Printable 4-digit addition worksheet with grid lines for practice.
A math worksheet with grid lines featuring multiple 4-digit addition problems.
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Addition With Regrouping - Carrying - 9 Worksheets | Math ...
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Addition With Regrouping - Carrying - 9 Worksheets | Math ...
The task involves solving a series of addition problems. Each problem consists of two numbers that need to be added together. Below, I will solve each addition problem step by step.
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1. 9579 + 8765
- Add the units place: \( 9 + 5 = 14 \) (write 4, carry 1)
- Add the tens place: \( 7 + 6 + 1 = 14 \) (write 4, carry 1)
- Add the hundreds place: \( 5 + 7 + 1 = 13 \) (write 3, carry 1)
- Add the thousands place: \( 9 + 8 + 1 = 18 \) (write 8, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9579 + 8765 = 18344 \)
2. 4321 + 9999
- Add the units place: \( 1 + 9 = 10 \) (write 0, carry 1)
- Add the tens place: \( 2 + 9 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 3 + 9 + 1 = 13 \) (write 3, carry 1)
- Add the thousands place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 4321 + 9999 = 14320 \)
3. 9795 + 8969
- Add the units place: \( 5 + 9 = 14 \) (write 4, carry 1)
- Add the tens place: \( 9 + 6 + 1 = 16 \) (write 6, carry 1)
- Add the hundreds place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 8 + 1 = 18 \) (write 8, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9795 + 8969 = 18764 \)
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4. 9699 + 5978
- Add the units place: \( 9 + 8 = 17 \) (write 7, carry 1)
- Add the tens place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the thousands place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9699 + 5978 = 15677 \)
5. 6929 + 9897
- Add the units place: \( 9 + 7 = 16 \) (write 6, carry 1)
- Add the tens place: \( 2 + 9 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 9 + 8 + 1 = 18 \) (write 8, carry 1)
- Add the thousands place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 6929 + 9897 = 16826 \)
6. 3994 + 9329
- Add the units place: \( 4 + 9 = 13 \) (write 3, carry 1)
- Add the tens place: \( 9 + 2 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 9 + 3 + 1 = 13 \) (write 3, carry 1)
- Add the thousands place: \( 3 + 9 + 1 = 13 \) (write 3, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 3994 + 9329 = 13323 \)
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7. 9795 + 6939
- Add the units place: \( 5 + 9 = 14 \) (write 4, carry 1)
- Add the tens place: \( 9 + 3 + 1 = 13 \) (write 3, carry 1)
- Add the hundreds place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 6 + 1 = 16 \) (write 6, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9795 + 6939 = 16734 \)
8. 5969 + 9584
- Add the units place: \( 9 + 4 = 13 \) (write 3, carry 1)
- Add the tens place: \( 6 + 8 + 1 = 15 \) (write 5, carry 1)
- Add the hundreds place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the thousands place: \( 5 + 9 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 5969 + 9584 = 15553 \)
9. 4929 + 9591
- Add the units place: \( 9 + 1 = 10 \) (write 0, carry 1)
- Add the tens place: \( 2 + 9 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the thousands place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 4929 + 9591 = 14520 \)
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10. 6499 + 2978
- Add the units place: \( 9 + 8 = 17 \) (write 7, carry 1)
- Add the tens place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the thousands place: \( 6 + 2 + 1 = 9 \)
- Add the ten-thousands place: \( 0 + 0 = 0 \)
Result: \( 6499 + 2978 = 9477 \)
11. 9754 + 5979
- Add the units place: \( 4 + 9 = 13 \) (write 3, carry 1)
- Add the tens place: \( 5 + 7 + 1 = 13 \) (write 3, carry 1)
- Add the hundreds place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9754 + 5979 = 15733 \)
12. 6978 + 9499
- Add the units place: \( 8 + 9 = 17 \) (write 7, carry 1)
- Add the tens place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 9 + 4 + 1 = 14 \) (write 4, carry 1)
- Add the thousands place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 6978 + 9499 = 16477 \)
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13. 4958 + 9593
- Add the units place: \( 8 + 3 = 11 \) (write 1, carry 1)
- Add the tens place: \( 5 + 9 + 1 = 15 \) (write 5, carry 1)
- Add the hundreds place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the thousands place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 4958 + 9593 = 14551 \)
14. 9993 + 5779
- Add the units place: \( 3 + 9 = 12 \) (write 2, carry 1)
- Add the tens place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9993 + 5779 = 15772 \)
15. 9699 + 3958
- Add the units place: \( 9 + 8 = 17 \) (write 7, carry 1)
- Add the tens place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the hundreds place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the thousands place: \( 9 + 3 + 1 = 13 \) (write 3, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9699 + 3958 = 13657 \)
