4-Digit Place Value Worksheet for practicing number construction from expanded form.
4-Digit Place Value Worksheet with 20 problems for students to write 4-digit numbers based on given place values, featuring a koala mascot and Math Monks branding.
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Step-by-step solution for: Place Value Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets with Answer Key
Problem Overview:
The task is to write 4-digit numbers based on the given place values. Each problem provides a sum of values representing thousands, hundreds, tens, and ones places. We need to combine these values to form the correct 4-digit number.
Solution Approach:
1. Identify Place Values: Each term in the sum represents a specific place value:
- Thousands place: \( \text{Thousands digit} \times 1000 \)
- Hundreds place: \( \text{Hundreds digit} \times 100 \)
- Tens place: \( \text{Tens digit} \times 10 \)
- Ones place: \( \text{Ones digit} \)
2. Combine the Values: Add the contributions from each place value to form the final 4-digit number.
3. Ensure 4-Digit Format: If the result is less than 4 digits (e.g., 2050), ensure it is written as a 4-digit number by including leading zeros if necessary (though this is not applicable here since all results are naturally 4 digits).
Step-by-Step Solutions:
#### 1. \( 2,000 + 400 + 70 + 3 \)
- Thousands: \( 2,000 \) → 2
- Hundreds: \( 400 \) → 4
- Tens: \( 70 \) → 7
- Ones: \( 3 \) → 3
- Combine: \( 2473 \)
#### 2. \( 8,000 + 600 + 40 + 4 \)
- Thousands: \( 8,000 \) → 8
- Hundreds: \( 600 \) → 6
- Tens: \( 40 \) → 4
- Ones: \( 4 \) → 4
- Combine: \( 8644 \)
#### 3. \( 6,000 + 900 + 50 + 1 \)
- Thousands: \( 6,000 \) → 6
- Hundreds: \( 900 \) → 9
- Tens: \( 50 \) → 5
- Ones: \( 1 \) → 1
- Combine: \( 6951 \)
#### 4. \( 2,000 + 900 + 60 + 2 \)
- Thousands: \( 2,000 \) → 2
- Hundreds: \( 900 \) → 9
- Tens: \( 60 \) → 6
- Ones: \( 2 \) → 2
- Combine: \( 2962 \)
#### 5. \( 9,000 + 60 \)
- Thousands: \( 9,000 \) → 9
- Hundreds: \( 0 \) → 0
- Tens: \( 60 \) → 6
- Ones: \( 0 \) → 0
- Combine: \( 9060 \)
#### 6. \( 6,000 + 100 + 40 \)
- Thousands: \( 6,000 \) → 6
- Hundreds: \( 100 \) → 1
- Tens: \( 40 \) → 4
- Ones: \( 0 \) → 0
- Combine: \( 6140 \)
#### 7. \( 7,000 + 500 + 80 + 9 \)
- Thousands: \( 7,000 \) → 7
- Hundreds: \( 500 \) → 5
- Tens: \( 80 \) → 8
- Ones: \( 9 \) → 9
- Combine: \( 7589 \)
#### 8. \( 1,000 + 800 + 90 + 1 \)
- Thousands: \( 1,000 \) → 1
- Hundreds: \( 800 \) → 8
- Tens: \( 90 \) → 9
- Ones: \( 1 \) → 1
- Combine: \( 1891 \)
#### 9. \( 5,000 + 600 + 60 + 6 \)
- Thousands: \( 5,000 \) → 5
- Hundreds: \( 600 \) → 6
- Tens: \( 60 \) → 6
- Ones: \( 6 \) → 6
- Combine: \( 5666 \)
#### 10. \( 3,000 + 600 + 30 + 2 \)
- Thousands: \( 3,000 \) → 3
- Hundreds: \( 600 \) → 6
- Tens: \( 30 \) → 3
- Ones: \( 2 \) → 2
- Combine: \( 3632 \)
#### 11. \( 4,000 + 800 + 90 + 2 \)
- Thousands: \( 4,000 \) → 4
- Hundreds: \( 800 \) → 8
- Tens: \( 90 \) → 9
- Ones: \( 2 \) → 2
- Combine: \( 4892 \)
#### 12. \( 9,000 + 400 + 30 + 7 \)
- Thousands: \( 9,000 \) → 9
- Hundreds: \( 400 \) → 4
- Tens: \( 30 \) → 3
- Ones: \( 7 \) → 7
- Combine: \( 9437 \)
#### 13. \( 9,000 + 700 + 60 + 5 \)
- Thousands: \( 9,000 \) → 9
- Hundreds: \( 700 \) → 7
- Tens: \( 60 \) → 6
- Ones: \( 5 \) → 5
- Combine: \( 9765 \)
#### 14. \( 5,000 + 500 + 50 + 5 \)
- Thousands: \( 5,000 \) → 5
- Hundreds: \( 500 \) → 5
- Tens: \( 50 \) → 5
- Ones: \( 5 \) → 5
- Combine: \( 5555 \)
#### 15. \( 6,000 + 100 + 40 \)
- Thousands: \( 6,000 \) → 6
- Hundreds: \( 100 \) → 1
- Tens: \( 40 \) → 4
- Ones: \( 0 \) → 0
- Combine: \( 6140 \)
#### 16. \( 8,000 + 800 + 10 + 1 \)
- Thousands: \( 8,000 \) → 8
- Hundreds: \( 800 \) → 8
- Tens: \( 10 \) → 1
- Ones: \( 1 \) → 1
- Combine: \( 8811 \)
#### 17. \( 2,000 + 200 + 5 \)
- Thousands: \( 2,000 \) → 2
- Hundreds: \( 200 \) → 2
- Tens: \( 0 \) → 0
- Ones: \( 5 \) → 5
- Combine: \( 2205 \)
#### 18. \( 1,000 + 900 + 90 + 9 \)
- Thousands: \( 1,000 \) → 1
- Hundreds: \( 900 \) → 9
- Tens: \( 90 \) → 9
- Ones: \( 9 \) → 9
- Combine: \( 1999 \)
#### 19. \( 2,000 + 50 \)
- Thousands: \( 2,000 \) → 2
- Hundreds: \( 0 \) → 0
- Tens: \( 50 \) → 5
- Ones: \( 0 \) → 0
- Combine: \( 2050 \)
#### 20. \( 9,000 + 700 + 60 + 5 \)
- Thousands: \( 9,000 \) → 9
- Hundreds: \( 700 \) → 7
- Tens: \( 60 \) → 6
- Ones: \( 5 \) → 5
- Combine: \( 9765 \)
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 2473 \\
2. & 8644 \\
3. & 6951 \\
4. & 2962 \\
5. & 9060 \\
6. & 6140 \\
7. & 7589 \\
8. & 1891 \\
9. & 5666 \\
10. & 3632 \\
11. & 4892 \\
12. & 9437 \\
13. & 9765 \\
14. & 5555 \\
15. & 6140 \\
16. & 8811 \\
17. & 2205 \\
18. & 1999 \\
19. & 2050 \\
20. & 9765 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place values worksheet.