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

We all know tips on how to add 2 or 3, 3-digit numbers with out carrying
or with carrying. Now we are going to apply the identical technique after we add two 4-digit
numbers (with out carrying and with carrying) and three 4-digit numbers (with out
carrying and with carrying). The numbers that are added are known as addends and
the outcome obtained is known as sum. The principles for addition of 4-digit numbers
with different numbers are the identical as that for the numbers having much less digits.

I. Addition of 4-Digit Numbers With out Carrying:

(i) Add 2431 and 5327

$Addition of 4-Digit Numbers Without Carrying$

Step 1: Organize the quantity in columns of hundreds, a whole bunch tens and ones.

Step 2: Add ones.

Step 3: Then add tens.

Step 4: Then add a whole bunch.

Step 5: Ultimately, add hundreds.

(ii) Add 6132 and 3425.

Including ones

Th H T O

6 1 3 2

+ 3 4 2 5

Including tens

Th H T O

6 1 3 2

+ 3 4 2 5

5 7

Including a whole bunch

Th H T O

6 1 3 2

+ 3 4 2 5

5 5 7

Including hundreds

Th H T O

6 1 3 2

+ 3 4
2 5

9 5 5 7

II. Addition of 4-Digit Numbers With Carrying:

Regrouping Ones –

(i) Add 5347 and 3237

Th H T O

5 3 4 7

+ 3 2 3 7

Including ones:

7 + 7 = 14

14 = 1 ten + 4 ones

write 4 underneath O, carry 1
ten to T.

Th H T O

5 3 4 7

+ 3 2 3 7

8 4

Including tens:

1 + 4 + 3 = 8 Write 8 underneath T

Th H T O

5 3 4 7

+ 3 2 3 7

5 8 4

Including a whole bunch:

3 + 2 = 5 Write 5 underneath H

Th H T O

5 3 4 7

+ 3 2 3 7

8 5 8 4

Including hundreds:

5 + 3 = 8 Write 8 underneath Th

Regrouping Ones and Tens –

(ii) Add 4678 and 3239

Th H T O

4 6 7 8

+ 3 2 3 9

Including Ones:

8 + 9 = 17

17 = 1 ten + 7 ones

write 7 underneath O, carry 1
ten to T.

Th H T O

1 1

4 6 7 8

+ 3 2 3 9

1 7

Including Tens:

1 + 7 + 3 = 11

or 10 tens + 1 tens

or 1 hundred + 1 tens

Write 1 underneath T, carry 1 hundred to H

Th H T O

1 1

4 6 7 8

+ 3 2 3 9

9 1 7

Including A whole lot:

1 + 6 + 2 = 9

Write 9 underneath H

Th H T O

1 1

4 6 7 8

+ 3 2 3 9

7 9 1 7

Including 1000’s:

4 + 3 = 7

Write 7 underneath Th

Regrouping Ones, Tens and A whole lot –

(iii) Add 4967 and 1757

Th H T O

4 9 6 7

+ 1 7 5 7

Including Ones:

7 + 7 = 14

14 = 1 ten + 4 ones

write 4 underneath O, carry 1
ten to T.

Th H T O

1 1

4 9 6 7

+ 1 7 5 7

2 4

Including Tens:

1 + 6 + 5 = 12

or 10 tens + 2 tens

or 1 hundred + 2 tens

Write 2 underneath T, carry 1 hundred to H.

Th H T O

1 1 1

4 9 6 7

+ 1 7 5 7

7 2 4

Including A whole lot:

1 + 9 + 7 = 17

or 10 a whole bunch + 7 a whole bunch

or 1 thousand + 7 a whole bunch

Write 7 underneath H, carry 1 thousand to Th.

Th H T O

1 1 1

4 9 6 7

+ 1 7 5 7

6 7 2 4

Including 1000’s:

1 + 4 + 1= 6

Write 6 underneath Th.

(iv) Add 6376 and 2854

Including ones

6 3
7 6

+ 2 8
5 4

Add ones i.e., 6 + 4 = 10. Write 0 under in ones column and
carrying 1 into the tens column.

Including tens

1 1

6 3
7
6

+ 2 8
5
4

3 0

Add tens i.e., 1 + 7 + 5 = 13. Write 3 under in tens column
and carrying 1 into the a whole bunch column.

