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We will learn addition of 3-digit numbers with regrouping.
What is Regrouping in Addition?
Regrouping in addition means carrying a number to the next place value when the sum in one column is greater than 9.
For example:
278 + 156 = 434
Step-by-step:
Add the ones: 8 + 6 = 14
Write 4 in the ones place and carry 1 ten.
Add the tens:
7 + 5 + 1 = 13
Write 3 in the tens place and carry 1 hundred.
Add the hundreds:
2 + 1 + 1= 4
So, the answer is 434.
Steps to Add 3-Digit Numbers with Regrouping:
Solved Examples:
1. Add 495 and 65.
Solution:
|
Step 1: Arrange the numbers vertically. Step 2: Add the ones. 5 + 5 = 10 ones = 1 ten and 0 one. Write 0 in the ones column and carry over 1 to the tens column. Step 3: Add the tens. 9 + 6 + 1 (carry over) = 16 tens = 1 hundred and 6 tens. Write 6 in the tens column and carry over 1 to the hundreds column. Step 4: Add the hundreds. 4 +1 (carry over) = 5 hundreds. Write 5 in the hundreds column. |
 Thus, 495 + 65 = 560 |
3-Digit Addition with Regrouping Video
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2. Add 379 and 558
Solution:
|
Step 1: Arrange the numbers vertically. Step 2: Add the ones column. 9 + 8 = 17 ones = 1 ten and 7 ones. Write 7 in the ones column and carry over 1 to the tens column. Step 3: Add the tens column. 7 + 5 + 1 (carry over) = 13 tens = 1 hundred and 3 tens. Write 3 in the tens column and carry over 1 to the hundreds column. Step 4: Add the hundreds column. 3 + 5 + 1 (carry over) = 9 hundreds. |
 Thus 379 + 558 = 937 |
3. Let us add 329 and 156.
Write the numbers one below the other as shown.
Step I: Add the ones.
9 ones + 6 ones = 15 ones
Regroup: 15 ones = 1 ten and 5 ones
Write 5 in the ones place.
Carry over 1 ten and write it under ‘T’.
Step II: Add the tens.
1 ten (carried over) + 2 tens + 5 tens = 8 tens
Write 8 in the tens place.
Step III: Add the hundreds.
3 hundreds + 1 hundred = 4 hundreds
Write 4 in the hundreds place.
The sum is 485.
4. Let us add 362 and 475.
Write the numbers one below the other as shown.
Step I: Add the ones.
2 ones + 5 ones = 7 ones
Write 7 in the ones place.
Step II: Add the tens.
6 tens + 7 tens = 13 tens
Regroup: 13 tens = 1 hundred and 3 tens
Write 3 in the tens place.
Carry over 1 hundred and write it under ‘H’.
Step III: Add the hundreds.
1 hundred (carried over) + 3 hundreds + 4 hundreds = 8 hundreds
Write 8 in the hundreds place.
The sum is 837.
5. Let us and 365 and 267.
Here we need to regroup twice.
Write the numbers one below the other as shown.
Step I: Add the ones.
5 ones + 7 ones = 12 ones
Regroup: 12 ones = 1 ten and 2 ones
Write 2 in the ones place.
Carry over 1 ten and write it under ‘T’.
Step II: Add the tens.
1 ten (carried over) + 6 tens + 6 tens = 13 tens
Regroup: 13 tens = 1 hundred and 3 tens
Write 3 in the tens place.
Carry over 1 hundred and write it under ‘H’.
Step III: Add the hundreds.
1 hundred (carried over) + 3 hundreds + 2 hundreds = 6 hundreds
Write 6 under ‘H’.
The sum is 632.
Word Problems on Addition of 3-Digit Numbers with Regrouping:
5. There are 274 birds in the park. 149 more join them. How many birds are there in the park?
Step I:
Add the ones first.
4 + 9 = 13 ones.
Write 3 under ones column and carry 1 ten to the tens column.
Step II:
Next, add the tens.
