Place Value Worksheet - up to 10 million - Free Printable

Problem Analysis and Solution Explanation

The provided worksheet focuses on understanding place value up to 1 million. Let's break down each section of the worksheet and explain the solutions step by step.

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#### Section 1: Write the place value of the underlined digit under each of the numbers.

This section requires identifying the place value of the underlined digit in each number.

1. 82,163: The underlined digit is 2, which is in the thousands place.
- Place value: 2,000

2. 46,375: The underlined digit is 6, which is in the thousands place.
- Place value: 40,000

3. 327,186: The underlined digit is 8, which is in the tens place.
- Place value: 80

4. 412,846: The underlined digit is 1, which is in the ten-thousands place.
- Place value: 10,000

5. 84,716: The underlined digit is 7, which is in the hundreds place.
- Place value: 700

6. 761,489: The underlined digit is 1, which is in the thousands place.
- Place value: 1,000

7. 412,685: The underlined digit is 1, which is in the hundred-thousands place.
- Place value: 400,000

8. 49,321: The underlined digit is 3, which is in the thousands place.
- Place value: 9,000

9. 385,029: The underlined digit is 8, which is in the ten-thousands place.
- Place value: 80,000

10. 637,958: The underlined digit is 3, which is in the hundred-thousands place.
- Place value: 600,000

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#### Section 2: Write these numbers in expanded form.

This section requires expressing each number as the sum of its place values.

1. 84,136:
- Breakdown:
- 80,000 (8 in the ten-thousands place)
- 4,000 (4 in the thousands place)
- 100 (1 in the hundreds place)
- 30 (3 in the tens place)
- 6 (6 in the ones place)
- Expanded form: 80,000 + 4,000 + 100 + 30 + 6

2. 137,295:
- Breakdown:
- 100,000 (1 in the hundred-thousands place)
- 30,000 (3 in the ten-thousands place)
- 7,000 (7 in the thousands place)
- 200 (2 in the hundreds place)
- 90 (9 in the tens place)
- 5 (5 in the ones place)
- Expanded form: 100,000 + 30,000 + 7,000 + 200 + 90 + 5

3. 67,329:
- Breakdown:
- 60,000 (6 in the ten-thousands place)
- 7,000 (7 in the thousands place)
- 300 (3 in the hundreds place)
- 20 (2 in the tens place)
- 9 (9 in the ones place)
- Expanded form: 60,000 + 7,000 + 300 + 20 + 9

4. 894,326:
- Breakdown:
- 800,000 (8 in the hundred-thousands place)
- 90,000 (9 in the ten-thousands place)
- 4,000 (4 in the thousands place)
- 300 (3 in the hundreds place)
- 20 (2 in the tens place)
- 6 (6 in the ones place)
- Expanded form: 800,000 + 90,000 + 4,000 + 300 + 20 + 6

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#### Section 3: Write these numbers in standard form.

This section requires converting the expanded form into a single number.

1. 20,000 + 7,000 + 800 + 20 + 4:
- Sum: 20,000 + 7,000 + 800 + 20 + 4 = 27,824

2. 80,000 + 4,000 + 900 + 10 + 6:
- Sum: 80,000 + 4,000 + 900 + 10 + 6 = 84,916

3. 200,000 + 90,000 + 5,000 + 200 + 30 + 8:
- Sum: 200,000 + 90,000 + 5,000 + 200 + 30 + 8 = 295,238

4. 800,000 + 7,000 + 300 + 50 + 6:
- Sum: 800,000 + 7,000 + 300 + 50 + 6 = 807,356

5. 500,000 + 30,000 + 800 + 40 + 2:
- Sum: 500,000 + 30,000 + 800 + 40 + 2 = 530,842

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#### Section 4: Fill in the missing parts in these numbers.

This section requires identifying the digits in each place value for the given numbers.

1. 45,372:
- Thousands: 45
- Hundreds: 3
- Tens: 7
- Ones: 2

2. 176,437:
- Thousands: 176
- Hundreds: 4
- Tens: 3
- Ones: 7

3. 962,508:
- Thousands: 962
- Hundreds: 5
- Tens: 0
- Ones: 8

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Final Answer:

\[
\boxed{
\begin{array}{l}
\text{1) Place values:} \\
\begin{array}{c|c|c|c|c}
82,163 & 46,375 & 327,186 & 412,846 & 84,716 \\
\hline
2,000 & 40,000 & 80 & 10,000 & 700 \\
\end{array} \\
\begin{array}{c|c|c|c|c}
761,489 & 412,685 & 49,321 & 385,029 & 637,958 \\
\hline
1,000 & 400,000 & 9,000 & 80,000 & 600,000 \\
\end{array} \\
\text{2) Expanded forms:} \\
84,136 = 80,000 + 4,000 + 100 + 30 + 6 \\
137,295 = 100,000 + 30,000 + 7,000 + 200 + 90 + 5 \\
67,329 = 60,000 + 7,000 + 300 + 20 + 9 \\
894,326 = 800,000 + 90,000 + 4,000 + 300 + 20 + 6 \\
\text{3) Standard forms:} \\
20,000 + 7,000 + 800 + 20 + 4 = 27,824 \\
80,000 + 4,000 + 900 + 10 + 6 = 84,916 \\
200,000 + 90,000 + 5,000 + 200 + 30 + 8 = 295,238 \\
800,000 + 7,000 + 300 + 50 + 6 = 807,356 \\
500,000 + 30,000 + 800 + 40 + 2 = 530,842 \\
\text{4) Missing parts:} \\
45,372 = 45 \text{ thousands } 3 \text{ hundreds } 7 \text{ tens } 2 \text{ ones} \\
176,437 = 176 \text{ thousands } 4 \text{ hundreds } 3 \text{ tens } 7 \text{ ones} \\
962,508 = 962 \text{ thousands } 5 \text{ hundreds } 0 \text{ tens } 8 \text{ ones} \\
\end{array}
}
\]