Including a whole bunch

1
1

6 3 7
6

+ 2 8 5
4

2
3 0

Add a whole bunch i.e., 1 + 3 + 8 = 12. Write 2 under in a whole bunch
column and carrying 1 into the hundreds column.

Including hundreds

6 3 7
6

+ 2 8 5
4

9 2 3 0

Add hundreds i.e., 1 + 6 + 2 = 9. Write 9 under in
hundreds column.

III. Equally add three 4-digit numbers utilizing the above guidelines
for with out and with carrying.

1. Discover the sum of 5021, 3203 and 1210.

Th H T O

5 0
2 1

3 2
0 3

+ 1 2 1 0

9 4 3 4

Organize the numbers in columns and add column clever.

2. Discover the sum of 2543, 1893 and 2678.

2 2 1

Th H T O

2 5
4 3

1 8
9 3

+ 2 6 7 8

7 1
1 4

Organize the numbers in columns and add column clever.

Questions and Solutions on 4-Digit Addition:

I. Solved the sums: Addition of 4-digit with out Regrouping

(i)	2 3 9 2 + 5 1 0 6 _________	(ii)	4 5 6 7 + 2 3 3 1 __________
(iii)	5 8 2 9 + 2 1 7 0 _________	(iv)	2 3 1 4 + 3 3 7 5
(v)	2 1 5 7 + 3 4 2 1 _________	(vi)	1 4 5 6 + 8 2 3 2
(vii)	3 2 0 3 + 3 7 2 5 _________	(viii)	2 3 1 4 + 2 1 1 + 3 2 3 3 __________
(ix)	4 5 6 3 + 1 3 + 3 4 2 2 _________	(x)	3 4 2 3 + 2 3 2 0 + 2 4 5 __________
(xi)	8 1 2 3 + 5 2 2 + 1 1 2 3 ________	(xii)	2 3 3 3 + 3 3 0 4 + 4 3 5 1 _________
(xiii)	2 1 5 6 + 6 3 2 + 4 1 0 1 _________	(xiv)	4 1 8 6 + 1 4 0 1 + 3 1 2 __________
(xv)	7 5 4 6 + 1 1 2 0 + 1 2 1 2 _________	(xvi)	6 8 3 2 + 1 0 1 4 + 2 1 3 2 _________
(xvii)	5 4 3 2 + 1 2 2 3 + 2 1 2 4 _______	(xviii)	4 1 2 3 + 2 3 2 5 + 2 3 2 1 ________
(xix)	5 2 1 2 + 1 5 2 4 + 1 1 3 2 + 2 1 2 1 ________	(xx)	2 1 2 1 + 1 2 1 2 + 2 1 2 1 + 1 2 1 2 ________
(xxi)	3 3 3 3 + 2 2 2 2 + 1 1 1 1 + 1 0 2 3 _________	(xxii)	7 2 2 1 + 4 4 2 + 3 4 + 2 __________
(xxiii)	5 3 4 3 + 2 1 0 2 + 5 2 3 + 3 1 _________	(xxiv)	3 4 2 1 + 1 1 2 2 + 3 2 2 3 + 2 2 2 3 ________
(xxv)	4 2 2 3 + 3 2 3 1 + 1 2 1 3 + 1 2 1 2 _________

Reply:

I. (i) 7498

(ii) 6898

(iii) 7999

(iv) 5689

(v) 5578

(vi) 9688

(vii) 6928

(viii) 5758

(ix) 7998

(x) 5988

(xi) 9768

(xii) 9988

(xiii) 6889

(xiv) 5899

(xv) 9878

(xvi) 9978

(xvii) 8779

(xviii) 8769

(xix) 9989

(xx) 6666

(xxi) 7689

(xxii) 7699

(xxiii) 7999

(xxiv) 9989

(xxv) 9879

II. Discover the Addition of 4-Digit numbers With out Regrouping:

(i) 4251 + 1231

(ii) 1174 + 2012 + 3413

(iii) 4123 + 1532 + 4332

(iv) 1221 + 2112 + 3221 + 1020

(v) 1000 + 1222 + 3333 + 40

(vi) 3254 + 302 + 3241

(vii) 234 + 413 + 3132

(viii) 3132 + 154 + 4712

(ix) 3246 + 123 + 22 + 240

(x) 2611 + 1240 + 1023 + 22

(xi) 2301 + 2050 + 1432 + 800

(xii) 2115 + 1132 + 4130 + 1620

(xiii) 2113 + 520 + 1233 + 120

(xiv) 2323 + 1204 + 411 + 5000

(xv) 1134 + 320 + 33 + 7412

(xvi) 6321 + 1341 + 202 + 1122

Reply:

II. (i) 5482

(ii) 6599

(iii) 9987

(iv) 7574

(v) 5595

(vi) 6797

(vii) 3779

(viii) 7998

(ix) 3631

(x) 4896

(xi) 6583

(xii) 8997

(xiii) 3986

(xiv) 8938

(xv) 8899

(xvi) 8986

III. Add the next: Addition of 4-digit with Regrouping Ones –

(i)

Th H T O

4 3 2 7

+ 2 3 3 4

_________________

(ii)

Th H T O

3 2 1 9

+ 4 4 3 3

_________________

(iii)

Th H T O

5 6 7 8

+ 2 2 1 8

_________________

(iv)

Th H T O

8 8 4 2

+ 1 1 4 9

_________________

(v)

Th H T O

4 3 2 7

+ 2 2 2 2

+ 2 3 3 4

_________________

(vi)

Th H T O

3 2 1 9

+ 3 2 3 2

+ 3 2 4 2

_________________

(vii)

Th H T O

2 3 5 8

+ 1 6 2 8

+ 4 0 1 2

_________________

(viii)

Th H T O

6 2 0 1

+ 2 3 7 6

+ 1 0 1 9

_________________

(ix)

Th H T O

1 3 2 1

+ 1 3 0 5

+ 1 1 2 6

+ 1 1 1 3

_________________

(x)

Th H T O

2 4 1 2

+ 1 1 1 1

+ 3 2 3 3

+ 3 2 2 8

_________________

(xi)

Th H T O

1 2 3 4

+ 4 3 2 1

+ 1 0 0 3

+ 1 2 3 4

_________________

(xii)

Th H T O

5 2 1 1

+ 1 0 2 6

+ 2 4 3 4

+ 1 2 2 5

_________________

(xiv)

Th H T O

3 4 2 7

+ 1 1 3 5

+ 2 2 0 4

+ 3 1 3 3

_________________

(xv)

Th H T O

2 3 3 2

+ 2 0 1 6

+ 2 3 2 8

+ 2 2 1 3

_________________

Reply:

III.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

(xiii)

(xiv)

(xv)

IV: Discover the
Addition with Regrouping Ones – in your Pocket book:

(i) 2231 +
4239 + 3 + 20

(ii) 4208 +
3012 + 2011 + 0010

(iii) 5217
+ 14 + 62 + 102

(iv) 6224 +
45 + 6 + 1120

(v) 8337 +
1234 + 2 + 0

(vi) 3109 +
45 + 1132 + 0004

(vii) 2153
+ 4218 + 1 + 320

(viii) 1234
+ 26 +3213 + 3211

Reply:

IV. (i) 6493

(ii) 9241

(iii) 5395

(iv) 7395

(v) 9573

(vi) 4290

(vii) 6692

(viii) 7684

V. Add the next: Addition of 4-Digit with Regrouping Ones and Tens –

(i)

Th H T O

1 2 4 5

+ 3 2 6 6

_________________

(ii)

Th H T O

2 1 3 6

+ 3 5 7 7

_________________

(iii)

Th H T O

1 2 2 9

+ 5 2 8 6

_________________

(iv)

Th H T O

5 6 7 1

+ 4 2 8 9

_________________

(v)

Th H T O

4 3 5 5

+ 1 2 6 4

+ 2 1 8 5

_________________

(vi)

Th H T O

3 3 1 7

+ 1 2 8 4

+ 3 2 5 2

_________________

(vii)

Th H T O

1 3 2 6

+ 2 0 5 9

+ 1 5 3 3

_________________

(viii)

Th H T O

5 3 2 8

+ 1 4 3 1

+ 2 1 9 5

_________________

(ix)

Th H T O

1 4 5 3

+ 2 3 4

+ 4 2

+ 3

_________________

(x)

Th H T O

2 3 3 6

+ 1 6 3

+ 5 5

+ 2

_________________

(xi)

