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Adding 4-digit Numbers with Regrouping
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- Adding 4-digit Numbers With Regrouping
We will learn adding 4-digit numbers with regrouping.
Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start adding from the ones place and regroup, if required as shown in the following examples.
Solved Examples on Adding 4-digit Numbers with Regrouping:
1. Add 6196 and 3025.
Solution:
|
Step I: Add the ones. 6 + 5 = 11 ones = 1 ten and 1 one. Write 1 in ones column and carry 1 to the tens column. Step II: Add the tens. 9 + 2 + 1 (carry over) = 12 tens. 12 tens = 1 hundreds and 2 tens. Write 2 in tens column and carry 1 to the hundreds column. Step III: Add the hundreds. 1 + 0 + 1 (carry over) = 2 hundreds. Write 2 in the hundreds column. Step IV: Add the thousands. 6 + 3 = 9 thousands. Write 9 in the thousands column. |
 Hence, 6196 + 3025 = 9221 |
2. Add 3018, 5123 and 1762.
Solution:
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Step I: Add the ones. 8 + 3 + 2 = 13 ones = 1 ten and 3 one. Write 3 in ones column and carry 1 to the tens column. Step II: Add the tens. 1 + 2 + 6 + 1 (carry over) = 10 tens. 10 tens = 1 hundreds and 0 tens. Write 0 in tens column and carry 1 to the hundreds column. Step III: Add the hundreds. 0 + 1 + 7 + 1 (carry over) = 9 hundreds. Write 9 in the hundreds column. Step IV: Add the thousands. 3 + 5 + 1 = 9 thousands. Write 9 in the thousands column. |
 Hence, 3018 + 5123 + 1762 = 9903 |
3. Add 5,386 and 3,927.
Step I: Arrange the numbers in columns.
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Th |
H |
T |
O | ||
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5 |
3 |
8 |
6 | ||
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+ |
3 |
9 |
2 |
7 |
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Step II: Adding ones, we have:
6 ones + 7 ones = 13 ones = 1 ten + 3 ones.
Carry over 1 to tens column and write 3 under ones column.
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Th |
H |
T |
O | ||
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1 | |||||
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5 |
3 |
8 |
6 | ||
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+ |
3 |
9 |
2 |
7 |
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3 |
Step III: Adding tens, we have:
1 ten (carried) + 8 tens + 2 tens = 11 tens = 1 hundred + 1 ten.
Carry over 1 to hundreds column and write 1 under tens column.
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Th |
H |
T |
O | ||
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1 |
1 | ||||
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5 |
3 |
8 |
6 | ||
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+ |
3 |
9 |
2 |
7 |
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1 |
3 |
Step IV: Adding hundreds, we have:
1 hundred (carried) + 3 hundreds + 9 hundreds = 13 hundreds
= 1 thousand + 3 hundreds.
Carry over 1 to thousands column and write 3 under hundreds column.
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Th |
H |
T |
O | ||
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1 |
1 |
1 | |||
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5 |
3 |
8 |
6 | ||
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+ |
3 |
9 |
2 |
7 |
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3 |
1 |
3 |
Step V: Adding thousands, we have
1 thousand (carried) + 5 thousands + 3 thousands = 9 thousands
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Th |
H |
T |
O | ||
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1 |
1 |
1 | |||
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5 |
3 |
8 |
6 | ||
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+ |
3 |
9 |
2 |
7 |
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9 |
3 |
1 |
3 |
Hence, 5,386 + 3,927 = 9,313 (Nine thousand three hundred thirteen).
4. Add 2578 and 4679.
Solution:
Arrange the numbers one below the other in the place value and add column wise.
Step I: Add the ones
8 ones + 9 ones = 17 ones
10 ones + 7 ones = 1 ten + 7 ones
Write 7 under the ones column and carry over 1 ten to the tens column.
Step II: Add the tens.
1 ten (carried over) + 7 tens + 7 tens 15 tens
= 10 tens + 5 tens = 1 hundred + 5 tens
Write 5 under the tens column and carry over 1 hundred to the hundreds column.
Step III: Add the hundreds.
1 hundred (carried over) + 5 hundreds + 6 hundreds
= 12 hundreds
= 10 hundreds + 2 hundreds
= 1 thousand + 2 hundreds
Write 2 under the hundreds column and carry over 1 thousand to the thousands column.
Step IV: Add the thousands
1 thousand (carried over) + 2 thousand + 4 thousands = 7 thousands
Write 7 under the thousands column.
PLAY 4-Digit Addition with Regrouping GAME:
🌈 Addition Game
Solve the addition sums!
Worksheet on Adding 4-digit Numbers with Regrouping:
Questions and Answers on Adding 4-digit Numbers with Regrouping:
I. Add the given numbers:
(i) 3571 and 5237
(ii) 4218 and 3573
(iii) 2184, 1096 and 3840
(iv) 4637 and 4645
(v) 3962 and 3057
(vi) 1489, 2801 and 5100
(vii) 2263 and 6761
(viii) 5566 and 3377
(ix) 8059, 401 and 121
(x) 4367 and 3818
(xi) 7618 and 1494
(xii) 327, 7054 and 37
Answers:
I. (i) 8808
(ii) 7791
(iii) 7120
(iv) 9282
(v) 7019
(vi) 9390
(vii) 9024
(viii) 8943
(ix) 8581
(x) 8185
(xi) 9112
(xii) 7418
FAQs on Adding 4-digit Numbers with Regrouping:
1. What is regrouping in addition?
1. What is regrouping in addition?
Answer:
Regrouping means carrying numbers to the next place value when the sum in a column is greater than 9.
2. How do you add 4-digit numbers with regrouping?
2. How do you add 4-digit numbers with regrouping?
Answer:
Arrange numbers by place value, add from right to left, and carry when needed.
3. What is another name for regrouping?
3. What is another name for regrouping?
Answer:
Regrouping is also called carrying in addition.
4. Why is regrouping important?
4. Why is regrouping important?
Answer:
It helps add larger numbers correctly using place values.
Related Pages:
- Addition of 4-Digit Numbers
- Adding 4-digit Numbers without Regrouping
- Addition
- Worksheet on Adding 4-digit Numbers without Regrouping
- Adding 4-digit Numbers with Regrouping
- Worksheet on Adding 4-digit Numbers with Regrouping
- Adding 5-digit Numbers with Regrouping
- Addition of 6-Digit Numbers
About Author
Written by Priyanka Ghosh
Mathematics Educator | Founder of Math Only Math
Priyanka Ghosh has been teaching elementary and middle-school mathematics for over 12 years and specializes in creating simple, child-friendly math lessons and worksheets.
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