place is the digit itself.
- Place Value: The place value of a digit in the hundreds place is the digit multiplied by 100.
- Conclusion: Face Value ≠ Place Value.

- **Thousands Place**:
- Face Value: The face value of a digit in the thousands place is the digit itself.
- Place Value: The place value of a digit in the thousands place is the digit multiplied by 1000.
- Conclusion: Face Value ≠ Place Value.

4. **Final Conclusion**: From the analysis, we can see that the only place where the face value and place value are equal is the **ones place**.

**Final Answer**: The place value and face value are always equal at the **ones place**.

---