If you are trying to solve the problem 6+3×4 where do you start?

Fortunately the rules for the order of operations have been around for hundreds of years to help eliminate the guesswork. A very common method to remember the correct order of operations is PEMDAS, which most people remember by using the expression:

“Please Excuse My Dear Aunt Sally”
P = Parentheses
E= Exponents
M= Multiplication
D= Division
A= Addition
S=Subtraction

Pemdas

Always work Multiplication, Division, Addition, and Subtraction from Left to Right

PEMDAS, stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

  • Parentheses: Parentheses are used to group mathematical expressions together. The expression inside the parentheses is evaluated first.
  • Exponents: Exponents are used to indicate how many times a number is multiplied by itself. The exponent is evaluated next.
  • Multiplication and Division: Multiplication and division are performed from left to right.
  • Addition and Subtraction: Addition and subtraction are performed from left to right.

 

For example, the expression “2 + 3 * 4” would be evaluated as “2 + 12” = 14. First, the multiplication is performed (3 * 4 = 12), and then the addition is performed.

PEMDAS is important because it ensures that mathematical expressions are evaluated correctly. Without PEMDAS, the expression “2 + 3 * 4” could be evaluated as “(2 + 3) * 4” = 20, which is incorrect.

Pemdas