Place value rounding worksheet for students to practice rounding numbers to the nearest ten, hundred, and thousand.

Problem Explanation:

The task involves rounding numbers to different place values: the nearest ten, the nearest hundred, and the nearest thousand. Rounding is a method of approximating numbers to make them easier to work with while maintaining their general value.

#### Steps for Rounding:
1. Identify the place value to which you are rounding.
2. Look at the digit immediately to the right of the place value.
- If this digit is 5 or greater, round up by increasing the digit in the target place value by 1.
- If this digit is less than 5, round down by keeping the digit in the target place value the same.
3. Replace all digits to the right of the target place value with zeros (for whole numbers).

Solution:

#### Section 1: Round to the Nearest Ten (10)

- 97: The digit in the ones place is 7 (which is ≥ 5), so round up.
- Answer: 100
- 4572: The digit in the ones place is 2 (which is < 5), so round down.
- Answer: 4570
- 925: The digit in the ones place is 5 (which is = 5), so round up.
- Answer: 930
- 113: The digit in the ones place is 3 (which is < 5), so round down.
- Answer: 110
- 249: The digit in the ones place is 9 (which is ≥ 5), so round up.
- Answer: 250
- 64: The digit in the ones place is 4 (which is < 5), so round down.
- Answer: 60

Answers for Section 1:
- 97 → 100
- 4572 → 4570
- 925 → 930
- 113 → 110
- 249 → 250
- 64 → 60

---

#### Section 2: Round to the Nearest Hundred (100)

- 65: The digit in the tens place is 6 (which is ≥ 5), so round up.
- Answer: 100
- 580: The digit in the tens place is 8 (which is ≥ 5), so round up.
- Answer: 600
- 1045: The digit in the tens place is 4 (which is < 5), so round down.
- Answer: 1000
- 221: The digit in the tens place is 2 (which is < 5), so round down.
- Answer: 200
- 533: The digit in the tens place is 3 (which is < 5), so round down.
- Answer: 500
- 192: The digit in the tens place is 9 (which is ≥ 5), so round up.
- Answer: 200

Answers for Section 2:
- 65 → 100
- 580 → 600
- 1045 → 1000
- 221 → 200
- 533 → 500
- 192 → 200

---

#### Section 3: Round to the Nearest Thousand (1000)

- 7530: The digit in the hundreds place is 5 (which is = 5), so round up.
- Answer: 8000
- 680: The digit in the hundreds place is 0 (which is < 5), so round down.
- Answer: 1000
- 9099: The digit in the hundreds place is 0 (which is < 5), so round down.
- Answer: 9000
- 2390: The digit in the hundreds place is 3 (which is < 5), so round down.
- Answer: 2000
- 500: The digit in the hundreds place is 0 (which is < 5), so round down.
- Answer: 1000
- 4661: The digit in the hundreds place is 6 (which is ≥ 5), so round up.
- Answer: 5000

Answers for Section 3:
- 7530 → 8000
- 680 → 1000
- 9099 → 9000
- 2390 → 2000
- 500 → 1000
- 4661 → 5000

---

Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Section 1:} & 100, 4570, 930, 110, 250, 60 \\
\text{Section 2:} & 100, 600, 1000, 200, 500, 200 \\
\text{Section 3:} & 8000, 1000, 9000, 2000, 1000, 5000 \\
\end{array}
}
\]