---
\[
\boxed{
\begin{array}{ccc}
18344 & 14320 & 18764 \\
15677 & 16826 & 13323 \\
16734 & 15553 & 14520 \\
9477 & 15733 & 16477 \\
14551 & 15772 & 13657 \\
\end{array}
}
\]
---
Row 1:
1. 9579 + 8765
- Add the units place: \( 9 + 5 = 14 \) (write 4, carry 1)
- Add the tens place: \( 7 + 6 + 1 = 14 \) (write 4, carry 1)
- Add the hundreds place: \( 5 + 7 + 1 = 13 \) (write 3, carry 1)
- Add the thousands place: \( 9 + 8 + 1 = 18 \) (write 8, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9579 + 8765 = 18344 \)
2. 4321 + 9999
- Add the units place: \( 1 + 9 = 10 \) (write 0, carry 1)
- Add the tens place: \( 2 + 9 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 3 + 9 + 1 = 13 \) (write 3, carry 1)
- Add the thousands place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 4321 + 9999 = 14320 \)
3. 9795 + 8969
- Add the units place: \( 5 + 9 = 14 \) (write 4, carry 1)
- Add the tens place: \( 9 + 6 + 1 = 16 \) (write 6, carry 1)
- Add the hundreds place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 8 + 1 = 18 \) (write 8, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9795 + 8969 = 18764 \)
---
Row 2:
4. 9699 + 5978
- Add the units place: \( 9 + 8 = 17 \) (write 7, carry 1)
- Add the tens place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the thousands place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9699 + 5978 = 15677 \)
5. 6929 + 9897
- Add the units place: \( 9 + 7 = 16 \) (write 6, carry 1)
- Add the tens place: \( 2 + 9 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 9 + 8 + 1 = 18 \) (write 8, carry 1)
- Add the thousands place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 6929 + 9897 = 16826 \)
6. 3994 + 9329
- Add the units place: \( 4 + 9 = 13 \) (write 3, carry 1)
- Add the tens place: \( 9 + 2 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 9 + 3 + 1 = 13 \) (write 3, carry 1)
- Add the thousands place: \( 3 + 9 + 1 = 13 \) (write 3, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 3994 + 9329 = 13323 \)
---
Row 3:
7. 9795 + 6939
- Add the units place: \( 5 + 9 = 14 \) (write 4, carry 1)
- Add the tens place: \( 9 + 3 + 1 = 13 \) (write 3, carry 1)
- Add the hundreds place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 6 + 1 = 16 \) (write 6, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9795 + 6939 = 16734 \)
8. 5969 + 9584
- Add the units place: \( 9 + 4 = 13 \) (write 3, carry 1)
- Add the tens place: \( 6 + 8 + 1 = 15 \) (write 5, carry 1)
- Add the hundreds place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the thousands place: \( 5 + 9 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 5969 + 9584 = 15553 \)
9. 4929 + 9591
- Add the units place: \( 9 + 1 = 10 \) (write 0, carry 1)
- Add the tens place: \( 2 + 9 + 1 = 12 \) (write 2, carry 1)
- Add the hundreds place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the thousands place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 4929 + 9591 = 14520 \)
---
Row 4:
10. 6499 + 2978
- Add the units place: \( 9 + 8 = 17 \) (write 7, carry 1)
- Add the tens place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the thousands place: \( 6 + 2 + 1 = 9 \)
- Add the ten-thousands place: \( 0 + 0 = 0 \)
Result: \( 6499 + 2978 = 9477 \)
11. 9754 + 5979
- Add the units place: \( 4 + 9 = 13 \) (write 3, carry 1)
- Add the tens place: \( 5 + 7 + 1 = 13 \) (write 3, carry 1)
- Add the hundreds place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9754 + 5979 = 15733 \)
12. 6978 + 9499
- Add the units place: \( 8 + 9 = 17 \) (write 7, carry 1)
- Add the tens place: \( 7 + 9 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 9 + 4 + 1 = 14 \) (write 4, carry 1)
- Add the thousands place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 6978 + 9499 = 16477 \)
---
Row 5:
13. 4958 + 9593
- Add the units place: \( 8 + 3 = 11 \) (write 1, carry 1)
- Add the tens place: \( 5 + 9 + 1 = 15 \) (write 5, carry 1)
- Add the hundreds place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the thousands place: \( 4 + 9 + 1 = 14 \) (write 4, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 4958 + 9593 = 14551 \)
14. 9993 + 5779
- Add the units place: \( 3 + 9 = 12 \) (write 2, carry 1)
- Add the tens place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the hundreds place: \( 9 + 7 + 1 = 17 \) (write 7, carry 1)
- Add the thousands place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9993 + 5779 = 15772 \)
15. 9699 + 3958
- Add the units place: \( 9 + 8 = 17 \) (write 7, carry 1)
- Add the tens place: \( 9 + 5 + 1 = 15 \) (write 5, carry 1)
- Add the hundreds place: \( 6 + 9 + 1 = 16 \) (write 6, carry 1)
- Add the thousands place: \( 9 + 3 + 1 = 13 \) (write 3, carry 1)
- Add the ten-thousands place: \( 0 + 0 + 1 = 1 \)
Result: \( 9699 + 3958 = 13657 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ccc}
18344 & 14320 & 18764 \\
15677 & 16826 & 13323 \\
16734 & 15553 & 14520 \\
9477 & 15733 & 16477 \\
14551 & 15772 & 13657 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of addition with regrouping worksheet 4th.