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We will learn adding 4-digit numbers without regrouping.
We first arrange the numbers one below the other in place
value columns and then add the digits under each column as shown in the
following examples.
Solved Examples on Adding 4-digit Numbers without Regrouping:
1. Add 1547 and 5231.
Solution:
|
Step I: Add the ones. 7 + 1 = 8. Write 8 in ones column. Step II: Add the tens. 4 + 3 = 7. Write 7 in tens column. Step III: Add the hundreds. 5 + 2 = 7. Write 7 in hundreds column. Step IV: Add the thousands. 5 + 1 = 6. Write 6 in thousands column. |
 Hence, 1547 + 5231 = 6778 |
2. Add 2160, 1527 and 3112.
Solution:
|
Step I: Add the ones. 0 + 7 + 2 = 9. Write 9 in ones column. Step II: Add the tens. 6 + 2 + 1 = 9. Write 9 in tens column. Step III: Add the hundreds. 1 + 5 + 1 = 7. Write 7 in hundreds column. Step IV: Add the thousands. 2 + 1 + 3 = 6. Write 6 in thousands column. |
 Hence, 2160 + 1527 + 3112 = 6799 |
3. Add 2,032 and 2,735.
Solution:
Step I: Arrange the numbers in columns.
|
Th |
H |
T |
O |
||
|
2 |
0 |
3 |
2 |
||
|
+ |
2 |
7 |
3 |
5 |
Step II: Adding ones, we have
|
Th |
H |
T |
O |
||
|
2 |
0 |
3 |
2 |
||
|
+ |
2 |
7 |
3 |
5 |
Step III: Adding tens, we have
|
Th |
H |
T |
O |
||
|
2 |
0 |
3 |
2 |
||
|
+ |
2 |
7 |
3 |
5 |
Step IV:. Adding hundreds, we have
|
Th |
H |
T |
O |
||
|
2 |
0 |
3 |
2 |
||
|
+ |
2 |
7 |
3 |
5 |
Step V: Adding thousands, we have
|
Th |
H |
T |
O |
||
|
2 |
0 |
3 |
2 |
||
|
+ |
2 |
7 |
3 |
5 |
Hence, 2032 + 2735 = 4767
(Four thousand, seven hundred sixty-seven)
4. Add 6520, 2024 and 1242
Solution:
Step I: Arrange the numbers in columns
|
Th |
H |
T |
O |
||
|
6 |
5 |
2 |
0 |
||
|
2 |
0 |
2 |
4 |
||
|
+ |
1 |
2 |
4 |
2 |
Step II: Adding ones, we have
|
Th |
H |
T |
O |
||
|
6 |
5 |
2 |
0 |
||
|
2 |
0 |
2 |
4 |
||
|
+ |
1 |
2 |
4 |
2 |
Step III: Adding tens, we have:
|
Th |
H |
T |
O |
||
|
6 |
5 |
2 |
0 |
||
|
2 |
0 |
2 |
4 |
||
|
+ |
1 |
2 |
4 |
2 |
Step IV: Adding hundreds, we have:
|
Th |
H |
T |
O |
||
|
6 |
5 |
2 |
0 |
||
|
2 |
0 |
2 |
4 |
||
|
+ |
1 |
2 |
4 |
2 |
Step V: Adding thousands, we have:
|
Th |
H |
T |
O |
||
|
6 |
5 |
2 |
0 |
||
|
2 |
0 |
2 |
4 |
||
|
+ |
1 |
2 |
4 |
2 |
Hence, 6520 + 2024 + 1242 = 9786
Answer: 9786 (Nine thousand, seven hundred eighty-six)
5. Add without Regrouping: 1234 + 3211 + 342
Solution:
Add ones, then tens, then hundreds and last thousands
Thus, 1234 + 3211 + 342 = 4787
Worksheet on Adding 4-digit Numbers without Regrouping:
I. Add the given numbers:
(i) 2371 and 5407
(ii) 5228 and 3371
(iii) 1660, 2308 and 4021
(iv) 4554 and 5445
(v) 8962 and 1035
(vi) 2015, 3160 and 3521
(vii) 3816 and 5162
(viii) 2255 and 5424
(ix) 3005, 2182 and 4411
(x) 1825 and 7111
(xi) 2346, 3402 and 3131
(xii) 5109, 2240 and 1400
Answers:
(i) 7778
(ii) 8599
(iii) 7989
(iv) 9999
(v) 9997
(vi) 8696
(vii) 8978
(viii) 7679
(ix) 9598
(x) 8936
(xi) 8879
(xii) 8749
II. Add horizontally:
(i) 38 + 21
(ii) 215 + 134
(iii) 621 + 111
(iv) 480 + 419
(v) 430 + 1405
(vi) 2362 + 4527
(vii) 3700 + 1291
(viii) 5672 + 4327
(ix) 4009 + 1080
Answers:
II. (i) 59
(ii) 349
(iii) 732
(iv) 899
(v) 1835
(vi) 6889
(vii) 4991
(viii) 9999
(ix) 5089
III. Given below is the number of people visiting the
‘Shopping Mall’ in a week. Observe the data and answer the following questions.
|
Days |
Number of people Visiting the Fair |
|
Monday Tuesday Wednesday Thursday Friday Saturday Sunday |
5,430 5,430 1,225 3,219 3,900 8,566 7,640 |
(i) On which day there are maximum numbers of visitors?