Th H T O

6 2 4 9

+ 1 5 0

+ 4 2

+ 3

_________________

(xii)

Th H T O

8 3 1 5

+ 2 3 6

+ 9 2

+ 3

_________________

(xiii)

Th H T O

2 4 6 7

+ 2 3 4 5

+ 1 0 2

+ 5 4

_________________

(xiv)

Th H T O

5 2 5 6

+ 2 4 3 4

+ 2 2 3

+ 6 4

_________________

(xv)

Th H T O

3 4 7 3

+ 3 2 2 4

+ 2 4 5

+ 3 6

_________________

(xvi)

Th H T O

7 1 2 7

+ 2 4 3 2

+ 2 3 4

+ 6 6

_________________

(xvii)

Th H T O

2 3 5 1

+ 1 0 6 5

+ 2 2 3 2

+ 2 4 8

_________________

(xviii)

Th H T O

5 1 3 7

+ 2 5 6

+ 2 3 5 1

+ 1 2 2 3

_________________

(xix)

Th H T O

4 1 5 6

+ 1 3 2 6

+ 1 4 0

+ 2 2 7 2

_________________

(xx)

Th H T O

3 5 6 2

+ 2 1 6 6

+ 0 3 3

+ 4 2 2 5

_________________

Reply:

VI: Do these 4-Digit Addition with Regrouping Ones and Tens – Sums in your Pocket book:

(i) 3472 +
2468

(ii) 1468 +
3458

(iii) 3457
+ 2358

(iv) 3437 +
2186

(v) 5086 +
1234 + 1270

(vi) 1635 +
3040 + 2256

(vii) 4238
+ 2438 + 1253

(viii) 5188
+ 2104 + 1386

(ix) 1245 +
5245 + 2243 + 1245

(x) 2128 +
2042 + 2341 + 2468

(xi) 5245 +
1356 + 2063 + 1025

(xii) 1274
+ 2239 + 1143 + 1243

Reply:

VI:

VII. Add the next: Addition of 4-Digit with Regrouping Ones, Tens and A whole lot –

(i)

Th H T O

5 7 6 4

+ 2 6 4 9

_________________

(ii)

Th H T O

7 8 3 6

+ 1 4 9 9

_________________

(iii)

Th H T O

6 3 8 9

+ 2 8 7 7

_________________

(iv)

Th H T O

4 5 3 6

+ 2 6 8 7

_________________

(v)

Th H T O

4 6 7 8

+ 3 9 8 9

_________________

(vi)

Th H T O

2 4 6 8

+ 2 5 8 9

_________________

(vii)

Th H T O

3 2 8 2

+ 2 8 8 8

_________________

(viii)

Th H T O

4 3 7 8

+ 3 7 6 4

_________________

(ix)

Th H T O

5 8 6 7

+ 3 6 5 4

_________________

(x)

Th H T O

6 2 9 7

+ 2 9 4 6

_________________

(xi)

Th H T O

5 9 8 9

+ 2 3 6 4

_________________

(xii)

Th H T O

2 9 6 7

+ 5 4 6 9

_________________

(xiii)

Th H T O

3 7 5 7

+ 4 4 5 5

_________________

(xiv)

Th H T O

2 4 6 2

+ 3 7 8 9

_________________

(xv)

Th H T O

3 9 2 2

+ 2 5 5

+ 2 5

_________________

(xvi)

Th H T O

4 7 3 6

+ 3 2 4

+ 6 2

_________________

(xvii)

Th H T O

5 3 8 9

+ 8 2 5

+ 5 4

_________________

(xviii)

Th H T O

6 2 5 7

+ 9 4 7

+ 6 3`

_________________

(xix)

Th H T O

2 3 1 7

+ 2 6 7 4

+ 2 4 3

_________________

(xx)

Th H T O

1 6 7 8

+ 6 2 4 4

+ 5 7 5

_________________

(xxi)

Th H T O

1 9 3 6

+ 6 5 0 7

+ 3 8 5

_________________

(xxii)

Th H T O

2 4 5 8

+ 3 3 6 8

+ 4 5 2

_________________

(xxiii)

Th H T O

1 9 8 0

+ 2 0 5 5

+ 4 8 5 7

_________________

(xxiv)

Th H T O

2 8 7 5

+ 3 0 4 0

+ 1 9 3 5

_________________

(xxv)

