Rounding to the Nearest Hundred math worksheet for students.

Problem Analysis:

The worksheet focuses on rounding numbers to the nearest hundred. Let's break it down step by step:

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#### Part 1: Rounding Each Number to the Nearest Hundred
We need to round the given numbers (264, 85, 545, 239, 350, and 834) to the nearest hundred.

Rules for Rounding to the Nearest Hundred:
- Look at the tens digit.
- If the tens digit is 5 or greater, round up.
- If the tens digit is less than 5, round down.

##### Step-by-Step Solution:
1. 264: The tens digit is 6 (greater than 5), so round up to 300.
- Answer: 300

2. 85: The tens digit is 8 (greater than 5), so round up to 100.
- Answer: 100

3. 545: The tens digit is 4 (less than 5), so round down to 500.
- Answer: 500

4. 239: The tens digit is 3 (less than 5), so round down to 200.
- Answer: 200

5. 350: The tens digit is 5, so round up to 400.
- Answer: 400

6. 834: The tens digit is 3 (less than 5), so round down to 800.
- Answer: 800

##### Final Answers for Part 1:
- 264 → 300
- 85 → 100
- 545 → 500
- 239 → 200
- 350 → 400
- 834 → 800

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#### Part 2: Bubble Numbers
We are given six bubble numbers: 572, 748, 650, 635, 762, and 804. We need to determine which two numbers round to 700 and which two round to 600.

##### Step-by-Step Solution:
1. Round Each Bubble Number to the Nearest Hundred:
- 572: Tens digit is 7 (greater than 5), so round up to 600.
- 748: Tens digit is 4 (less than 5), so round down to 700.
- 650: Tens digit is 5, so round up to 700.
- 635: Tens digit is 3 (less than 5), so round down to 600.
- 762: Tens digit is 6 (greater than 5), so round up to 800.
- 804: Tens digit is 0 (less than 5), so round down to 800.

2. Identify Numbers That Round to 700:
- 748 rounds to 700.
- 650 rounds to 700.
- Answer: 748 and 650

3. Identify Numbers That Round to 600:
- 572 rounds to 600.
- 635 rounds to 600.
- Answer: 572 and 635

##### Final Answers for Part 2:
- Which two bubble numbers round to 700? 748 and 650
- Which two bubble numbers round to 600? 572 and 635

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#### Part 3: True or False Statements
We need to evaluate the truth of three statements about rounding.

##### Step-by-Step Solution:
1. Statement 1: 765 rounds to 700.
- The tens digit is 6 (greater than 5), so 765 rounds up to 800.
- False

2. Statement 2: 829 rounds to 800.
- The tens digit is 2 (less than 5), so 829 rounds down to 800.
- True

3. Statement 3: 109 rounds to 100.
- The tens digit is 0 (less than 5), so 109 rounds down to 100.
- True

##### Final Answers for Part 3:
- 765 rounds to 700: False
- 829 rounds to 800: True
- 109 rounds to 100: True

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#### Part 4: Write 4 Numbers That Round to 400
We need to write four numbers that, when rounded to the nearest hundred, result in 400.

##### Step-by-Step Solution:
To round to 400:
- The number must be between 350 and 449 (inclusive).
- Examples include: 350, 375, 400, 425.

##### Final Answer for Part 4:
- Four numbers that round to 400: 350, 375, 400, 425

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Final Answer Summary:

1. Rounding Each Number to the Nearest Hundred:
- 264 → 300
- 85 → 100
- 545 → 500
- 239 → 200
- 350 → 400
- 834 → 800

2. Bubble Numbers:
- Which two bubble numbers round to 700? 748 and 650
- Which two bubble numbers round to 600? 572 and 635

3. True or False Statements:
- 765 rounds to 700: False
- 829 rounds to 800: True
- 109 rounds to 100: True

4. Write 4 Numbers That Round to 400:
- 350, 375, 400, 425

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Part 1:} \\
264 \to 300, \, 85 \to 100, \, 545 \to 500, \, 239 \to 200, \, 350 \to 400, \, 834 \to 800 \\
\text{Part 2:} \\
\text{Which two bubble numbers round to 700? } 748 \text{ and } 650 \\
\text{Which two bubble numbers round to 600? } 572 \text{ and } 635 \\
\text{Part 3:} \\
\text{765 rounds to 700: False} \\
\text{829 rounds to 800: True} \\
\text{109 rounds to 100: True} \\
\text{Part 4:} \\
\text{Four numbers that round to 400: } 350, 375, 400, 425
\end{array}
}
\]