# Order of Operations Calculator

Top
 Order of Operations is a rule which help to solve a mathematical problems correctly, this rule define which operations should be performed first in a given expression.     Order of operations are sometimes known as Operator Precedence.

## Order of Operations Rules

Rule 1: First, calculate the operations that lie inside brackets or parentheses.
Rule 2: Next, calculate exponents or radicals.
Rule 3: Do multiplication and division operation in the order the operation occur.
Rule 4: Do addition and subtraction operation in the order the operation occur.

1) All the Calculations is done from left to right.
2) Group the brackets, parentheses, braces first. When there is more than one set of brackets, work with inner brackets first.

Acronyms to Remember
BEDMAS (Brackets, Exponents, Divide, Multiply, Add, Subtract)

Please Excuse My Dear Aunt Sally (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)

Big Elephants Destroy Mice And Snails (Brackets, Exponents, Divide, Multiply, Add, Subtract)

Pink Elephants Destroy Mice And Snails (Parenthesis, Exponents, Divide, Multiply,Add, Subtract)

## Order of Operations Examples

Example 1:   Evaluate $2 + 6 \times \left ( 4 + 5 \right ) \div 3 - 6$ using the order of operations.
Solution:
Step 1:     $2 + 6 \times \left ( 4 + 5 \right ) \div 3 - 6 = 2 + 6 \times 9 \div 3 - 6$    Parentheses
Step 2:     $2 + 6 \times 9 \div 3 - 6 = 2 + 54 \div 3 - 6$   Multiplication
Step 3:     $2 + 54 \div 3 - 6 = 2 + 18 - 6$    Division
Step 4:     $2 + 18 - 6 = 20 - 6$    Addition
Step 5:     $20 - 6 = 14$    Subtraction

Example 2:   Evaluate $150 \div \left ( 2 + 6 \times 8 \right ) - 1$ using the order of operations.
Solution:
Step 1:     $150 \div \left ( 2 + 6 \times 8 \right ) - 1 = 150 \div \left ( 2 + 48 \right ) - 1$     Multiplication inside Parentheses
Step 2:     $150 \div \left ( 2 + 48 \right ) - 1 = 150 \div 50 - 1$    Addition inside Parentheses
Step 3:     $150 \div 50 - 1 = 3 - 1$     Division
Step 4:     $3 - 1 = 2$     Subtraction