PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. It is a good way to remember the order of operations for math.
When you have an expression with many operations, you need to follow a specific order to simplify it correctly.
Here’s what each letter in PEMDAS means:
- Parentheses: Simplify any expressions inside parentheses first. If there are nested parentheses, start with the center set and work your way out.
- Exponents: Simplify any exponents.
- Multiplication and Division: Perform any multiplication or division operations from left to right.
- Addition and Subtraction: Perform any addition or subtraction operations from left to right.
Let’s look at an example to see how PEMDAS works:
8 + 4 * (9 – 3) / 6 ^ 2 – 1
First, you simplify the expression inside the parentheses:
8 + 4 * 6 / 6 ^ 2 – 1
Next, you simplify the exponent:
8 + 4 * 6 / 36 – 1
Then, you perform the multiplication and division, working from left to right:
8 + 24 / 36 – 1
8 + 0.666… – 1
then, you perform the addition and subtraction, also working from left to right:
So the final answer would be 7.666…
By using PEMDAS, you simplify expressions in a consistent and reliable way. It’s an important skill to have in math, as it allows you to solve more complex problems with ease. Which will help when it comes to taking aptitude test when in a trade school, getting into an apprenticeship and once your in a trade!