[ad_1]

We are going to be taught concerning the subtraction of 4-digit numbers
(with out borrowing and with borrowing).

We all know when one quantity is subtracted from one other quantity
the consequence obtained is named the distinction. The higher quantity is named the minuend
and the smaller quantity is named the subtrahend. We use subtraction once we
take away, examine, to seek out out what doesn’t belong to a gaggle.

The principles of subtraction stay the identical as for the quantity
having much less digits. We first write the higher quantity on the high. Then subtract
the digits column-wise ones from ones, tens from tens, tons of from tons of, hundreds
from hundreds and so forth.

I. Subtraction of 4-Digit Numbers (with out borrowing):

Take into account a few of the following
examples.

1. Subtract 3276 from 5896.

Answer:

Th H T O

5 8 9 6

– 3 2 7 6

Subtract ones i.e., 6 – 6 = 0 and write down 0 in ones
column.

Th H T O

5 8 9 6

– 3 2 7 6

2 0

Subtract tens i.e., 9 – 7 = 2 and write down 2 in tens
column.

Th H T O

5 8 9 6

– 3 2 7 6

6 2 0

Subtract tons of i.e., 8 – 2 = 6 and write down 6 in
tons of column.

Th H T O

5 8 9 6

– 3 2 7 6

2 6 2 0

Subtract hundreds i.e., 5 – 3 = 2 and write down 2 in hundreds
column.

So the distinction between 5896 and 3276 is 2620.

3. Subtract 2435 from 6769.

Answer:

$4-Digit Subtraction without Borrowing$

Step I: Prepare the quantity in coloumn of hundreds, tons of, tens and ones.

Step II: Subtract ones.

Step III: Subtract tens.

Step IV: Subtract tons of.

Step V: Subtract hundreds.

4. Subtract 3573 from 7998.

Answer:

Th H T O

7 9 9 8

– 3 5 7 3

4 4 2 5

II. Subtraction of 4-Digit Numbers (with borrowing):

Subtraction with Regrouping:

Regrouping From Tens to Ones Place –

1. Subtract 4539 from 7968.

Th H T O

5 18

7 9 6 8

– 4 5 3 9

Subtracting Ones:

8 – 9 shouldn’t be potential

Regrouping 1 ten as 10 ones

Borrow 1 ten make 18

Then 18 – 9 = 9

Write 9 below O.

Th H T O

5 18

7 9 6 8

– 4 5 3 9

3 4 2 9

Subtracting Tens:

As a substitute of 6 tens, we’ve 5 tens write 5 in tens place as a substitute of 6

5 – 3 = 2

Write 2 below T.

III. Subtraction of 4-Digit Numbers (with borrowing):

Subtraction with Regrouping:

Regrouping From Tens and Tons of Place –

1. Subtract 6289 from 8675.

Th H T O

6 15

8 6 7 5

– 6 2 8 9

Subtracting Ones:

5 – 9 shouldn’t be potential

Regrouping 1 ten as 10 ones

Borrow 1 ten make 15

Then 15 – 9 = 6

Write 9 below O.

Th H T O

5 6 15

8 6 7 5

– 6 2 8 9

8 6

Subtracting Tens:

As a substitute of seven tens, we’ve 6 tens

6 – 8 shouldn’t be potential.

Regrouping 1 hundred as 10 tens borrow 1 hundred make 16

Then 16 – 8 = 8

Write 8 below T.

Th H T O

5 6 15

8 6 7 5

– 6 2 8 9

3 8 6

Subtracting Tons of:

As a substitute of 6 tons of, we’ve 5 tons of

Write 5 in tons of place, as a substitute of 6

Then 5 – 2 = 3

Write 3 below H.

Th H T O

5 16

5 6 15

8 6 7 5

– 6 2 8 9

2 3 8 6

Subtracting 1000’s:

8 – 6 = 2

Write 2 below Th.

IV. Subtraction of 4-Digit Numbers (with borrowing):

Subtraction with Regrouping:

Regrouping From Tens, Tons of and 1000’s Place –

1. Subtract 3837 from 6825.

Th H T O

1 15

6 8 2 5

– 3 8 3 7

Subtracting Ones:

5 – 7 shouldn’t be potential

Regrouping 1 ten as 10 ones

Borrow 1 ten make 15

Then 15 – 7 = 8

Write 8 below O.

