PEMDAS Rule | Order of Operations

Last Updated : 12 Sep, 2026

PEMDAS is a rule that defines the order in which mathematical operations are performed in an expression.

It stands for:

PEDMAS

Note: Multiplication and division have equal priority, so you do them from left to right. The same is true for addition and subtraction.

Example: 5 + 2[10 - 3(4 - 2)] ÷ 2

We will begin by working from the inside of the brackets. We will begin by solving the innermost bracket and then proceed to the outermost bracket.

Step 1: Solve for 4 - 2, which equals 2. The equation becomes 5 + 2[10 - 3(2)] ÷ 2.

Step 2: Compute 3(2), which equals 6. The equation becomes 5 + 2[10 - 6] ÷ 2.

Step 3: Now, between the parentheses, answer 10 - 6 = 4. Our equation is now 5 + 2[4] ÷2.

Step 4: Then, address what's between the brackets 2[4] = 8. Our expression now looks like 5 + 8 ÷ 2.

Step 5: Following PEMDAS, we divide first 8 ÷ 2 = 4. The equation becomes 5 + 4.

Step 6: Finally, add 5 and 4, and we have our final answer: 9.

By using PEMDAS, you may effortlessly solve hard arithmetic problems and thrive in your math career.

PEMDAS vs BODMAS

The following table compares PEMDAS with BODMAS

PEMDAS

BODMAS

Used for the systematic simplification of mathematical operations such as division, multiplication, addition, and subtraction.

It is also used to simplify arithmetic operations like division, multiplication, addition, and subtraction in an orderly fashion.

  • P = Parenthesis
  • E = Exponents
  • M = Multiplication
  • D = Division
  • A = Addition
  • S = Subtraction
  • B = Brackets
  • O = Orders
  • D = Division
  • M = Multiplication
  • A = Addition
  • S = Subtraction

➢Practice: Solved Examples

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