Wednesday, May 26

Order of operation using algebra

Introduction of order of operation using algebra:
 The Order of Operation using algebra is
P          - Parentheses,
E          - Exponents,
        - Multiplication,
D          - Division,
A          - Addition and
         - Subtraction
  1. Calculations have to be finished from left to right in algebra.
  2. First complete the operations inside a parenthesis.
  3. Next Complete the operations of  exponents.
  4. Then do multiplication and division, from left to right.
  5. Then  do addition and subtraction, from left to right.

Step by step process for order of operation:


Parenthesis
                In algebra the parenthesis, combining symbols are always completed from the innermost set outward.
Exponents
                In algebra, an exponent is unlike than just multiplying. 
Example: 2^4 means 2 x 2 x 2 x 2 = 16
Evaluate 2 + 5 x (4 + 3) ÷ 2 - 6 using the order of operations.

Solution: 
Step 1:   2 + 5 x (4 + 3) ÷ 5 - 6  =  2 + 2 x 9 ÷ 3 – 6 Parentheses
Step 2:   2 + 5 x 7 ÷ 5 – 6  =  2 + 18 ÷ 3 – 6 Multiplication
Step 3:   2 + 35 ÷ 5 – 6  =  2 + 6 – 6 Division
Step 4:   2 + 7 - 7  =  2+6 – 6 Addition
Step 5:   2  =  2 Subtraction
Multiplication and Division in algebra
                These operations are completed in the order they show from left to right.  They are finished together because they have same importance.

         These two operation have two operations of the same importance. These are finished in the order that they show from left to right. 

Hope you like the above explanation, Please leave your comments, if you have any doubts.

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