Th H T O

7 1 15

6 8 2 5

– 3 8 3 7

8 8

Subtracting Tens:

As a substitute of two tens, we’ve 1 tens

1 – 3 shouldn’t be potential.

Regrouping 1 hundred as 10 tens borrow 1 hundred make 11

Then 11 – 3 = 8

Write 8 below T.

Th H T O

17 11

5 7 1 15

6 8 2 5

– 3 8 3 7

9 8 8

Subtracting Tons of:

As a substitute of 8 tons of, we’ve 7 tons of

7 – 8 shouldn’t be potential.

Regroup 1 thousand as 10 hundred

Borrow 1 thousand make 17

Then 17 – 8 = 9

Write 9 below H.

Th H T O

17 11

5 7 1 15

6 8 2 5

– 3 8 3 7

2 9 8 8

Subtracting 1000’s:

As a substitute of 6 hundreds, we’ve 5 hundreds

5 – 3 = 2

Write 2 below Th.

Take into account the next instance.

2. Subtract 7864 from 9643.

Answer:

Th H T O

3 13

9 6 4 3

– 7 8 6 4

Subtract Ones: We can not subtract 4 ones from 3 ones. So, we
borrow 1 ten (1 ten and three ones turn out to be 13 ones). Now 13 ones – 4 ones = 9 ones.
Write 9 in ones place.

Th H T O

5 13

9 6 4 3

– 7 8 6 4

7 9

Subtract Tens: We can not subtract 6 tens from 3 tens. So, we
once more borrow 1 hundred (1 hundred and three tens turn out to be 13 tens). Now 13 tens – 6 tens
= 7 tens. Write 7 in tens place.

Th H T O

8 15

9 6 4 3

– 7 8 6 4

7 7 9

Subtract Tons of: We can not subtract 8 tons of from 5
tons of. So, we once more borrow 1 thousand (1 thousand and 5 tons of turn out to be 15 tons of).
Now 15 tons of – 8 tons of = 7 tons of. Write 7 in tons of place.

Th H T O

9 6 4 3

– 7 8 6 4

1 7 7 9

Subtract 1000’s: We will subtract 7 hundreds from 8
hundreds i.e., 8 hundreds – 7 hundreds = 1 hundreds. Write 1 in hundreds
place.

So, the distinction between 9643 and 7864 is 1779.

Questions and Solutions on Subtraction of 4-Digit Numbers:

1. Resolve the next of 4-digit Subtraction (With out Borrowing):

(i)

Th H T O

3 3 8 9

– 2 4 3

_________________

(ii)

Th H T O

8 5 6 7

– 3 4 5

_________________

(iii)

Th H T O

6 5 7 4

– 1 5 2

_________________

(iv)

Th H T O

5 8 9 9

– 6 7 6

_________________

(v)

Th H T O

4 4 5 2

– 1 3 1

_________________

(vi)

Th H T O

8 7 4 6

– 5 5 3 4

_________________

(vii)

Th H T O

7 6 5 6

– 3 4 2 4

_________________

(viii)

Th H T O

5 8 8 6

– 2 5 5 3

_________________

(ix)

Th H T O

9 7 9 8

– 5 5 7 6

_________________

(x)

Th H T O

8 6 5 4

– 4 6 5 4

_________________

(xi)

Th H T O

7 7 7 7

– 5 4 3 2

_________________

(xii)

Th H T O

6 9 7 6

– 3 6 4 1

_________________

(xiii)

Th H T O

3 8 7 9

– 1 5 6 8

_________________

(xiv)

Th H T O

4 4 4 4

– 2 1 3 2

_________________

(xv)

Th H T O

9 9 8 8

– 5 6 3 4

_________________

(xvi)

Th H T O

4 5 7 9

– 2 3 1 5

_________________

(xvii)

Th H T O

5 6 9 2

– 3 4 8 1

_________________

(xviii)

Th H T O

6 8 3 2

– 2 2 0 1

_________________

(xix)

Th H T O

7 5 6 4

– 3 1 2 1

_________________

(xx)

Th H T O

9 9 6 5

– 8 6 1 3

_________________

(xxi)

