To determine the positional value of the digit "5" in the number 7562 in the decimal system, follow these steps:
1. Identify the digit and its position: In the number 7562, the digit "5" is in the thousands place.
2. Determine the place value: The thousands place means that the digit is multiplied by 1000. Therefore, the place value of the digit "5" in this position is 5 multiplied by 1000.
3. Calculate the positional value:
- Multiply the digit "5" by its place value (1000).
- [tex]\(5 \times 1000 = 5000\)[/tex].
Thus, the positional value of the digit "5" in the number 7562 is 5000.