Three-Digit Place Value Assessment worksheet for practicing math skills.

Problem Analysis:

The provided image is a worksheet titled "Three-Digit Place Value Assessment." It involves several tasks related to understanding place value, rounding numbers, and comparing numbers. Below is a detailed breakdown and solution for each section of the worksheet.

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Section 1: What value is represented by the underlined digit?

#### Problem 1:
- Question: What value is represented by the underlined digit in 853?
- Underlined Digit: The digit "5" is underlined.
- Explanation: In the number 853, the digit "5" is in the tens place. Therefore, it represents \( 5 \times 10 = 50 \).
- Answer: 50

#### Problem 2:
- Question: What value is represented by the underlined digit in 674?
- Underlined Digit: The digit "7" is underlined.
- Explanation: In the number 674, the digit "7" is in the tens place. Therefore, it represents \( 7 \times 10 = 70 \).
- Answer: 70

#### Problem 3:
- Question: What value is represented by the underlined digit in 312?
- Underlined Digit: The digit "1" is underlined.
- Explanation: In the number 312, the digit "1" is in the tens place. Therefore, it represents \( 1 \times 10 = 10 \).
- Answer: 10

#### Problem 4:
- Question: What value is represented by the underlined digit in 298?
- Underlined Digit: The digit "9" is underlined.
- Explanation: In the number 298, the digit "9" is in the tens place. Therefore, it represents \( 9 \times 10 = 90 \).
- Answer: 90

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Section 2: Write the value that is described.

#### Problem 5:
- Question: Two hundreds, six tens, two ones.
- Explanation:
- Two hundreds = \( 2 \times 100 = 200 \)
- Six tens = \( 6 \times 10 = 60 \)
- Two ones = \( 2 \times 1 = 2 \)
- Total = \( 200 + 60 + 2 = 262 \)
- Answer: 262

#### Problem 6:
- Question: Nine hundreds, one ten, eight ones.
- Explanation:
- Nine hundreds = \( 9 \times 100 = 900 \)
- One ten = \( 1 \times 10 = 10 \)
- Eight ones = \( 8 \times 1 = 8 \)
- Total = \( 900 + 10 + 8 = 918 \)
- Answer: 918

#### Problem 7:
- Question: One hundred, one ten, seven ones.
- Explanation:
- One hundred = \( 1 \times 100 = 100 \)
- One ten = \( 1 \times 10 = 10 \)
- Seven ones = \( 7 \times 1 = 7 \)
- Total = \( 100 + 10 + 7 = 117 \)
- Answer: 117

#### Problem 8:
- Question: Three hundreds, seven tens, six ones.
- Explanation:
- Three hundreds = \( 3 \times 100 = 300 \)
- Seven tens = \( 7 \times 10 = 70 \)
- Six ones = \( 6 \times 1 = 6 \)
- Total = \( 300 + 70 + 6 = 376 \)
- Answer: 376

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Section 3: Round to the nearest ten.

#### Problem 9:
- Question: Round 89 to the nearest ten.
- Explanation:
- The digit in the ones place is 9, which is greater than or equal to 5. Therefore, we round up.
- \( 89 \) rounded to the nearest ten is 90.
- Answer: 90

#### Problem 10:
- Question: Round 56 to the nearest ten.
- Explanation:
- The digit in the ones place is 6, which is greater than or equal to 5. Therefore, we round up.
- \( 56 \) rounded to the nearest ten is 60.
- Answer: 60

#### Problem 11:
- Question: Round 43 to the nearest ten.
- Explanation:
- The digit in the ones place is 3, which is less than 5. Therefore, we round down.
- \( 43 \) rounded to the nearest ten is 40.
- Answer: 40

#### Problem 12:
- Question: Round 15 to the nearest ten.
- Explanation:
- The digit in the ones place is 5, which is equal to 5. Therefore, we round up.
- \( 15 \) rounded to the nearest ten is 20.
- Answer: 20

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Section 4: Round to the nearest hundred.

#### Problem 13:
- Question: Round 320 to the nearest hundred.
- Explanation:
- The digit in the tens place is 2, which is less than 5. Therefore, we round down.
- \( 320 \) rounded to the nearest hundred is 300.
- Answer: 300

#### Problem 14:
- Question: Round 871 to the nearest hundred.
- Explanation:
- The digit in the tens place is 7, which is greater than or equal to 5. Therefore, we round up.
- \( 871 \) rounded to the nearest hundred is 900.
- Answer: 900

#### Problem 15:
- Question: Round 406 to the nearest hundred.
- Explanation:
- The digit in the tens place is 0, which is less than 5. Therefore, we round down.
- \( 406 \) rounded to the nearest hundred is 400.
- Answer: 400

#### Problem 16:
- Question: Round 752 to the nearest hundred.
- Explanation:
- The digit in the tens place is 5, which is equal to 5. Therefore, we round up.
- \( 752 \) rounded to the nearest hundred is 800.
- Answer: 800

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Section 5: Compare the numbers by placing <, >, or = on the line.

#### Problem 17:
- Question: Compare 543 and 684.
- Explanation:
- 543 is less than 684.
- Answer: 543 < 684

#### Problem 18:
- Question: Compare 852 and 852.
- Explanation:
- Both numbers are equal.
- Answer: 852 = 852

#### Problem 19:
- Question: Compare 223 and 242.
- Explanation:
- 223 is less than 242.
- Answer: 223 < 242

#### Problem 20:
- Question: Compare 20 and 155.
- Explanation:
- 20 is less than 155.
- Answer: 20 < 155

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Final Answer:

\[
\boxed{
\begin{array}{l}
\text{1. } 50 \\
\text{2. } 70 \\
\text{3. } 10 \\
\text{4. } 90 \\
\text{5. } 262 \\
\text{6. } 918 \\
\text{7. } 117 \\
\text{8. } 376 \\
\text{9. } 90 \\
\text{10. } 60 \\
\text{11. } 40 \\
\text{12. } 20 \\
\text{13. } 300 \\
\text{14. } 900 \\
\text{15. } 400 \\
\text{16. } 800 \\
\text{17. } 543 < 684 \\
\text{18. } 852 = 852 \\
\text{19. } 223 < 242 \\
\text{20. } 20 < 155 \\
\end{array}
}
\]