Th H T O

7 4 3 7

– 5 4 3 6

_________________

(xxii)

Th H T O

2 1 4 1

– 1 0 2 0

_________________

(xxiii)

Th H T O

8 7 6 5

– 4 4 2 3

_________________

(xxiv)

Th H T O

9 8 7 6

– 8 7 6 5

_________________

(xxv)

Th H T O

5 6 7 8

– 2 3 4 5

_________________

2. Resolve the next of 4-digit Subtraction (With out Borrowing):

(i)

Th H T O

9 9 8 6

– 8 6 5

_________________

(ii)

Th H T O

8 6 8 7

– 3 2 4

_________________

(iii)

Th H T O

7 8 4 6

– 5 2 3

_________________

(iv)

Th H T O

6 5 7 6

– 4 3 3

_________________

(v)

Th H T O

5 7 9 8

– 5 2 3

_________________

(vi)

Th H T O

8 7 8 6

– 5 2 5 2

_________________

(vii)

Th H T O

2 4 6 8

– 1 2 3 5

_________________

(viii)

Th H T O

6 8 5 4

– 3 4 2 2

_________________

(ix)

Th H T O

7 9 6 4

– 4 5 1 2

_________________

(x)

Th H T O

3 4 7 5

– 1 1 6 4

_________________

(xi)

Th H T O

5 7 7 9

– 5 5 4 4

_________________

(xii)

Th H T O

9 5 8 9

– 4 2 4 3

_________________

(xiii)

Th H T O

4 2 9 4

– 3 1 6 3

_________________

(xiv)

Th H T O

8 7 6 6

– 4 3 4 1

_________________

(xv)

Th H T O

7 5 8 7

– 6 3 4 5

_________________

(xvi)

Th H T O

4 2 2 3

– 2 1 1 2

_________________

(xvii)

Th H T O

5 8 2 9

– 4 7 1 5

_________________

(xviii)

Th H T O

9 9 9 9

– 7 7 7 7

_________________

(xix)

Th H T O

6 6 9 7

– 4 5 7 5

_________________

(xx)

Th H T O

8 9 9 8

– 5 7 7 4

_________________

3. Do these following of 4-Digit Subtraction (With out Borrowing) in your Pocket book:

(i)
4679 – 1256

(ii)
2942 – 1621

(iii)
2687 – 432

(iv)
8975 – 853

(v)
3387 – 1264

(vi)
3778 – 2764

(vii)
6799 – 5678

(viii)
7832 – 3411

(ix)
6876 – 3354

(x)
9797 – 8546

(xi)
7000 – 1000

(xii)
9569 – 5217

(xiii)
5575 – 3343

(xiv)
4989 – 2545

(xv)
3957 – 1723

(xvi)
7586 – 6312

(xvii)
8657 – 1435

(xviii)
5569 – 2556

(xix)
9649 – 4535

(xx)
3456 – 1243

(xxi)
2685 – 1173

(xxii)
5867 – 4334

(xxiii)
4735 – 2312

(xiv)
6987 – 4546

4. Subtract the next Regrouping from Tens to Ones Place:

(i)

Th H T O

1 3 4 7

– 2 9

_________________

(ii)

Th H T O

4 7 5 5

– 3 6

_________________

(iii)

Th H T O

8 7 6 4

– 3 7

_________________

(iv)

Th H T O

1 6 7 5

– 4 8

_________________

(v)

Th H T O

3 4 6 2

– 1 6

_________________

(vi)

Th H T O

2 6 7 5

– 2 3 7

_________________

(vii)

Th H T O

7 8 8 7

– 4 6 8

_________________

(viii)

Th H T O

6 5 8 1

– 4 5 9

_________________

(ix)

Th H T O

3 7 8 5

– 3 6 7

_________________

(x)

Th H T O

4 6 5 4

– 1 2 6

_________________

(xi)

Th H T O

7 8 5 4

– 2 4 3 7

_________________

(xii)

Th H T O

9 5 6 1

– 7 3 1 7

_________________

(xiii)

Th H T O

8 8 7 1

– 5 4 5 6

_________________

(xiv)

Th H T O

5 3 2 6

– 2 1 1 7

_________________

(xv)

Th H T O

6 7 8 3

– 3 5 6 7

_________________

(xvi)

