5-Digit Place Value Review Worksheet for Math Practice

Problem Overview:

The worksheet provided is a "Place Value Review" exercise. It involves several tasks related to place value, ordering numbers, comparing values, and understanding the value of digits in expanded forms. Below, I will solve each part step by step.

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Part 1: Place the numbers in order from least to greatest

#### Numbers to order:
1. 16,834
2. 58,771
3. 92,046
4. 67,752
5. 33,864
6. 47,925
7. 21,345
8. 56,537
9. 12,741

#### Solution:
To order these numbers from least to greatest, we compare their digits starting from the highest place value (ten-thousands place) and moving to the right.

1. 12,741 (smallest number)
2. 16,834
3. 21,345
4. 33,864
5. 47,925
6. 56,537
7. 58,771
8. 67,752
9. 92,046 (largest number)

#### Final Answer:
$$
\boxed{12,741, 16,834, 21,345, 33,864, 47,925, 56,537, 58,771, 67,752, 92,046}
$$

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Part 2: Compare the values using the symbols >, <, =

#### Comparisons:
1. 7,619,922 vs. 52,730
- 7,619,922 has more digits than 52,730.
- Therefore, 7,619,922 > 52,730.

2. 38,155 vs. 35,158
- Both numbers have the same number of digits.
- Compare the ten-thousands place: 38,155 > 35,158.
- Therefore, 38,155 > 35,158.

3. 50,961 vs. 76,047
- Both numbers have the same number of digits.
- Compare the ten-thousands place: 50,961 < 76,047.
- Therefore, 50,961 < 76,047.

4. 88,614 vs. 88,614
- Both numbers are identical.
- Therefore, 88,614 = 88,614.

5. 11,214,966 vs. 47,520
- 11,214,966 has more digits than 47,520.
- Therefore, 11,214,966 > 47,520.

6. 12,673,959 vs. 13,371
- 12,673,959 has more digits than 13,371.
- Therefore, 12,673,959 > 13,371.

#### Final Answers:
1. 7,619,922 > 52,730
2. 38,155 > 35,158
3. 50,961 < 76,047
4. 88,614 = 88,614
5. 11,214,966 > 47,520
6. 12,673,959 > 13,371

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Part 3: Write each number in expanded form

#### Numbers to expand:
1. 16,725
2. 93,621
3. 38,172

#### Solution:
- 16,725:
- Ten-thousands: \(1 \times 10,000 = 10,000\)
- Thousands: \(6 \times 1,000 = 6,000\)
- Hundreds: \(7 \times 100 = 700\)
- Tens: \(2 \times 10 = 20\)
- Ones: \(5 \times 1 = 5\)
- Expanded form: 10,000 + 6,000 + 700 + 20 + 5

- 93,621:
- Ten-thousands: \(9 \times 10,000 = 90,000\)
- Thousands: \(3 \times 1,000 = 3,000\)
- Hundreds: \(6 \times 100 = 600\)
- Tens: \(2 \times 10 = 20\)
- Ones: \(1 \times 1 = 1\)
- Expanded form: 90,000 + 3,000 + 600 + 20 + 1

- 38,172:
- Ten-thousands: \(3 \times 10,000 = 30,000\)
- Thousands: \(8 \times 1,000 = 8,000\)
- Hundreds: \(1 \times 100 = 100\)
- Tens: \(7 \times 10 = 70\)
- Ones: \(2 \times 1 = 2\)
- Expanded form: 30,000 + 8,000 + 100 + 70 + 2

#### Final Answers:
1. 10,000 + 6,000 + 700 + 20 + 5
2. 90,000 + 3,000 + 600 + 20 + 1
3. 30,000 + 8,000 + 100 + 70 + 2

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Part 4: Write each number in standard form

#### Numbers in words:
1. 90,000 + 1,000 + 800 + 30 + 7
2. 80,000 + 5,000 + 600 + 10 + 3
3. 10,000 + 6,000 + 300 + 50 + 5

#### Solution:
- 90,000 + 1,000 + 800 + 30 + 7:
- Combine all parts: \(90,000 + 1,000 + 800 + 30 + 7 = 91,837\)
- Standard form: 91,837

- 80,000 + 5,000 + 600 + 10 + 3:
- Combine all parts: \(80,000 + 5,000 + 600 + 10 + 3 = 85,613\)
- Standard form: 85,613

- 10,000 + 6,000 + 300 + 50 + 5:
- Combine all parts: \(10,000 + 6,000 + 300 + 50 + 5 = 16,355\)
- Standard form: 16,355

#### Final Answers:
1. 91,837
2. 85,613
3. 16,355

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Part 5: What is the value of the underlined digit?

#### Numbers with underlined digits:
1. 72,650
2. 25,827
3. 21,838

#### Solution:
- 72,650: The underlined digit is 2, which is in the thousands place.
- Value: \(2 \times 1,000 = 2,000\)

- 25,827: The underlined digit is 5, which is in the thousands place.
- Value: \(5 \times 1,000 = 5,000\)

- 21,838: The underlined digit is 8, which is in the hundreds place.
- Value: \(8 \times 100 = 800\)

#### Final Answers:
1. 2,000
2. 5,000
3. 800

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Part 6: What place value is the underlined digit?

#### Numbers with underlined digits:
1. 87,961
2. 66,713

#### Solution:
- 87,961: The underlined digit is 9, which is in the hundreds place.
- Place value: Hundreds

- 66,713: The underlined digit is 7, which is in the tens place.
- Place value: Tens

#### Final Answers:
1. Hundreds
2. Tens

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Final Boxed Answers:

1. Ordering numbers:
$$
\boxed{12,741, 16,834, 21,345, 33,864, 47,925, 56,537, 58,771, 67,752, 92,046}
$$

2. Comparisons:
1. 7,619,922 > 52,730
2. 38,155 > 35,158
3. 50,961 < 76,047
4. 88,614 = 88,614
5. 11,214,966 > 47,520
6. 12,673,959 > 13,371

3. Expanded forms:
1. 10,000 + 6,000 + 700 + 20 + 5
2. 90,000 + 3,000 + 600 + 20 + 1
3. 30,000 + 8,000 + 100 + 70 + 2

4. Standard forms:
1. 91,837
2. 85,613
3. 16,355

5. Values of underlined digits:
1. 2,000
2. 5,000
3. 800

6. Place values of underlined digits:
1. Hundreds
2. Tens