Place Value Practice Worksheet for 3rd Grade

Problem Explanation and Solution

The worksheet focuses on place value and involves writing numbers in expanded form, breaking down numbers into their component parts (hundreds, tens, and ones), and identifying the digits in each place value. Let's solve each section step by step.

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#### Section 1: Write the number using the expanded form

We need to add the given components to find the total number.

1. 700 + 50 + 8 =
- Hundreds: 700
- Tens: 50
- Ones: 8
- Total: \( 700 + 50 + 8 = 758 \)
- Answer: 758

2. 100 + 60 + 2 =
- Hundreds: 100
- Tens: 60
- Ones: 2
- Total: \( 100 + 60 + 2 = 162 \)
- Answer: 162

3. 400 + 90 + _ =
- The missing part is the "ones" place. Since no value is given, we assume it is 0.
- Hundreds: 400
- Tens: 90
- Ones: 0
- Total: \( 400 + 90 + 0 = 490 \)
- Answer: 490

4. 80 + 5 =
- Tens: 80
- Ones: 5
- Total: \( 80 + 5 = 85 \)
- Answer: 85

5. 900 + 70 + 7 =
- Hundreds: 900
- Tens: 70
- Ones: 7
- Total: \( 900 + 70 + 7 = 977 \)
- Answer: 977

6. 800 + 30 + 4 =
- Hundreds: 800
- Tens: 30
- Ones: 4
- Total: \( 800 + 30 + 4 = 834 \)
- Answer: 834

7. 500 + 3 =
- Hundreds: 500
- Tens: 0
- Ones: 3
- Total: \( 500 + 3 = 503 \)
- Answer: 503

8. 600 + 10 + 3 =
- Hundreds: 600
- Tens: 10
- Ones: 3
- Total: \( 600 + 10 + 3 = 613 \)
- Answer: 613

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#### Section 2: Write the correct number in the box

We need to identify the missing part of the expanded form.

9. 573 = 500 + _ + 3
- The number is 573. Breaking it down:
- Hundreds: 500
- Tens: 70
- Ones: 3
- The missing part is the tens place: 70.
- Answer: 70

10. 826 = _ + 20 + 6
- The number is 826. Breaking it down:
- Hundreds: 800
- Tens: 20
- Ones: 6
- The missing part is the hundreds place: 800.
- Answer: 800

11. 219 = 200 + 10 + _
- The number is 219. Breaking it down:
- Hundreds: 200
- Tens: 10
- Ones: 9
- The missing part is the ones place: 9.
- Answer: 9

12. 357 = 300 + 50 + _
- The number is 357. Breaking it down:
- Hundreds: 300
- Tens: 50
- Ones: 7
- The missing part is the ones place: 7.
- Answer: 7

13. 702 = 700 + _ + 2
- The number is 702. Breaking it down:
- Hundreds: 700
- Tens: 0
- Ones: 2
- The missing part is the tens place: 0.
- Answer: 0

14. 499 = 400 + _ + 9
- The number is 499. Breaking it down:
- Hundreds: 400
- Tens: 90
- Ones: 9
- The missing part is the tens place: 90.
- Answer: 90

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#### Section 3: Fill in the correct digit for each place value

We need to identify the hundreds, tens, and ones places for each number.

15. 819 = _ hundreds + _ tens + _ ones
- Hundreds: 8
- Tens: 1
- Ones: 9
- Answer: 8, 1, 9

16. 407 = _ hundreds + _ tens + _ ones
- Hundreds: 4
- Tens: 0
- Ones: 7
- Answer: 4, 0, 7

17. 539 = _ hundreds + _ tens + _ ones
- Hundreds: 5
- Tens: 3
- Ones: 9
- Answer: 5, 3, 9

18. 721 = _ hundreds + _ tens + _ ones
- Hundreds: 7
- Tens: 2
- Ones: 1
- Answer: 7, 2, 1

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Final Answers

1. 758
2. 162
3. 490
4. 85
5. 977
6. 834
7. 503
8. 613
9. 70
10. 800
11. 9
12. 7
13. 0
14. 90
15. 8, 1, 9
16. 4, 0, 7
17. 5, 3, 9
18. 7, 2, 1

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 758 \\
2. & 162 \\
3. & 490 \\
4. & 85 \\
5. & 977 \\
6. & 834 \\
7. & 503 \\
8. & 613 \\
9. & 70 \\
10. & 800 \\
11. & 9 \\
12. & 7 \\
13. & 0 \\
14. & 90 \\
15. & 8, 1, 9 \\
16. & 4, 0, 7 \\
17. & 5, 3, 9 \\
18. & 7, 2, 1 \\
\end{array}
}
\]