Addition of 4-Digit Numbers
We will learn about the addition of 4-digit numbers (without carrying and with carrying).
We know how to add 2 or 3, 3-digit numbers without carrying or with carrying. Now we will apply the same method when we add two 4-digit numbers (without carrying and with carrying) and three 4-digit numbers (without carrying and with carrying). The numbers which are added are called addends and the result obtained is called sum. The rules for addition of 4-digit numbers with other numbers are the same as that for the numbers having less digits.
I. Addition of 4-Digit Numbers Without Carrying:
(i) Add 2431 and 5327
Step 1: Arrange the number in columns of thousands, hundreds tens and ones.
Step 2: Add ones.
Step 3: Then add tens.
Step 4: Then add hundreds.
Step 5: At last, add thousands.
(ii) Add 6132 and 3425.
Adding ones
Th H T O
6 1 3 2
+ 3 4 2 5
7
Adding tens
Th H T O
6 1 3 2
+ 3 4 2 5
5 7
Adding hundreds
Th H T O
6 1 3 2
+ 3 4 2 5
5 5 7
Adding thousands
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 1 5 3 4 7 + 3 2 3 7 4 |
Adding ones: 7 + 7 = 14 14 = 1 ten + 4 ones write 4 under O, carry 1 ten to T. |
|
Th H T O 1 5 3 4 7 + 3 2 3 7 8 4 |
Adding tens: 1 + 4 + 3 = 8 Write 8 under T |
|
Th H T O 1 5 3 4 7 + 3 2 3 7 5 8 4 |
Adding hundreds: 3 + 2 = 5 Write 5 under H |
|
Th H T O 1 5 3 4 7 + 3 2 3 7 8 5 8 4 |
Adding thousands: 5 + 3 = 8 Write 8 under Th |
Regrouping Ones and Tens -
(ii) Add 4678 and 3239
|
Th H T O 1 4 6 7 8 + 3 2 3 9 7 |
Adding Ones: 8 + 9 = 17 17 = 1 ten + 7 ones write 7 under O, carry 1 ten to T. |
|
Th H T O 1 1 4 6 7 8 + 3 2 3 9 1 7 |
Adding Tens: 1 + 7 + 3 = 11 or 10 tens + 1 tens or 1 hundred + 1 tens Write 1 under T, carry 1 hundred to H |
|
Th H T O 1 1 4 6 7 8 + 3 2 3 9 9 1 7 |
Adding Hundreds: 1 + 6 + 2 = 9 Write 9 under H |
|
Th H T O 1 1 4 6 7 8 + 3 2 3 9 7 9 1 7 |
Adding Thousands: 4 + 3 = 7 Write 7 under Th |
Regrouping Ones, Tens and Hundreds -
(iii) Add 4967 and 1757
|
Th H T O 1 4 9 6 7 + 1 7 5 7 4 |
Adding Ones: 7 + 7 = 14 14 = 1 ten + 4 ones write 4 under O, carry 1 ten to T. |
|
Th H T O 1 1 4 9 6 7 + 1 7 5 7 2 4 |
Adding Tens: 1 + 6 + 5 = 12 or 10 tens + 2 tens or 1 hundred + 2 tens Write 2 under T, carry 1 hundred to H. |
|
Th H T O 1 1 1 4 9 6 7 + 1 7 5 7 7 2 4 |
Adding Hundreds: 1 + 9 + 7 = 17 or 10 hundreds + 7 hundreds or 1 thousand + 7 hundreds Write 7 under 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 |
Adding Thousands: 1 + 4 + 1= 6 Write 6 under Th. |
(iv) Add 6376 and 2854
|
Adding ones
1
6 3 7 6 + 2 8 5 4 0 |
Add ones i.e., 6 + 4 = 10. Write 0 below in ones column and carrying 1 into the tens column. |
|
Adding tens
1 1
6 3 7 6 + 2 8 5 4 3 0 |
Add tens i.e., 1 + 7 + 5 = 13. Write 3 below in tens column and carrying 1 into the hundreds column. |
|
Adding hundreds
1 1
6 3 7 6 + 2 8 5 4 2 3 0 |
Add hundreds i.e., 1 + 3 + 8 = 12. Write 2 below in hundreds column and carrying 1 into the thousands column. |
|
Adding thousands 1
6 3 7 6 + 2 8 5 4 9 2 3 0 |
Add thousands i.e., 1 + 6 + 2 = 9. Write 9 below in thousands column. |
III. Similarly add three 4-digit numbers using the above rules for without and with carrying.
|
1. Find 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 |
Arrange the numbers in columns and add column wise. |
|
2. Find 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 |
Arrange the numbers in columns and add column wise. |
Questions and Answers on 4-Digit Addition:
I. Solved the sums: Addition of 4-digit without 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 _________ |
Answer:
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. Find the Addition of 4-Digit numbers Without 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
Answer:
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 following: 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 _________________ |
Answer:
III.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
(xii)
(xiii)
(xiv)
(xv)
IV: Find the Addition with Regrouping Ones - in your Notebook:
(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
Answer:
IV. (i) 6493
(ii) 9241
(iii) 5395
(iv) 7395
(v) 9573
(vi) 4290
(vii) 6692
(viii) 7684
V. Add the following: 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 _________________ |
Answer:
V:
VI: Do these 4-Digit Addition with Regrouping Ones and Tens - Sums in your Notebook:
(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
Answer:
VI:
VII. Add the following: Addition of 4-Digit with Regrouping Ones, Tens and Hundreds -
|
(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 _________________ |
Answer:
VII:
VIII: Do these 4-Digit Addition with Regrouping Ones, Tens and Hundreds - sums in your Notebook:
(i) 6234 + 122 + 733 + 14
(ii) 5537 + 221 + 632 + 12
(iii) 7189 + 1234 + 567 + 64
(iv) 2764 + 6549 + 23 + 5
IX. Add the following 4-Digit Numbers With and Without 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
Answers:
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. Solve these 4-digit sums in your notebook:
(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
Answer:
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 correct options:
(i) The sum of 1456 + 1232 is -
(a) 5986
(b) 2688
(c) 2385
(d) 8910
(ii) The sum of 7324 + 1456 is -
(a) 7556
(b) 3504
(c) 7084
(d) 8780
(iii) The sum of 1270 + 1234 + 5086 is -
(a) 7590
(b) 3814
(c) 9608
(d) 3172
(iv) The sum of 1421 + 612 + 2131 + 2256 is -
(a) 8045
(b) 5218
(c) 6420
(d) 5991
Answer
XI. (i) (b) 2688
(ii) (d) 8780
(iii) (a) 7590
(iv) (c) 6420
XII. Solve these 4-digit Addition Word Problems in your Note Book.
1. A company sold 4272 cars in January and 3517 cars in February. How many cars did the company sell in these months?
2. Ron bought bicycle for $ 2615 and television for $7138. How much did he spend?
3. A book contains 1198 pages and book contains 1374 pages. How many pages do both books contain altogether?
4. Ron earned $2583 in December, $3776 in January and $3456 in February. How much did he earn in these months?
5. In March, a mobile store sold 3693 touch screen, 4379 qwerty pad, 587 slider and 1168 smart phones. Find the total phones sold in March.
Answer:
XII. 1. 7789
2. 9753
3. 2572
4. 9815
5. 9827
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