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Subtraction of 3-Digit Numbers with Regrouping
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 |
3. Let us subtract 256 from 384.
Write the numbers one below the other as shown.
Step I: Subtract the ones.
But 6 ones cannot be taken away from 4 ones.
So, borrow 1 ten from 8 tens.
7 tens remain in place of 8 tens.
Cross out 8 and write 7.
Regroup: 1 ten (borrowed) with 4 ones = 14 ones
14 ones - 6 ones = 8 ones
Write 8 in the ones place.
Step II: Subtract the tens.
7 tens (remaining) - 5 tens = 2 tens
Write 2 in the tens place.
Step III: Subtract the hundreds.
3 hundreds 2 hundreds = 1 hundred
Write 1 in the hundreds place.
The difference is 128.
4. Let us subtract 173 from 649.
Write the numbers one below the other as shown.
Step I: Subtract the ones.
9 ones - 3 ones = 6 ones
Write 6 in the ones place.
Step II: Subtract the tens.
But 7 tens cannot be taken away from 4 tens.
So, borrow 1 hundred from 6 hundreds.
5 hundreds remain in place of 6 hundreds.
Cross out 6 and write 5.
Regroup: 1 hundred (borrowed) with 4 tens = 14 tens
14 tens -7 tens = 7 tens
Write 7 in the tens place.
Step III: Subtract the hundreds.
5 hundreds (remaining) - 1 hundred = 4 hundreds
Write 4 in the hundreds place.
The difference is 476.
5. Let us subtract 245 from 732.
Here we need to regroup twice.
Write the numbers one below the other as shown.
Step I: Subtract the ones.
But 5 ones cannot be taken away from 2 ones.
So, borrow 1 ten from 3 tens.
2 tens remain in place of 3 tens.
Cross out 3 and write 2.
Regroup: 1 ten (borrowed) with 2 ones = 12 ones
12 ones - 5 ones = 7 ones
Write 7 in the ones place.
Step II: Subtract the tens.
But 4 tens cannot be taken away from 2 tens (remaining).
So, borrow 1 hundred from 7 hundreds.
6 hundreds remain in place of 7 hundreds.
Cross out 7 and write 6.
Regroup: 1 hundred (borrowed) with 2 tens (remaining) = 12 tens
12 tens - 4 tens = 8 tens
Write 8 in the tens place.
Step III: Subtract the hundreds.
6 hundreds (remaining) - 2 hundreds = 4 hundreds
Write 4 in the hundreds place.
The difference is 487.
Word Problems on Subtraction of 3-Digit Numbers with Regrouping:
6. 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
7. There are 600 flowers in Toby's garden and 256 flowers in Ehsan's garden. How many more flowers are there in Toby's garden?
Solution:
We have to subtract 256 from 600.
Step I:
First borrow 1 hundred for tens column.
Now, we have 10 tens.
Again borrow 1 ten for ones column.
Now, we have 10 ones.
10 - 6 = 4 ones.
Write 4 in ones place.
Thus, there are 344 more flowers in Toby's garden.
Worksheet 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
V. Subtract of 3-digit numbers by regrouping as shown.
|
(i) |
H T O 6 1 2 - 1 4 5 1 2 8 |
(ii) |
H T O 3 8 4 - 1 5 9
|
|
(iii) |
H T O 5 8 7 - 2 3 8
|
(iv) |
H T O 6 9 8 - 3 6 9
|
|
(v) |
H T O 8 8 2 - 3 7 5
|
(vi) |
H T O 5 8 4 - 1 5 7
|
Answers:
V. (ii) 225
(iii) 349
(iv) 329
(v) 507
(vi) 427
VI. Subtract of 3-digit numbers by regrouping as shown.
|
(i) |
H T O 3 1 - 1 8 1 2 9 1 |
(ii) |
H T O 2 2 6 - 1 4 4
|
|
(iii) |
H T O 7 6 8 - 4 7 4
|
(iv) |
H T O 5 3 7 - 3 9 6
|
|
(iii) |
H T O 7 6 8 - 4 7 4
|
(iv) |
H T O 5 3 7 - 3 9 6
|
|
(v) |
H T O 8 6 4 - 2 9 4
|
(vi) |
H T O 9 0 8 - 4 5 7
|
|
(vii) |
H T O 4 6 3 - 2 9 1
|
(viii) |
H T O 9 4 8 - 7 6 7
|
Answers:
VI. (ii) 82
(iii) 294
(iv) 141
(v) 570
(vi) 451
(vii) 172
(viii) 181
VII. Subtract of 3-digit numbers by regrouping twice as shown.
|
(i) |
H T O 1 7 0 1 - 4 3 9 3 7 9 |
(ii) |
H T O 6 3 3 - 3 6 6
|
|
(iii) |
H T O 7 4 2 - 3 9 9
|
(iv) |
H T O 3 8 4 - 1 8 5
|
|
(v) |
H T O 6 6 2 - 2 7 3
|
(vi) |
H T O 5 6 0 - 2 7 7
|
|
(vii) |
H T O 5 3 7 - 3 0 8
|
(viii) |
H T O 4 6 2 - 2 9 4
|
|
(ix) |
H T O 9 4 8 - 7 6 9
|
(x) |
H T O 8 1 5 - 4 3 6
|
Answers:
VII. (ii) 267
(iii) 343
(iv) 199
(v) 389
(vi) 283
(vii) 229
(viii) 168
(ix) 179
(x) 379
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