This worksheet helps students master place value by converting numbers between expanded and standard forms.

Problem: Finding the Place Value

The task involves completing equations to make them true by understanding place values. Let's solve each part step by step.

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#### Part 1: Completing the Equations

We need to convert the given descriptions of numbers into their numerical form by adding up the contributions from thousands, hundreds, tens, and ones.

1. 2 thousands + 5 hundreds + 2 tens + 2 ones
- Thousands: \( 2 \times 1000 = 2000 \)
- Hundreds: \( 5 \times 100 = 500 \)
- Tens: \( 2 \times 10 = 20 \)
- Ones: \( 2 \times 1 = 2 \)
- Total: \( 2000 + 500 + 20 + 2 = 2522 \)

Answer: 2522

2. 3 thousands + 3 hundreds + 7 tens + 9 ones
- Thousands: \( 3 \times 1000 = 3000 \)
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 7 \times 10 = 70 \)
- Ones: \( 9 \times 1 = 9 \)
- Total: \( 3000 + 300 + 70 + 9 = 3379 \)

Answer: 3379

3. 4 thousands + 3 hundreds + 6 tens + 1 one
- Thousands: \( 4 \times 1000 = 4000 \)
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 6 \times 10 = 60 \)
- Ones: \( 1 \times 1 = 1 \)
- Total: \( 4000 + 300 + 60 + 1 = 4361 \)

Answer: 4361

4. 5 thousands + 2 hundreds + 0 tens + 7 ones
- Thousands: \( 5 \times 1000 = 5000 \)
- Hundreds: \( 2 \times 100 = 200 \)
- Tens: \( 0 \times 10 = 0 \)
- Ones: \( 7 \times 1 = 7 \)
- Total: \( 5000 + 200 + 0 + 7 = 5207 \)

Answer: 5207

5. 1 thousand + 3 hundreds + 7 tens + 4 ones
- Thousands: \( 1 \times 1000 = 1000 \)
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 7 \times 10 = 70 \)
- Ones: \( 4 \times 1 = 4 \)
- Total: \( 1000 + 300 + 70 + 4 = 1374 \)

Answer: 1374

6. 6 thousands + 6 tens + 2 hundreds + 9 ones
- Thousands: \( 6 \times 1000 = 6000 \)
- Hundreds: \( 2 \times 100 = 200 \)
- Tens: \( 6 \times 10 = 60 \)
- Ones: \( 9 \times 1 = 9 \)
- Total: \( 6000 + 200 + 60 + 9 = 6269 \)

Answer: 6269

7. 9 ones + 5 thousands + 2 tens + 6 hundreds
- Thousands: \( 5 \times 1000 = 5000 \)
- Hundreds: \( 6 \times 100 = 600 \)
- Tens: \( 2 \times 10 = 20 \)
- Ones: \( 9 \times 1 = 9 \)
- Total: \( 5000 + 600 + 20 + 9 = 5629 \)

Answer: 5629

8. 7 tens + 5 hundreds + 5 thousands + 4 ones
- Thousands: \( 5 \times 1000 = 5000 \)
- Hundreds: \( 5 \times 100 = 500 \)
- Tens: \( 7 \times 10 = 70 \)
- Ones: \( 4 \times 1 = 4 \)
- Total: \( 5000 + 500 + 70 + 4 = 5574 \)

Answer: 5574

9. 6 thousands + 3 hundreds + 2 ones + 9 tens
- Thousands: \( 6 \times 1000 = 6000 \)
- Hundreds: \( 3 \times 100 = 300 \)
- Tens: \( 9 \times 10 = 90 \)
- Ones: \( 2 \times 1 = 2 \)
- Total: \( 6000 + 300 + 90 + 2 = 6392 \)

Answer: 6392

10. 8 hundreds + 4 ones + 8 tens + 2 thousands
- Thousands: \( 2 \times 1000 = 2000 \)
- Hundreds: \( 8 \times 100 = 800 \)
- Tens: \( 8 \times 10 = 80 \)
- Ones: \( 4 \times 1 = 4 \)
- Total: \( 2000 + 800 + 80 + 4 = 2884 \)

Answer: 2884

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#### Part 2: Breaking Down Numbers into Place Values

We need to express the given numbers in terms of thousands, hundreds, tens, and ones.

a. 4612 = ____ thousands + ____ hundreds + ____ tens + ____ ones
- Thousands: \( 4 \)
- Hundreds: \( 6 \)
- Tens: \( 1 \)
- Ones: \( 2 \)

Answer: 4 thousands + 6 hundreds + 1 ten + 2 ones

b. 4933 = ____ thousands + ____ hundreds + ____ tens + ____ ones
- Thousands: \( 4 \)
- Hundreds: \( 9 \)
- Tens: \( 3 \)
- Ones: \( 3 \)

Answer: 4 thousands + 9 hundreds + 3 tens + 3 ones

c. 3276 = ____ thousands + ____ hundreds + ____ tens + ____ ones
- Thousands: \( 3 \)
- Hundreds: \( 2 \)
- Tens: \( 7 \)
- Ones: \( 6 \)

Answer: 3 thousands + 2 hundreds + 7 tens + 6 ones

d. 9823 = ____ thousands + ____ hundreds + ____ tens + ____ ones
- Thousands: \( 9 \)
- Hundreds: \( 8 \)
- Tens: \( 2 \)
- Ones: \( 3 \)

Answer: 9 thousands + 8 hundreds + 2 tens + 3 ones

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Final Answers:

1. 2522
2. 3379
3. 4361
4. 5207
5. 1374
6. 6269
7. 5629
8. 5574
9. 6392
10. 2884

a. 4 thousands + 6 hundreds + 1 ten + 2 ones
b. 4 thousands + 9 hundreds + 3 tens + 3 ones
c. 3 thousands + 2 hundreds + 7 tens + 6 ones
d. 9 thousands + 8 hundreds + 2 tens + 3 ones

Boxed Final Answer:
\[
\boxed{2522, 3379, 4361, 5207, 1374, 6269, 5629, 5574, 6392, 2884}
\]