ORDER OF OPERATIONS

Definition of Order of Operations

Order of operation comes into play when a mathematical expression has more than one arithmetical operation.

Order of operations refers to the precedence of performing one arithmetical operation over another while working on a mathematical expression.

Here are the Rules:

    1. Evaluate expressions inside parentheses.
    2. Evaluate all powers
    3. Perform all multiplications and/or divisions from left to right
    4. Perform all additions and/or subtractions from left to right.

More About Order of Operations

  • Order of operations if not rigidly followed can lead to two different solutions to the same expression.
  • PEMDAS or BEDMAS help you remember order of operations.
  • PEMDAS - Please Excuse My Dear Aunt Sally
  • P - Parentheses
    E - Exponents
    M - Multiplication
    D - Division
    A - Addition
    S - Subtraction

Video Examples: Order Of Operations


    BEDMAS
    B - Brackets
    E - Exponents
    D - Division
    M - Multiplication
    A - Addition
    S - Subtraction

Examples of Order of Operations

    2 + (25 4) 20 2
    First do all operations inside parentheses
    2 + (21) 20 2
    Perform all multiplications and divisions, from left to right.
    2 + 420 2
    2 + 210
    Perform all additions and subtractions from left to right.
    212

Solved Example on Order of Operations

Ques: Evaluate the variable expression 5x4 + 4 when x = 3 using order of operations.

    Choices:
    A. 419
    B. 404
    C. 409
    D. 414
    Correct Answer: C

Solution:

    Step 1: 5x4 + 4[Original expression.]
    Step 2: = 5 (3)4 + 4 [Substitute x = 3.]
    Step 3: = 5 81 + 4 [Evaluate power.]
    Step 4: = 405 + 4[Multiply 5 with 81.]
    Step 5: = 409 [Add.]
    Step 6: So, the value of 5x4 + 4 for x = 3 is 409.