Th H T O

3 6 7 4

– 1 2 5 9

_________________

(xvii)

Th H T O

4 5 8 3

– 1 2 1 6

_________________

(xviii)

Th H T O

5 9 8 2

– 4 5 4 6

_________________

(xix)

Th H T O

6 9 8 3

– 3 7 2 9

_________________

(xx)

Th H T O

7 5 6 3

– 6 4 2 8

_________________

(xxi)

Th H T O

9 8 7 6

– 7 6 5 9

_________________

(xxii)

Th H T O

8 9 7 4

– 6 5 2 7

_________________

(xxiii)

Th H T O

7 7 7 7

– 1 2 3 9

_________________

(xxiv)

Th H T O

6 8 9 4

– 4 6 5 7

_________________

(xxv)

Th H T O

5 4 8 2

– 3 2 6 3

_________________

5. Subtract the next Regrouping from Tens to Ones Place:

(i)

Th H T O

3 7 8 5

– 4 7

_________________

(ii)

Th H T O

7 6 4 6

– 2 7

_________________

(iii)

Th H T O

4 5 8 3

– 4 8

_________________

(iv)

Th H T O

6 3 5 2

– 3 5

_________________

(v)

Th H T O

5 2 7 4

– 5 6

_________________

(vi)

Th H T O

2 3 7 6

– 1 5 8

_________________

(vii)

Th H T O

5 6 7 3

– 5 5 7

_________________

(viii)

Th H T O

3 7 7 1

– 5 5 4

_________________

(ix)

Th H T O

8 8 9 2

– 6 7 8

_________________

(x)

Th H T O

9 9 6 5

– 8 3 6

_________________

(xi)

Th H T O

6 6 9 2

– 2 3 7 5

_________________

(xii)

Th H T O

9 8 7 6

– 5 4 3 7

_________________

(xiii)

Th H T O

8 7 6 4

– 5 5 3 7

_________________

(xiv)

Th H T O

7 7 8 7

– 4 5 6 8

_________________

(xv)

Th H T O

4 7 5 3

– 3 6 2 5

_________________

(xvi)

Th H T O

8 8 8 8

– 6 6 6 9

_________________

(xvii)

Th H T O

7 6 5 4

– 5 2 2 8

_________________

(xviii)

Th H T O

5 8 9 1

– 1 5 6 3

_________________

(xix)

Th H T O

4 6 5 2

– 1 2 1 5

_________________

(xx)

Th H T O

9 7 6 6

– 8 3 1 8

_________________

(xxi)

Th H T O

7 6 9 4

– 5 2 7 8

_________________

(xxii)

Th H T O

5 8 8 3

– 2 6 6 9

_________________

(xxiii)

Th H T O

9 7 9 4

– 2 3 7 6

_________________

(xxiv)

Th H T O

6 9 9 3

– 4 7 7 7

_________________

(xxv)

Th H T O

4 6 9 2

– 1 3 8 9

_________________

6. Do these following 4-Digit Subtraction (Regrouping from Tens to Ones Place) Sums in your Pocket book –

(i) 3778 – 1559

(ii) 5973 – 2769

(iii) 9788 – 9549

(iv) 3738 – 1419

(v) 5963 – 2735

(vi) 8746 – 5518

(vii) 5464 – 3245

(viii) 6455 – 2137

(ix) 6375 – 4158

(x) 8793 – 6676

(xi) 2872 – 1557

(xii) 8654 – 6326

(xiii) 5621 – 3212

(xiv) 8457 – 4239

(xv) 9356 – 7128

(xvi) 6562 – 1117

7. Subtract the next Regrouping from Tens and Tons of Place:

(i)

Th H T O

6 9 5 1

– 7 6 8

_________________

(ii)

Th H T O

4 5 5 1

– 3 7 2

_________________

(iii)

Th H T O

3 6 1 1

– 2 6 4

_________________

(iv)

Th H T O

8 9 1 1

– 2 5 3

_________________

(v)

Th H T O

2 7 4 7

– 5 8 9

_________________

(vi)

Th H T O

4 2 2 3

– 1 3 2

_________________

(vii)

Th H T O

3 5 5 4

– 4 6 5

_________________

(viii)

Th H T O

2 6 3 3

– 3 8 5

_________________

(ix)

