Understanding Order of Operations: Solving 9 - (2 + 3) × 2

Crunching Numbers: The Importance of Order of Operations

Hey there! So, you're gearing up for the GED Math Test and want to ace those math problems, right? Well, let’s talk about the significance of the order of operations and how to tackle an expression step-by-step. It’s simpler than it sounds, promise!

The Problem: What Do We Have?

Let's break down the expression in question: 9 - (2 + 3) × 2. Before we even think about putting pen to paper, we need to keep in mind the rule of thumb when dealing with math expressions — remember PEMDAS? That’s right! It’s your best buddy here:

• Parentheses
• Exponents
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Following this sequence keeps us from getting lost in the world of numbers. So, let's jump right in!

Step 1: Parentheses First

Okay, so we see parentheses in our expression. We need to tackle that first! Inside those parentheses, we have 2 + 3. What does that add up to? 5!

Now, our expression simplifies to:

9 - 5 × 2

Step 2: Multiplication Next

Here’s where we really need to focus. Next up, we need to multiply. So, we'll take that 5 and multiply it by 2, which gives us 10. Who doesn't love that smooth multiplication?

Now our expression looks like this:

9 - 10

Step 3: Finally, Subtraction

And now, we’re down to our last step. It’s time to subtract! You might want to do a little mental math here – 9 - 10 equals -1.

And there you have it! The final answer is -1.

So, What’s the Takeaway?

This exercise is a neat illustration of how critical it is to follow the order of operations. One small mistake can lead you down a rabbit hole – and trust me, you don’t want to find yourself stuck there in an important test!

Working through problems like this can boost your confidence significantly. And that’s what we’re aiming for, right? Confidence can make all the difference on any testing day. Plus, once you get the hang of this, you’ll realize it becomes second nature!

Want to Explore More?

If you found this breakdown helpful, just think how much more you could learn by practicing similar problems! There are tons of resources out there that can guide you, improve your skills, and—most importantly—help you feel prepared.

Embrace every opportunity to practice and master those math skills! Who knows? You might just find yourself enjoying the journey – one problem at a time.

Good luck, and remember, confidence is key!