We are going to be taught in regards to the addition of 4-digit numbers (with out
carrying and with carrying).
We all know how one can add 2 or 3, 3-digit numbers with out carrying
or with carrying. Now we’ll apply the identical technique once 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 foundations 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
Step 1: Prepare the quantity in columns of hundreds, lots of tens and ones.
Step 2: Add ones.
Step 3: Then add tens.
Step 4: Then add lots of.
Step 5: Finally, add hundreds.
(ii) Add 6132 and 3425.
Including ones
  Th  H  T  O
   6   1  3   2
+Â 3Â Â 4Â Â 2Â Â Â 5
          7
Including tens
 Th  H  T  O
 6   1  3  2
+ 3Â Â 4Â Â 2Â Â 5
       5  7
Including lots of
 Th  H  T  O
 6   1  3  2
+ 3Â Â 4Â Â 2Â Â 5
     5  5  7
Including hundreds
 Th  H  T  O
  6  1  3  2
+ 3Â Â 4Â Â
2Â Â 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 |
Including ones: 7 + 7 = 14 14 = 1 ten + 4 ones write 4 below O, carry 1 |
|
      Th   H   T   O               1       5   3   4   7    +   3   2   3   7               8   4 |
Including tens: 1 + 4 + 3 = 8 Write 8 below T |
|
      Th   H   T   O               1       5   3   4   7    +   3   2   3   7            5  8   4 |
Including lots of: 3 + 2 = 5 Write 5 below H |
|
      Th   H   T   O               1       5   3   4   7    +   3   2   3   7        8   5  8   4 |
Including hundreds: 5 + 3 = 8 Write 8 below Th |
Regrouping Ones and Tens –
(ii) Add 4678 and 3239
|
      Th   H   T   O               1       4   6   7   8    +   3   2   3   9                   7 |
Including Ones: 8 + 9 = 17 17 = 1 ten + 7 ones write 7 below O, carry 1 |
|
      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 below 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 bunch: 1 + 6 + 2 = 9 Write 9 below H |
|
      Th   H   T   O           1    1       4   6   7   8    +   3   2   3   9       7   9   1   7 |
Including Hundreds: 4 + 3 = 7 Write 7 below Th |
Regrouping Ones, Tens and A whole bunch –
(iii) Add 4967 and 1757
|
      Th   H   T   O               1       4   9   6   7    +   1   7   5   7                   4 |
Including Ones: 7 + 7 = 14 14 = 1 ten + 4 ones write 4 below O, carry 1 |
|
      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 below 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 bunch: 1 + 9 + 7 = 17 or 10 lots of + 7 lots of or 1 thousand + 7 lots of Write 7 below 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 Hundreds: 1 + 4 + 1= 6 Write 6 below Th. |
(iv) Add 6376 and 2854
|
Including ones            1      6    3    +   2    8                  0 |
Add ones i.e., 6 + 4 = 10. Write 0 under in ones column and |
|
Including tens             1    1      6    3    +   2    8              3    0 |
Add tens i.e., 1 + 7 + 5 = 13. Write 3 under in tens column |
|
Including lots of      1       6    3    7    +   2    8    5           2    |
Add lots of i.e., 1 + 3 + 8 = 12. Write 2 under in lots of |
|
Including hundreds      1          6    3    7    +   2    8    5         9    2    3    0 |
Add hundreds i.e., 1 + 6 + 2 = 9. Write 9 under in |
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    3   2  + 1   2  1  0   9  4  3  4 |
Prepare the numbers in columns and add column smart. |
|
2. Discover the sum of 2543, 1893 and 2678.   2    2   1  Th  H  T  O   2   5    1   8  + 2   6  7  8   7   1  |
Prepare the numbers in columns and add column smart. |
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)Â 7498
(ii)Â 6898
(iii)Â 7999
(iv)Â 5689
(v)Â 5578
(vi)Â 9688
(vii)Â 6928
(viii)Â 5758
(ix)Â 7998
(x)Â 5988
(xi)Â 9768
(xii)Â 9988
(xiii)Â 6889
(xiv)Â 5899
(xv)Â 9878
(xvi)Â 9978
(xvii)Â 8779
(xviii)Â 8769
(xix)Â 9989
(xx)Â 6666
(xxi)Â 7689
(xxii)Â 7699
(xxiii)Â 7999
(xxiv)Â 9989
(xxv)Â 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)Â 6599
(iii)Â 9987
(iv)Â 7574
(v)Â 5595
(vi)Â 6797
(vii)Â 3779
(viii)Â 7998
(ix)Â 3631
(x)Â 4896
(xi)Â 6583
(xii)Â 8997
(xiii)Â 3986
(xiv)Â 8938
(xv)Â 8899
(xvi)Â 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)Â
(ii)Â
(iii)Â
(iv)Â
(v)Â
(vi)Â
(vii)Â
(viii)Â
(ix)Â
(x)Â
(xi)Â
(xii)Â
(xiii)Â
(xiv)Â
(xv)Â
IV: Discover the
Addition with Regrouping Ones – in your Pocket book:Â
(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:
V:Â
VI: Do these 4-Digit Addition with Regrouping Ones and Tens – Sums  in your Pocket book:Â
(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:Â
VII. Add the next: Addition of 4-Digit with Regrouping Ones, Tens and A whole bunch –
|
(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:Â
VIII: Do these 4-Digit Addition with Regrouping Ones, Tens and A whole bunch –Â sums in your Pocket book:Â
(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)Â Â Â Â Â Â Â 8 5 3 2
       +
1 3 4 6
      _________
(ii)Â Â Â Â Â Â 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)Â 8966
(iv)Â 5809
(v)Â 4942
(vi)Â 6942
(vii)Â 10375
(viii)Â 6977
(ix)Â 6998
(x)Â 6984
(xi)Â 7878
(xii)Â 4859
XI. Tick the right choices:
(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
Reply
XI. (i) (b) 2688
(ii) (d) 8780
(iii) (a) 7590
(iv) (c) 6420
XII. Resolve these 4-digit Addition Phrase Issues in your Be aware E book.
1. A
firm offered 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 ebook
incorporates 1198 pages and ebook incorporates 1374 pages. What number of pages do each books
include 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 cellular retailer offered 3693 contact display screen, 4379 qwerty pad, 587 slider and
1168 sensible telephones. Discover the whole telephones offered in March.
Reply:
XII. 1. 7789
2. 9753
3. 2572
4. 9815
5. 9827
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