Subtraction of 3-digit numbers with regrouping are explained here with examples.
As you borrow from the tens column, you can borrow from the hundreds column also.
REmember:
1 ten = 10 ones
1 hundred = 10 tens
Solved Examples on Subtraction of 3-Digit Numbers with Regrouping:
1. Subtract 674 – 458 Step I: Arrange the numbers vertically. Step II: Subtract the ones column. Since, 8 > 4 and we cannot subtract 8 from 4. So, we regroup 7 tens and 4 ones. Now, 7 tens + 4 ones = 6 tens and 14 ones. 14 – 8 = 6 ones Step III: Subtract the tens column. 6 – 5 = 1 tens Step IV: Subtract the hundreds column. 6 – 4 = 2 hundreds. |
Thus, 674 – 458 = 216 |
2. Subtract 747 – 489.
Step I: Arrange the numbers vertically. Step II: Subtract the ones column. Since, 9 > 7 and we cannot subtract 9 from 7. So, we regroup 4 tens and 7ones. Now, 4 tens + 7 ones = 3 tens and 17 ones. 17 – 9 = 8 ones Step III: Subtract the tens column. Since, 1 ten is regrouped by ones column, so we are left with 4 – 1 = 3 tens. We cannot subtract 8 from 3. So, we regroup 7 hundreds and 3 tens. Now, 7 hundreds + 3 tens = 6 hundreds and 13 tens. 13 – 8 = 5 tens Step IV: Subtract the hundreds column. 6 – 4 = 2 hundreds. |
Thus, 747 - 489 = 258 |
Word Problems on Subtraction of 3-Digit Numbers with Regrouping:
3. There are 705 birds living in the garden. During winters, 438 flew away. How many birds were left in the garden?
Solution:
Birds in the garden = 705
Birds flew away during winters = 438
Questions and Answers on Subtraction of 3-Digit Numbers with Regrouping:
I. Subtract the following:
(i) 625 - 56
(ii) 464 - 79
(iii) 552 - 88
(iv) 814 - 156
(v) 732 - 163
(vi) 406 - 387
(vii) 862 - 195
(viii) 608 - 125
(ix) 233 - 156
(x) 428 - 397
(xi) 786 - 397
(xii) 984 - 592
(xiii) 642 - 555
(xiv) 983 - 394
(xv) 437 - 157
(xvi) 840 - 800
Answers:
I. (i) 569
(ii) 385
(iii) 464
(iv) 658
(v) 569
(vi) 19
(vii) 667
(viii) 483
(ix) 77
(x) 31
(xi) 389
(xii) 372
(xiii) 87
(xiv) 589
(xv) 280
(xvi) 40
II. Subtract the numbers:
(i) 235 - 67
(ii) 652 - 285
(iii) 447 - 285
(iv) 672 - 87
(v) 805 - 299
(vi) 844 - 666
(vii) 554 - 368
(viii) 422 - 173
(ix) 892 – 509
Answers:
II. (i) 168
(ii) 367
(iii) 162
(iv) 585
(v) 506
(vi) 178
(vii) 186
(viii) 249
(ix) 383
III. Fill in the missing number. First one has been done for you.
Answers:
III. (ii) 7, 7
(iii) 7, 7
(iv) 13, 13
IV. Fill in the missing numbers:
Answers:
IV. (i) 3, 3
(ii) 4, 2
(iii) 0, 6
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