Th H T O

4 6 1 4

– 4 3 5

_________________

(x)

Th H T O

2 7 5 4

– 2 8 5

_________________

(xi)

Th H T O

2 6 3 4

– 1 4 6 8

_________________

(xii)

Th H T O

7 5 2 6

– 3 2 8 8

_________________

(xi)

Th H T O

3 4 4 7

– 1 2 5 6

_________________

(xii)

Th H T O

5 3 4 1

– 4 2 9 6

_________________

(xiii)

Th H T O

6 6 6 6

– 4 5 7 8

_________________

(xiv)

Th H T O

6 7 6 3

– 5 6 9 8

_________________

(xv)

Th H T O

8 2 5 2

– 4 0 8 4

_________________

(xvi)

Th H T O

7 9 2 6

– 5 1 4 8

_________________

(xv)

Th H T O

9 5 4 7

– 8 3 9 8

_________________

(xvi)

Th H T O

4 3 8 6

– 2 1 9 8

_________________

8. Subtract the next Regrouping from Tens and Tons of Place:

(i)

Th H T O

2 9 4 3

– 6 5

_________________

(ii)

Th H T O

4 8 5 6

– 6 7

_________________

(iii)

Th H T O

5 3 2 1

– 3 4

_________________

(iv)

Th H T O

4 6 3 5

– 4 6

_________________

(v)

Th H T O

2 8 2 5

– 3 7

_________________

(vi)

Th H T O

5 9 4 5

– 4 5 6

_________________

(vii)

Th H T O

6 8 1 4

– 6 2 8

_________________

(viii)

Th H T O

7 6 4 3

– 3 6 5

_________________

(ix)

Th H T O

8 4 3 2

– 1 4 6

_________________

(x)

Th H T O

5 6 2 3

– 4 4 6

_________________

(xi)

Th H T O

7 9 7 2

– 5 7 9 4

_________________

(xii)

Th H T O

8 6 3 1

– 5 3 4 9

_________________

(xiii)

Th H T O

9 7 2 5

– 7 5 3 7

_________________

(xiv)

Th H T O

5 8 5 3

– 2 4 7 6

_________________

(xv)

Th H T O

7 6 3 3

– 5 3 7 6

_________________

(xvi)

Th H T O

9 6 5 6

– 5 3 8 7

_________________

(xvii)

Th H T O

6 5 4 3

– 4 2 5 8

_________________

(xviii)

Th H T O

3 9 1 5

– 1 5 3 7

_________________

(xix)

Th H T O

5 4 2 7

– 3 2 6 9

_________________

(xx)

Th H T O

6 7 4 1

– 4 3 7 9

_________________

(xxi)

Th H T O

8 4 6 5

– 4 2 9 8

_________________

(xxii)

Th H T O

9 6 3 3

– 5 1 4 5

_________________

(xxiii)

Th H T O

6 4 1 3

– 5 2 4 8

_________________

(xxiv)

Th H T O

3 4 2 1

– 1 1 4 5

_________________

(xxv)

Th H T O

5 7 6 4

– 3 5 9 9

_________________

9. Subtract the next Regrouping from Tens and Tons of Place:

(i) 4458 – 3798

(ii) 3452 – 276

(iii) 4450 – 337

(iv)8642 – 6156

(v) 7956 – 3478

(vi) 6953 – 2768

(vii) 4781 – 393

(viii) 6521 – 3443

(ix) 7832 – 6797

(x) 5423 – 2287

(xi) 8352 – 4187

(xii) 4572 – 289

(xiii) 7826 – 4377

(xiv) 7624 – 4356

(xv) 6783 – 2294

(xvi) 9740 – 6681

(xvii) 6345 – 289

(xviii) 1725 – 268

(xix) 6731 – 4482

(xx) 8642 – 6457

10. Subtract the next Regrouping From Tens, Tons of and 1000’s Place:

(i)

Th H T O

2 3 2 5

– 4 3 7

_________________

(ii)

Th H T O

3 2 2 5

– 4 4 7

_________________

(iii)

Th H T O

4 1 1 2

– 4 3 6

_________________

(iv)

Th H T O

5 1 5 7

– 2 6 8

_________________

(v)