(ii) On which two days, the number of visitors visiting the ‘Shopping Mall’ is same?
(iii) How many visitors visited the mall on Monday and Wednesday?
(iv) There were more visitors on Tuesday or Sunday?
(v) On which day there was least numbers of visitors?
(vi) There were less visitors on Thursday or Friday?
Answers:
(i) Saturday
(ii) Monday and Tuesday
(iii) 6655
(iv) Sunday
(v) Wednesday
(vi) Thursday
IV. Find the sum of smallest and largest 4-digit number.
Answer:
10999
V. Using the digits 2, 7, 0, 5 form the largest and the smallest numbers then find their sum.
Answer:
7520; 2057; 9577
VI. In a school function 2480 students participated in a dance and 1304 students in drama. How many total students participated in the function?
Answer:
3784
VII. Balance these equations:
(i) 12 + ………… = 20 + 22
(ii) 11 + 15 = 14 + …………
(iii) 39 + ………… = 30 + 22
(iv) ………… + 45 = 56 + 20
(v) 61 + 24 = ………… + 44
Answers:
(i) 30
(ii) 12
(iii) 13
(iv) 31
(v) 41
VIII. Decode and add. Write the answer in words.
(i) Three thousand, five hundred thirty-three + Five thousand, twenty-one.
(ii) Six thousand, eighteen + Three thousand, six hundred forty
(iii) Two thousand, three hundred twelve + Seven thousand, four hundred thirty-six.
(iv) Nine thousand + eight hundred ninety-nine
(v) Four thousand, seven hundred seventy-seven + Three thousand, two hundred eleven
Answers:
(i) Eight thousand, five hundred fifty-four
(ii) Nine thousand six hundred fifty-eight
(iii) Nine thousand, seven hundred forty-eight
(iv) Nine thousand eight hundred ninety-nine
(v) Seven thousand nine hundred eighty-eight
IX. Fill in the given blanks:
(i) The successor of 7697 is ……………
(ii) 1000 more than 8967 is ……………
(iii) When 200 is added to 2687 we get ……………
(iv) When we add 2300 to 4598 we get ……………
(v) If we add 20 and 600 to 3246, we get ……………
(vi) …………… + 499 = 500
Answers:
(i) 7698
(ii) 9967
(iii) 2887
(iv) 6898
(v) 3866
(vi) 1
X. Add the following 4-digit numbers without regrouping:
|
(i) |
Th H T O 4 1 5 3 + 1 3 4 2 _________________ |
(ii) |
Th H T O 3 5 3 3 + 2 1 6 3 _________________ |
|
(iii) |
Th H T O 2 2 3 7 + 5 3 1 1 _________________ |
(iv) |
Th H T O 5 6 8 2 + 3 2 0 6 _________________ |
|
(v) |
Th H T O 7 4 1 8 + 1 4 3 1 _________________ |
(vi) |
Th H T O 1 5 6 9 + 6 4 3 0 _________________ |
|
(vii) |
Th H T O 1 3 2 1 + 6 4 7 5 _________________ |
(viii) |
Th H T O 6 4 5 6 + 1 0 1 2 _________________ |
Answers:
X. (i) 5477
(ii) 5696
(iii) 7548
(iv) 8888
(v) 8849
(vi) 7999
(vii) 7796
(viii) 7468
XI. Arrange the following in columns and add:
(i) 3316 + 2150
(ii) 5217 + 1431
(iii) 2425 + 5011
(iv) 5143 + 3534
(v) 8000 + 1000
(vi) 2364 + 7123
(vii) 3567 + 4222 + 1000
(viii) 3251 + 1403 + 4162
(ix) 3726 + 2152 + 1011
(x) 4302 + 3024 + 2430
Answers:
XI. (i) 5466
(ii) 6648
(iii) 7436
(iv) 8677
(v) 9000
(vi) 9487
(vii) 8789
(viii) 8816
(ix) 6889
(x) 9756
XII. Fill in the blanks:
(i) 0 + 4543 = _____
(ii) 8708 + _____ = 8708
(iii) 956 + 3794 = _____ + 956
(iv) 8691 + 1 = _____
(v) 5243 + 3514 = _____ + 5243
(vi) 0 + 4267 = _____
(viii) 4590 + _____ = 4591
(viii) 8610 + 1 = _____
Answer:
XII. (i) 4543
(ii) 0
(iii) 3794
(iv) 8692
(v) 3514
(vi) 4267
(viii) 1
(viii) 8611
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