Subtraction of 4-Digit Numbers | Subtract Numbers with 4 Digit

We’ll study 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 outcome obtained known as the distinction. The larger quantity known as the minuend
and the smaller quantity known as the subtrahend. We use subtraction after we
take away, evaluate, to search out out what doesn’t belong to a bunch.

The foundations of subtraction stay the identical as for the quantity
having much less digits. We first write the larger quantity on the high. Then subtract
the digits column-wise ones from ones, tens from tens, lots of from lots of, 1000’s
from 1000’s and so forth.

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

Think about among the following
examples.

1. Subtract 3276 from 5896.

Resolution:

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

Th H T O

5 8 9 6

– 3 2 7 6

2 6 2 0

Subtract 1000’s i.e., 5 – 3 = 2 and write down 2 in 1000’s
column.

So the distinction between 5896 and 3276 is 2620.

3. Subtract 2435 from 6769.

Resolution:

$4-Digit Subtraction without Borrowing$

Step I: Prepare the quantity in coloumn of 1000’s, lots of, tens and ones.

Step II: Subtract ones.

Step III: Subtract tens.

Step IV: Subtract lots of.

Step V: Subtract 1000’s.

4. Subtract 3573 from 7998.

Resolution:

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 doable

Regrouping 1 ten as 10 ones

Borrow 1 ten make 18

Then 18 – 9 = 9

Write 9 beneath 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 got 5 tens write 5 in tens place as a substitute of 6

5 – 3 = 2

Write 2 beneath T.

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

Subtraction with Regrouping:

Regrouping From Tens and Lots 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 doable

Regrouping 1 ten as 10 ones

Borrow 1 ten make 15

Then 15 – 9 = 6

Write 9 beneath 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 got 6 tens

6 – 8 shouldn’t be doable.

Regrouping 1 hundred as 10 tens borrow 1 hundred make 16

Then 16 – 8 = 8

Write 8 beneath T.

Th H T O

5 6 15

8 6 7 5

– 6 2 8 9

3 8 6

Subtracting Lots of:

As a substitute of 6 lots of, we’ve got 5 lots of

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

Then 5 – 2 = 3

Write 3 beneath H.

Th H T O

5 16

5 6 15

8 6 7 5

– 6 2 8 9

2 3 8 6

Subtracting Hundreds:

8 – 6 = 2

Write 2 beneath Th.

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

Subtraction with Regrouping:

Regrouping From Tens, Lots of and Hundreds 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 doable

Regrouping 1 ten as 10 ones

Borrow 1 ten make 15

Then 15 – 7 = 8

Write 8 beneath 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 got 1 tens

1 – 3 shouldn’t be doable.

Regrouping 1 hundred as 10 tens borrow 1 hundred make 11

Then 11 – 3 = 8

Write 8 beneath T.

Th H T O

17 11

5 7 1 15

6 8 2 5

– 3 8 3 7

9 8 8

Subtracting Lots of:

As a substitute of 8 lots of, we’ve got 7 lots of

7 – 8 shouldn’t be doable.

Regroup 1 thousand as 10 hundred

Borrow 1 thousand make 17

Then 17 – 8 = 9

Write 9 beneath H.

Th H T O

17 11

5 7 1 15

6 8 2 5

– 3 8 3 7

2 9 8 8

Subtracting Hundreds:

As a substitute of 6 1000’s, we’ve got 5 lots of

5 – 3 = 2

Write 2 beneath Th.

Think about the next instance.

2. Subtract 7864 from 9643.

Resolution:

Th H T O

3 13

9 6 4 3

– 7 8 6 4

Subtract Ones: We can’t subtract 4 ones from 3 ones. So, we
borrow 1 ten (1 ten and three ones develop into 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’t subtract 6 tens from 3 tens. So, we
once more borrow 1 hundred (1 hundred and three tens develop into 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 Lots of: We can’t subtract 8 lots of from 5
lots of. So, we once more borrow 1 thousand (1 thousand and 5 lots of develop into 15 lots of).
Now 15 lots of – 8 lots of = 7 lots of. Write 7 in lots of place.

Th H T O

9 6 4 3

– 7 8 6 4

1 7 7 9

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

So, the distinction between 9643 and 7864 is 1779.

Questions and Solutions on Subtraction of 4-Digit Numbers:

1. Clear up 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. Clear up 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 Lots 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

_________________

5. Subtract the next Regrouping from Tens and Lots 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 59

_________________

(xxv)

Th H T O

5 7 6 4

– 3 5 9 9

_________________

8. Subtract the next Regrouping from Tens and Lots 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

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