Back to Mathematical Foundations
BeginnerChildren
Order of Operations (PEMDAS)
When you have a math problem with many operations, how do you know which one to do first? We use the Order of Operations, which you can remember with the acronym **PEMDAS**.
**P** - Parentheses: Always solve what's inside parentheses first.
**E** - Exponents: Next, solve any exponents (powers).
**M/D** - Multiplication and Division: Do these from left to right, whichever comes first.
**A/S** - Addition and Subtraction: Finally, do these from left to right.
Let's try an example:
1. No Parentheses or Exponents.
2. Multiplication first:
3. Now the problem is
4. Addition last:
Another one:
1. Parentheses first:
2. Now the problem is
3. Multiplication last:
This order is very important in programming, as computers follow it exactly!
**P** - Parentheses: Always solve what's inside parentheses first.
**E** - Exponents: Next, solve any exponents (powers).
**M/D** - Multiplication and Division: Do these from left to right, whichever comes first.
**A/S** - Addition and Subtraction: Finally, do these from left to right.
Let's try an example:
10 + 2 * 31. No Parentheses or Exponents.
2. Multiplication first:
2 * 3 = 6.3. Now the problem is
10 + 6.4. Addition last:
10 + 6 = 16.Another one:
(3 + 2) * 41. Parentheses first:
3 + 2 = 5.2. Now the problem is
5 * 4.3. Multiplication last:
5 * 4 = 20.This order is very important in programming, as computers follow it exactly!
Calculate with PEMDAS
Calculate the result of the expression `5 * (4 - 2) + 10` following the order of operations and print the final number.