Understanding the Order of Operations in Mathematics

Mathematics can be tricky, but understanding the order of operations is key to solving equations correctly. Whether you’re dealing with basic arithmetic or complex algebra, knowing when to do what is essential for reaching the right answer.

Breaking Down the Equation: Step by Step

Let’s take a simple-looking equation:
60 / 5(7 – 5) = ?

At first glance, it may seem easy, but the order of operations is crucial to getting the right result.

PEMDAS: Your Guide to Solving Problems

PEMDAS stands for:

  • Parentheses
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

This rule tells you which operation to do first.

Step 1: Simplify Inside Parentheses

Start by solving what’s inside the parentheses.
7 – 5 = 2.
Now the equation looks like:
60 / 5(2)

Step 2: Division Before Multiplication

Next, follow PEMDAS and divide first:
60 ÷ 5 = 12
Now, the equation is:
12(2)

Step 3: Multiply

Now, multiply:
12 × 2 = 24

So, the correct answer is 24!