What is the difference between the place value and face value of 7 in 937521?

Question

Accepted Answer

To determine the difference between the place value and face value of 7 in the number 937521, we need to understand the concepts of place value and face value.

1. **Face Value**: The face value of a digit is the value of the digit itself, irrespective of its position in the number. For the digit 7, the face value is simply 7.

2. **Place Value**: The place value of a digit depends on its position in the number. In the number 937521, the digit 7 is in the thousands place. Therefore, the place value of 7 is calculated as:
   $$
   7 \times 1000 = 7000
   $$

3. **Difference**: The difference between the place value and the face value of 7 is:
   $$
   7000 - 7 = 6993
   $$

Thus, the correct answer is Option 3: 6993.

**Explanation of Incorrect Options**:

- **Option 1: 7514**: This option is incorrect because it does not represent the difference between the place value (7000) and the face value (7) of the digit 7. The calculation for this option would imply a different mathematical operation or misunderstanding of place and face values.

- **Option 2: 521**: This option is incorrect because it does not match the calculated difference of 6993. The number 521 does not relate to the place value or face value of 7 in any logical way within the context of this problem.

- **Option 4: None of these**: This option is incorrect because we have already determined that Option 3 correctly represents the difference between the place value and face value of 7, which is 6993.

Therefore, based on the calculations and logical reasoning provided, Option 3 is indeed the correct answer.