Math worksheet focusing on place value concepts for 4th-grade students, aligned with CCSS.4.NBT.A.1.

Problem Analysis:

The worksheet provided involves three main tasks related to place value for multi-digit whole numbers:

1. Find the value of the underlined digit.
2. Identify the place of the underlined digit.
3. Compare the value of the underlined digits.

We will solve each task step by step.

---

Task 1: Find the value of the underlined digit

#### Example Problems:
1. 1,893
- Underlined digit: 8
- Place: Hundreds
- Value: \( 8 \times 100 = 800 \)

2. 66,456
- Underlined digit: 6 (first 6)
- Place: Ten-thousands
- Value: \( 6 \times 10,000 = 60,000 \)

3. 9,089,495
- Underlined digit: 8
- Place: Ten-thousands
- Value: \( 8 \times 10,000 = 80,000 \)

#### Solution for All Problems:
- 1. 1,893: The underlined digit is 8 (Hundreds place). Value = \( 8 \times 100 = 800 \).
- 2. 66,456: The underlined digit is 6 (Ten-thousands place). Value = \( 6 \times 10,000 = 60,000 \).
- 3. 9,089,495: The underlined digit is 8 (Ten-thousands place). Value = \( 8 \times 10,000 = 80,000 \).
- 4. 703,922: The underlined digit is 7 (Hundred-thousands place). Value = \( 7 \times 100,000 = 700,000 \).
- 5. 5,683: The underlined digit is 5 (Thousands place). Value = \( 5 \times 1,000 = 5,000 \).
- 6. 29,985: The underlined digit is 9 (Hundreds place). Value = \( 9 \times 100 = 900 \).
- 7. 7,879,492: The underlined digit is 7 (Millions place). Value = \( 7 \times 1,000,000 = 7,000,000 \).
- 8. 9,636,971: The underlined digit is 6 (Ten-thousands place). Value = \( 6 \times 10,000 = 60,000 \).

---

Task 2: Identify the place of the underlined digit

#### Example Problems:
1. 1,893
- Underlined digit: 8
- Place: Hundreds

2. 66,456
- Underlined digit: 6 (first 6)
- Place: Ten-thousands

3. 9,089,495
- Underlined digit: 8
- Place: Ten-thousands

#### Solution for All Problems:
- 10. 1,893: The underlined digit is 8 → Hundreds.
- 11. 66,456: The underlined digit is 6 → Ten-thousands.
- 12. 9,089,495: The underlined digit is 8 → Ten-thousands.
- 13. 703,922: The underlined digit is 7 → Hundred-thousands.
- 14. 5,683: The underlined digit is 5 → Thousands.
- 15. 29,985: The underlined digit is 9 → Hundreds.
- 16. 7,879,492: The underlined digit is 7 → Millions.
- 17. 9,636,971: The underlined digit is 6 → Ten-thousands.

---

Task 3: Compare the value of the underlined digits

#### Example Problems:
1. 5,802 and 485
- Underlined digit in 5,802: 8 (Hundreds place) → Value = \( 8 \times 100 = 800 \).
- Underlined digit in 485: 8 (Tens place) → Value = \( 8 \times 10 = 80 \).
- Comparison: \( 800 \div 80 = 10 \).
- Answer: The value of the 8 in 5,802 is 10 times the value of the 8 in 485.

2. 1,897,529,977 and 5,297
- Underlined digit in 1,897,529,977: 9 (Millions place) → Value = \( 9 \times 1,000,000 = 9,000,000 \).
- Underlined digit in 5,297: 9 (Tens place) → Value = \( 9 \times 10 = 90 \).
- Comparison: \( 9,000,000 \div 90 = 100,000 \).
- Answer: The value of the 9 in 1,897,529,977 is 100,000 times the value of the 9 in 5,297.

#### Solution for All Problems:
- 18. 5,802 and 485: The value of the 8 in 5,802 is 10 times the value of the 8 in 485.
- 19. 1,897,529,977 and 5,297: The value of the 9 in 1,897,529,977 is 100,000 times the value of the 9 in 5,297.
- 20. 6,693 and 7,235: The underlined digit in 6,693 is 6 (Thousands place) → Value = \( 6 \times 1,000 = 6,000 \). The underlined digit in 7,235 is 2 (Hundreds place) → Value = \( 2 \times 100 = 200 \). Comparison: \( 6,000 \div 200 = 30 \). Answer: The value of the 6 in 6,693 is 30 times the value of the 2 in 7,235.
- 21. 392,791,048 and 3,098: The underlined digit in 392,791,048 is 3 (Hundred-millions place) → Value = \( 3 \times 100,000,000 = 300,000,000 \). The underlined digit in 3,098 is 3 (Thousands place) → Value = \( 3 \times 1,000 = 3,000 \). Comparison: \( 300,000,000 \div 3,000 = 100,000 \). Answer: The value of the 3 in 392,791,048 is 100,000 times the value of the 3 in 3,098.

---

Final Answers:

1. Find the value of the underlined digit:
- 1. 800
- 2. 60,000
- 3. 80,000
- 4. 700,000
- 5. 5,000
- 6. 900
- 7. 7,000,000
- 8. 60,000

2. Identify the place of the underlined digit:
- 10. Hundreds
- 11. Ten-thousands
- 12. Ten-thousands
- 13. Hundred-thousands
- 14. Thousands
- 15. Hundreds
- 16. Millions
- 17. Ten-thousands

3. Compare the value of the underlined digits:
- 18. 10 times
- 19. 100,000 times
- 20. 30 times
- 21. 100,000 times

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{1. 800} \\
\text{2. 60,000} \\
\text{3. 80,000} \\
\text{4. 700,000} \\
\text{5. 5,000} \\
\text{6. 900} \\
\text{7. 7,000,000} \\
\text{8. 60,000} \\
\text{10. Hundreds} \\
\text{11. Ten-thousands} \\
\text{12. Ten-thousands} \\
\text{13. Hundred-thousands} \\
\text{14. Thousands} \\
\text{15. Hundreds} \\
\text{16. Millions} \\
\text{17. Ten-thousands} \\
\text{18. 10 times} \\
\text{19. 100,000 times} \\
\text{20. 30 times} \\
\text{21. 100,000 times}
\end{array}
}
\]