Th H T O

1 6 8 0

+ 3 0 7 1

+ 2 8 2 9

_________________

(xxvi)

Th H T O

3 6 9 6

+ 1 4 8 6

+ 2 3 0 0

_________________

(xxvii)

Th H T O

1 3 5 4

+ 1 2 4 3

+ 3 4 4 3

+ 2 3 2 5

_________________

(xxviii)

Th H T O

2 5 6 4

+ 1 2 3 4

+ 1 0 2 4

+ 3 7 3 4

_________________

(xxviii)

Th H T O

2 4 3 6

+ 1 1 2 5

+ 1 3 4 4

+ 2 5 1 3

_________________

(xxx)

Th H T O

2 0 5 7

+ 2 7 4 0

+ 2 3 0 6

+ 1 4 7 5

_________________

Reply:

VII:

VIII: Do these 4-Digit Addition with Regrouping Ones, Tens and A whole lot – sums in your Pocket book:

(i) 6234 +
122 + 733 + 14

(ii) 5537 +
221 + 632 + 12

(iii) 7189
+ 1234 + 567 + 64

(iv) 2764 +
6549 + 23 + 5

IX. Add the next 4-Digit Numbers With and With out Regrouping:

(i) 8 5 3 2

+
1 3 4 6

_________

(ii) 5 1 4 2

+ 1 2 0 3

+ 2 6 3 1

__________

(iii) 2222
+ 2222 + 2222 + 2222

(iv) 4926 +
5066

(v) 6523 +
1254 + 216

(vi) 3333 +
123 + 2113 + 2123

(vii) 6475
+ 3328

(viii) 5636
+ 154 + 2136

(ix) 4234 +
2234 + 2243 + 243

(x) 3547 +
2767

(xi) 7846 +
268 + 432

(xii) 5235
+ 454 + 1234 + 2443

Solutions:

IX. (i) 9878

(ii) 8976

(iii) 8888

(iv) 9992

(v) 7993

(vi) 7692

(vii) 9803

(viii) 7926

(ix) 8954

(x) 6314

(xi) 8546

(xii) 9366

X. Resolve these 4-digit sums in your pocket book:

(i) 2335 +
132

(ii) 2617 +
5250

(iii) 3624
+ 5342

(iv) 2539 +
3270

(v) 1660 +
3282

(vi) 4771 +
2171

(vii) 3757
+ 4455 + 2163

(viii) 3642
+ 1212 + 2123

(ix) 2315 +
2222 + 2461

(x) 6352 +
221 + 23 + 388

(xi) 3214 +
2441 + 2223

(xii) 2315
+ 2313 + 231

Reply:

X. (i) 2467

(ii) 7867

(iii) 8966

(iv) 5809

(v) 4942

(vi) 6942

(vii) 10375

(viii) 6977

(ix) 6998

(x) 6984

(xi) 7878

(xii) 4859

XI. Tick the right choices:

(i) The sum
of 1456 + 1232 is –

(a) 5986

(b) 2688

(d) 8910

(ii) The
sum of 7324 + 1456 is –

(a) 7556

(b) 3504

(d) 8780

(iii) The
sum of 1270 + 1234 + 5086 is –

(a) 7590

(b) 3814

(d) 3172

(iv) The
sum of 1421 + 612 + 2131 + 2256 is –

(a) 8045

(b) 5218

(d) 5991

Reply

XI. (i) (b) 2688

(ii) (d) 8780

(iii) (a) 7590

(iv) (c) 6420

XII. Resolve these 4-digit Addition Phrase Issues in your Word Guide.

1. A
firm bought 4272 automobiles in January and 3517 automobiles in February. What number of automobiles did
the corporate promote in these months?

2. Ron
purchased bicycle for $ 2615 and tv for $7138. How a lot did he spend?

3. A e book
comprises 1198 pages and e book comprises 1374 pages. What number of pages do each books
comprise altogether?

4. Ron
earned $2583 in December, $3776 in January and $3456 in February. How a lot did
he earn in these months?

5. In
March, a cell retailer bought 3693 contact display screen, 4379 qwerty pad, 587 slider and
1168 sensible telephones. Discover the overall telephones bought in March.

Reply:

XII. 1. 7789

2. 9753

3. 2572

4. 9815

5. 9827

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