Integers Order Of Operations

Introduction to integers order of operations:

                 Integers are nothing but all the whole numbers and their negatives including 0. Integers order of operations means we will make expressions using the integers and we have to perform the operations based on some order. This order is called order of operations. In integer we are can perform addition, subtraction, multiplication and division operations. We can use the following codeword to remember the Integers order of operations “Please Excuse My DearAunt Sally”.

Integers Order of operations:

                 We can use the above code word to remember the order of operations. In this P indicates the operations which are inside the parenthesis. E indicates the exponential operation. M indicates multiplication likewise D – Division, A - Addition, S – Subtraction. Here multiplication and division is having higher priority and addition and subtraction is having lower priority. When we perform the operations we have to move from left to right. When performing integer operations we have to perform the following integer order of operations. We will see some examples for perfuming integer order of operations. If we want to add any two negative integers we have to add their opposites and answer using the same sign. For example -3 -9 = - (3 + 9) = -12

Example for Integers order of operations:

Example 1:

         Solve the following integer using the Integers order of operations: 3 + 6 `xx` (-4 + 3) `-:` 3 – 3

Solution:

           3 + 6 `xx` (-4 + 3) `-:` 3 – 3

Step 1:

          First we have to make the operations which are inside the parenthesis.

               So, 3 + 6 `xx` (-1) `-:` 3 – 3

Step 2:

          Next we have to make the multiplication operation

                      3 – 6 `-:` 3 – 3

Step 3:

          Next we have to do the division operation

                  We will get

                         3 – 2 – 3

Step 4:

        3 – (2 + 3)

Because to add both negative numbers we have to add their opposites and use the same sign.

        So, 3 – 5 = -3

Example 2:

          Solve the integer expression - 2 + 5 `xx` (6 `xx` 5) `-:` 6

Solution:

         Step 1:

               First we have to make the operations which is inside the parenthesis

                      - 2 + 5 `xx` (6 `xx` 5)` -:` 6 = - 2 + 5 `xx` (30) `-:` 6   

        Step 2:

            After that we have to perform multiplication operation

                    - 2 + 5 `xx` (30) `-:` 6 = -2 + 150 `-:` 6     

        Step 3:

                 Now we have to perform the division and then addition operation

                          2 + 150 `-:`6 = 2 + 25 = 27

             So the answer will be 27

So from the above example we understand the order of operations.