We will learn addition of 3-digit numbers with regrouping.
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 |
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.
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
3rd Grade Math Lessons
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