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.
Subtraction of 3-Digit Numbers with Regrouping

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.
Subtracting of 3-Digit Numbers with Regrouping

Thus, 747 - 489 = 258


3. Let us subtract 256 from 384.

Write the numbers one below the other as shown.

3-Digit Number Subtraction with Regrouping

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.

3-Digit Subtraction with Regrouping

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.

3-Digit Subtraction with Regroup Twice

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.

Subtract OnesSubtract Ones

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.

Subtract TensSubtract Tens



Step II:

Now, subtract the tens.

9 - 5 = 4

Write 4 in tens place.

Subtract HundredsSubtract Hundreds



Step III:

Subtract the hundreds.

5 - 2 = 3

Write 3 in hundreds 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.

Subtraction of 3-Digit Numbers with Regrouping

Answers:

III. (ii) 7, 7

(iii) 7, 7

(iv) 13, 13


IV. Fill in the missing numbers:

Fill in the Missing Subtraction

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      7     3

      -    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

           4      7     2

      -   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

           8      1     8

      -   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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