Combination of Addition and Subtraction

We will discuss here about the combination of addition and subtraction.

To show the problems 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. If there is no sign before a number it means ‘+’ sign.

The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are:

I: First add and then subtract,

II: Solve the numbers enclosed in the brackets and then solve further.

Solved Example Involving Addition (+) and Subtraction (-) ogether:

1. Solve 3252 - 1802 + 2610

Solution:

               3    2    5    2

           +  2    6    1    0

               5    8    6    2

Now

                        5       8    6   2

                 -   1    8    0    2

              4    0    6    0



2. Find the solution to (7259 - 5369) + 2156

Solution:

               6                    11                  15

               7              2              5              9

         -     5              3              6              9

                1              8              9              0

Now

                1                     1          

                1              8              9              0

         +     2              1              5              6

                4              0              4              6



3. Subtract 4926 from the sum of 3051 and 4257

Solution:

Sum of 3051 and 4257

                                1

                3              0              5              1

        +      4              2              5              7

                7              3              0              8


Now, subtract 4926 from 7308

                       6                   12                   10

                7              3              0              8

          -     4              9              2              6

                2              3              8              2


4. Solve 481 + 356 – 168.

Solution:

Step I: Add the numbers with ‘+’ sign.

Add and Sub

Step II: Subtract the number with ‘-‘ sign from the sum of the numbers with ‘+’ sign.

Addition and Subtraction

Therefore, 481 + 356 – 168 = 669


Word Problems on Addition and Subtraction Together:

5. Daniel has 478 chocolate cookies and 245 chocolate chip cookies. He distributed 323 cookies among his friends. How many cookies were left with him?

Solution:

Chocolate cookies = 478

Chocolate chip cookies = 245

Step I: Addition

Word Problem on Addition and Subtraction

Total number of cookies = 478 + 245 = 753

Cookies Distributed = 323


Step II: Subtraction

Word Problem on Addition and Subtraction

Cookies left with Daniel = 753 - 323 = 430

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