We will solve the different types of problems involving addition and subtraction together.
To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and ‘-‘ signs. We find the sum of the numbers with ‘+’ sign and similarly the sum of all the numbers with ‘-‘ sign and then find the difference.
1. Solve 3811 + 4629 – 1821 – 3164
Solution:
Step I: Add the numbers with ‘+’ sign. Step II: Add the numbers with ‘-’ sign. Step III: Subtract the sum of the numbers with ‘-’ sign from the sum of the numbers with ‘+’ sign. |
Note: If there is no sign before a number it means ‘+’ sign.
Answer: 3811 + 4629 - 1821 - 3164 = 3455
2. Simplify: 7,530 + 1,817 - 5,173
Solution:
3. In godown A, there are 41,929 bags of rice and 31930 bags of wheat. In godown B, there are 31,556 bags of rice and 40,999 bags of wheat. Which godown contains more number of bags and by how much?
Godown A Number of bags of rice = 41929
Number of bags of wheat = + 31930
Total number of bags = 73859
Godown B Number of bags of rice = 31556
Number of bags of wheat = + 40999
Total number of bags = 72555
Total number of bags in godown A - Total number of bags in godown B
= 73,859 – 72,555
= 1,304
Therefore, godown A contains 1,304 bags more than that in godown B.
4. Solve: 5,892 - 1,398 + 784 - 2,904
Solution:
Step I: 5,892 - 1,398
Th |
H |
T |
O | ||
18 | |||||
7 |
|
| |||
5 |
|
|
| ||
- |
1 |
3 |
9 |
8 |
|
4 |
4 |
9 |
4 |
Step II: Above difference 4494 + 789
Th |
H |
T |
O | ||
1 | |||||
4 |
4 |
9 |
4 | ||
+ |
|
7 |
8 |
9 |
|
5 |
2 |
7 |
8 |
Step III: Above result 5278 - 2904
Th |
H |
T |
O | ||
7 |
12 |
| |||
|
|
7 |
8 | ||
- |
2 |
9 |
7 |
4 |
|
2 |
3 |
7 |
4 |
Therefore, 5,892 - 1,398 + 784 - 2,904 = 2,374
Note: If there is no sign before the first number, its sign is always taken as plus.
5. Population of California was 12,935,297 in 2007. It increased by 4,534,214 in next five years, but 1,329,417 migrated to Florida, and Georgia. Population of California in 2012 was
(i) 174,695,111
(ii) 16,140,094
(iii) 8,401,083
(iv) 11,605,880
Solution:
Population of California in 2007 = 12,935,297
Increase in population = + 4,534,214
Increase population = 17,469,511
Migrated population = - 1,329,417
Hence, final population in 2012 = 16,140,094
So, the option (ii) is correct, which is the required answer
Note:
We have added 12,935,297 (Population of California in 2007) with 4,534,214 (Population increased by next five years) because, population was increased and subtracted 1,329,417 from 17,469,511 (Increase population) because, population was decreased due to migration.
Worksheet on Addition and Subtraction Together:
I. Solve the following:
(i) 5406 + 1809 – 3281
(ii) 2805 + 4961 – 1629 - 128
(iii) 3619 + 5410 – 2018 – 3110
(iv) 1529 + 402 + 506 – 1200
Answer:
I. (i) 3934
(ii) 6009
(iii) 3901
(iv) 1237
II. Simplify: (Addition and Subtraction Together)
(i) 3,298 + 6,121 - 1,784
(ii) 5,314 - 2,610 + 5,001
(iii) 5,418 - 3,514 + 4,563
(iv) 5,498 - 4,543 + 2,004
(v) 4, 381 + 4,824 - 2,901
(vi) 9,405 - 6,361 + 1,032 - 2,498
(vii) 5,392 + 1,834 - 2,721 - 780
(viii) 3,001 + 5,123 - 6,123 + 2,89
(ix) Subtract the difference of 8,451 and 3,468 from their sum.
Answer:
II. (i) 7,635
(ii) 7,705
(iii) 6,467
(iv) 2,959
(v) 6,304
(vi) 1,578
(vii) 3,725
(viii) 4,891
(ix) 6,936
III. Ron bought a plot for $2,55,000. He constructed a house spending $5,45,328 and sold it for $10,45,350. What is his gain?
Answer:
III. $2,45,022
IV. Mr. X has a deposit of $3,68,750. Mr. Y has $7592 less than Mr. X. Mr. Z has $50,490 more than Mr. X. Calculate the deposit of Mr. Y and Mr. Z.
Answer:
IV. Mr. Y : $ 361158
Mr. Z. : $ 419240
4th Grade Math Activities
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