Th H T O

6 8 3 4

– 9 8 6

_________________

(vi)

Th H T O

8 6 0 1

– 7 3 8

_________________

(vii)

Th H T O

9 8 5 0

– 8 9 9

_________________

(viii)

Th H T O

1 5 0 6

– 8 5 9

_________________

(ix)

Th H T O

3 5 2 3

– 7 4 6

_________________

(x)

Th H T O

6 5 3 3

– 9 4 4

_________________

(xi)

Th H T O

6 2 8 2

– 3 8 9 5

_________________

(xii)

Th H T O

4 3 2 8

– 2 5 8 9

_________________

(xiii)

Th H T O

9 0 0 2

– 4 6 8 4

_________________

(xiv)

Th H T O

8 3 4 3

– 2 6 8 4

_________________

(xv)

Th H T O

8 4 3 4

– 4 8 4 6

_________________

(xvi)

Th H T O

4 6 8 5

– 3 7 9 6

_________________

(xvii)

Th H T O

6 1 2 3

– 3 2 6 9

_________________

(xviii)

Th H T O

5 3 3 2

– 2 5 9 8

_________________

(xix)

Th H T O

4 0 0 0

– 2 8 9 9

_________________

(xx)

Th H T O

5 2 1 3

– 3 7 8 7

_________________

11. Subtract the next Regrouping From Tens, Tons of and 1000’s Place:

(i)

Th H T O

6 2 8 3

– 7 9 4

_________________

(ii)

Th H T O

5 4 8 8

– 6 9 9

_________________

(iii)

Th H T O

8 6 4 2

– 7 5 4

_________________

(iv)

Th H T O

7 3 5 7

– 8 9 8

_________________

(v)

Th H T O

6 6 4 2

– 7 9 7

_________________

(vi)

Th H T O

7 6 5 6

– 7 6 8

_________________

(vii)

Th H T O

6 5 4 3

– 7 5 4

_________________

(viii)

Th H T O

4 4 7 2

– 6 8 4

_________________

(ix)

Th H T O

4 5 7 6

– 7 8 9

_________________

(x)

Th H T O

2 4 5 2

– 5 8 4

_________________

(xi)

Th H T O

8 7 8 1

– 4 9 9 6

_________________

(xii)

Th H T O

4 3 8 7

– 2 6 9 6

_________________

(xiii)

Th H T O

3 6 7 3

– 1 7 8 6

_________________

(xiv)

Th H T O

2 4 4 2

– 1 6 6 5

_________________

(xv)

Th H T O

6 9 8 8

– 5 9 9 9

_________________

(xvi)

Th H T O

5 4 3 2

– 3 7 8 8

_________________

(xvii)

Th H T O

5 3 4 4

– 1 4 6 6

_________________

(xviii)

Th H T O

2 5 5 4

– 1 9 6 7

_________________

(xix)

Th H T O

4 8 6 2

– 2 9 8 7

_________________

(xx)

Th H T O

8 3 2 1

– 6 6 4 5

_________________

(xxi)

Th H T O

3 8 8 8

– 1 9 9 9

_________________

(xxii)

Th H T O

8 6 5 7

– 5 6 6 8

_________________

(xxiii)

Th H T O

9 3 2 1

– 4 4 4 4

_________________

(xxiv)

Th H T O

7 4 5 6

– 3 7 9 8

_________________

(xxv)

Th H T O

6 4 5 3

– 2 7 6 5

_________________

12. Subtract the next Regrouping From Tens, Tons of and 1000’s Place:

(i) 8452 – 668

(ii) 1725 – 879

(iii) 3452 – 687

(iv) 9675 – 789

(v) 5367 – 989

(vi) 4781 – 893

(vii) 2345 – 567

(viii) 5432 – 3676

(ix) 7546 – 5678

(x) 8658 – 6779

(xi) 9568 – 4679

(xii) 9898 – 4899

(xiii) 7777 – 5888

(xiv) 4213 – 1654

(xv) 4423 – 3566

(xvi) 3214 – 1655

third Grade Math Worksheets

third Grade Math Classes

From Subtraction of 4-Digit Numbers to HOME PAGE

Did not discover what you have been in search of? Or wish to know extra data
about Math Solely Math.
Use this Google Search to seek out what you want.