1 + 7 + 4 = 12 tens.
Write 2 under tens column and carry 1 to the hundreds column.
Step III:
Finally, add the hundreds.
1 + 2 + 1 = 4 hundreds.
Write 4 under hundreds column.
Thus, there are 423 birds in all.
Adding 3-Digit Numbers Without Regrouping Video
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Addition with Regrouping Worksheets:
Worksheet on Addition of 3-Digit Numbers with Regrouping:
I. Add the following numbers:
(i) 973 + 18
(ii) 536 + 69
(iii) 797 + 26
(iv) 479 + 32
(v) 284 + 33
(vi) 529 + 74
(vii) 664 + 9
(viii) 708 + 12
(ix) 675 + 38
(x) 468 + 68
(xi) 209 + 84
(xii) 900 + 92
(xiii) 421 + 79
(xiv) 579 + 78
(xv) 251 + 84
(xvi) 676 + 35
Answer:
I. (i) 981
(ii) 605
(iii) 826
(iv) 511
(v) 317
(vi) 603
(vii) 673
(viii) 740
(ix) 713
(x) 536
(xi) 393
(xii) 992
(xiii) 500
(xiv) 657
(xv) 335
(xvi) 711
II. Add the following numbers:
(i) 257 + 483
(ii) 559 + 207
(iii) 357 + 376
(iv) 436 + 354
(v) 618 + 162
(vi) 428 + 357
(vii) 364 + 546
(viii) 518 + 293
(ix) 329 + 600
(x) 533 + 428
(xi) 442 + 279
(xii) 269 + 542
(xiii) 364 + 263
(xiv) 490 + 240
(xv) 836 + 157
(xvi) 680 + 255
Answer:
II. (i) 740
(ii) 766
(iii) 733
(iv) 790
(v) 780
(vi) 785
(vii) 910
(viii) 811
(ix) 929
(x) 961
(xi) 721
(xii) 811
(xiii) 627
(xiv) 730
(xv) 993
(xvi) 935
III. Add the following 3-digit numbers with regrouping twice as shown.
|
(i) |
H T O 1 1 2 3 5 + 8 8 3 2 3 ____________ |
(ii) |
H T O 7 6 9 + 3 4 ____________ |
|
(iii) |
H T O 3 5 7 + 8 4 ____________ |
(iv) |
H T O 5 9 6 + 2 6 5 ____________ |
|
(v) |
H T O 2 4 5 + 1 7 7 ____________ |
(vi) |
H T O 3 2 9 + 3 9 2 ____________ |
|
(vii) |
H T O 1 4 9 + 5 7 6 ____________ |
(viii) |
H T O 4 6 5 + 3 5 9 ____________ |
Answer:
III. (ii) 803
(iii) 441
(iv) 861
(v) 422
(vi) 721
(vii) 725
(viii) 824
IV. Worksheet on Word Problems on Addition of 3-Digit Numbers with Regrouping:
(i) Christina bought 88 mangoes and 154 apples. How many fruits did she buy in all?
(ii) Austin scored 25, 118, 92 and 29 runs in four matches. How many runs did he score in all?
Answer:
IV. 242 fruits
(ii) 264 runs
FAQs on Addition with Regrouping
Answer:
Regrouping in addition means carrying extra tens or hundreds to the next place value when the sum is greater than 9.
Answer:
We regroup to place numbers in the correct place value columns such as ones, tens, and hundreds.
Answer:
Yes. Regrouping and carrying both describe moving extra value to the next column during addition.
Answer:
We need regrouping when the sum of digits in a column is 10 or more.
Answer:
First add the ones, regroup if needed, then add the tens and hundreds step by step.
Answer:
Yes. If the tens sum is greater than 9, regroup to the hundreds column.
Answer:
Place value helps keep ones, tens, and hundreds in their correct positions while adding.
Answer:
In regrouping addition, you carry numbers to the next column. In non-regrouping addition, no carrying is needed.
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