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. Step 1

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 8 12 5 8 9 2 - 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 5 2 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

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.

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

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