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To solve the problem, we need to form a number from the given digits (1, 2, 5, 6, and 9) that rounds to 15,700 when rounded to the nearest 100.

### Steps to approach:
1. **The number should be close to 15,700.**
   - Numbers between 15,650 and 15,749 round to 15,700 when rounding to the nearest hundred.

2. **Constructing a number using the digits:**
   - Start by placing 1 and 5 in the thousand and hundred places, giving us something like 15XX.

3. **The last two digits:**
   - To make it round to 15,700, the last two digits should be between 50 and 99.

Thus, if we place:
   - 6 in the tens place and 9 in the ones place, we get 15,769.

This number rounds to 15,700 to the nearest hundred.

### Answer: The number is **15,769**.

Would you like a further breakdown or have any other questions? Here are some related questions you might find interesting:

1. How does rounding work for numbers ending in 50, like 15,750?
2. What happens if the number is 15,800? How does it round to the nearest hundred?
3. Can a number like 15,620 round to 15,700?
4. What is the smallest possible number that rounds to 15,700?
5. What if you had different digits available? Could you still round to 15,700?

**Tip:** When rounding to the nearest hundred, focus on the last two digits of the number (the tens and ones).

Use the digit cards to make a number that rounds to 15,700 to the nearest 100.

Learn how to use digits 1, 2, 5, 6, and 9 to form a number that rounds to 15,700 when rounded to the nearest hundred. This exercise enhances understanding of rounding rules and place value.

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