Math Place Value Worksheets 4th grade - Free Printable

Problem Analysis:

The image contains three sections of a math worksheet focusing on place value understanding for multi-digit whole numbers. Let's break down each section and solve the problems step by step.

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Section 1: Find the value of the underlined digit

#### Problem 1: 1,893 (underline on 8)
- The number is 1,893.
- The digit 8 is in the hundreds place.
- The value of the digit 8 is \( 8 \times 100 = 800 \).

#### Problem 2: 66,456 (underline on 4)
- The number is 66,456.
- The digit 4 is in the tens place.
- The value of the digit 4 is \( 4 \times 10 = 40 \).

#### Problem 3: 9,087,495 (underline on 8)
- The number is 9,087,495.
- The digit 8 is in the ten-thousands place.
- The value of the digit 8 is \( 8 \times 10,000 = 80,000 \).

#### Problem 4: 73,932 (underline on 3)
- The number is 73,932.
- The digit 3 is in the thousands place.
- The value of the digit 3 is \( 3 \times 1,000 = 3,000 \).

#### Problem 5: 5,683 (underline on 6)
- The number is 5,683.
- The digit 6 is in the hundreds place.
- The value of the digit 6 is \( 6 \times 100 = 600 \).

#### Problem 6: 6,258,000 (underline on 5)
- The number is 6,258,000.
- The digit 5 is in the hundred-thousands place.
- The value of the digit 5 is \( 5 \times 100,000 = 500,000 \).

#### Problem 7: 23,985 (underline on 9)
- The number is 23,985.
- The digit 9 is in the hundreds place.
- The value of the digit 9 is \( 9 \times 100 = 900 \).

#### Problem 8: 77,810 (underline on 8)
- The number is 77,810.
- The digit 8 is in the hundreds place.
- The value of the digit 8 is \( 8 \times 100 = 800 \).

#### Problem 9: 9,637,001 (underline on 6)
- The number is 9,637,001.
- The digit 6 is in the hundred-thousands place.
- The value of the digit 6 is \( 6 \times 100,000 = 600,000 \).

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Section 2: Identify the place of the underlined digit

#### Problem 10: 1,893 (underline on 8)
- The digit 8 is in the hundreds place.

#### Problem 11: 66,456 (underline on 4)
- The digit 4 is in the tens place.

#### Problem 12: 9,087,495 (underline on 8)
- The digit 8 is in the ten-thousands place.

#### Problem 13: 73,932 (underline on 3)
- The digit 3 is in the thousands place.

#### Problem 14: 5,683 (underline on 6)
- The digit 6 is in the hundreds place.

#### Problem 15: 15,266,001 (underline on 6)
- The digit 6 is in the hundred-thousands place.

#### Problem 16: 23,985 (underline on 9)
- The digit 9 is in the hundreds place.

#### Problem 17: 77,810 (underline on 8)
- The digit 8 is in the hundreds place.

#### Problem 18: 9,637,001 (underline on 6)
- The digit 6 is in the hundred-thousands place.

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Section 3: Compare the value of the underlined digits

#### Problem 19: 5,802 and 485 (underline on 8 in both)
- In 5,802, the digit 8 is in the hundreds place, so its value is \( 8 \times 100 = 800 \).
- In 485, the digit 8 is in the tens place, so its value is \( 8 \times 10 = 80 \).
- The value of the 8 in 5,802 is 10 times the value of the 8 in 485.

#### Problem 20: 23,897 and 53,987 (underline on 8 in both)
- In 23,897, the digit 8 is in the hundreds place, so its value is \( 8 \times 100 = 800 \).
- In 53,987, the digit 8 is in the tens place, so its value is \( 8 \times 10 = 80 \).
- The value of the 8 in 23,897 is 10 times the value of the 8 in 53,987.

#### Problem 21: 8,633 and 7,235 (underline on 3 in both)
- In 8,633, the digit 3 is in the tens place, so its value is \( 3 \times 10 = 30 \).
- In 7,235, the digit 3 is in the ones place, so its value is \( 3 \times 1 = 3 \).
- The value of the 3 in 8,633 is 10 times the value of the 3 in 7,235.

#### Problem 22: 23,791,284 and 53,684 (underline on 3 in both)
- In 23,791,284, the digit 3 is in the millions place, so its value is \( 3 \times 1,000,000 = 3,000,000 \).
- In 53,684, the digit 3 is in the thousands place, so its value is \( 3 \times 1,000 = 3,000 \).
- The value of the 3 in 23,791,284 is 1,000 times the value of the 3 in 53,684.

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Final Answers:

1. 800
2. 40
3. 80,000
4. 3,000
5. 600
6. 500,000
7. 900
8. 800
9. 600,000

10. Hundreds place
11. Tens place
12. Ten-thousands place
13. Thousands place
14. Hundreds place
15. Hundred-thousands place
16. Hundreds place
17. Hundreds place
18. Hundred-thousands place

19. 10 times
20. 10 times
21. 10 times
22. 1,000 times

Boxed Final Answer:
\[
\boxed{800, 40, 80,000, 3,000, 600, 500,000, 900, 800, 600,000, \text{Hundreds place}, \text{Tens place}, \text{Ten-thousands place}, \text{Thousands place}, \text{Hundreds place}, \text{Hundred-thousands place}, \text{Hundreds place}, \text{Hundreds place}, \text{Hundred-thousands place}, 10, 10, 10, 1,000}
\]