Solve The Math: (6/2)² + 7 X 2 Step-by-Step

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Solve the Math: (6/2)² + 7 x 2 Step-by-Step

Hey everyone! Today, we're diving into a classic math problem: (6/2)² + 7 x 2. Don't worry, it's not as scary as it looks. We'll break it down step-by-step so you can totally nail it. This is a great example of how important it is to remember the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's get started and make sure you understand every single part of this equation. This is not just about getting the right answer; it's about understanding the why behind the how. Are you ready to dive in, guys?

Understanding the Order of Operations (PEMDAS)

Before we start, let's quickly recap the order of operations, also known as PEMDAS. This is super important because it tells us the correct sequence to solve the problem. If you mess up the order, you'll get the wrong answer every time. Think of it like a recipe: you need to follow the steps in the right order to get a delicious result. PEMDAS stands for:

  • Parentheses: Solve anything inside parentheses first.
  • Exponents: Deal with exponents (powers) next.
  • Multiplication and Division: Do these from left to right.
  • Addition and Subtraction: Finally, handle addition and subtraction, also from left to right.

Got it? Great! Now, let's apply this to our problem. Remember this order, and you'll be golden in any math problem. We'll make sure to always refer back to this to keep us on the right track. This method is the foundation for solving more complicated equations later on. So, understanding PEMDAS is a very crucial step. Also, remember that multiplication and division have the same level of precedence, so you solve them as they appear from left to right. Same thing goes for addition and subtraction. Now, let's put it into practice.

Step-by-Step Solution

Okay, guys, let's break down (6/2)² + 7 x 2 step by step. We'll follow PEMDAS to get the correct answer. Trust me, it's easier than you think, especially when you break it down into smaller, manageable chunks. We'll make sure not to skip any steps, so you can follow along easily. This will help build your confidence and make math more approachable. Remember, practice makes perfect, so don't be discouraged if you don't get it right away. Just keep trying, and you'll get there. Every step is important, so pay close attention. It is a very systematic process, and once you get used to it, you'll solve it in no time.

Step 1: Parentheses

First up, we deal with anything inside the parentheses. In our case, we have (6/2). This is a simple division problem. 6 divided by 2 is 3. So, we replace (6/2) with 3. This is our first real step towards simplifying the equation, and it's a piece of cake.

Our equation now looks like this: 3² + 7 x 2

Step 2: Exponents

Next, we tackle the exponents. In our equation, we have 3². This means 3 multiplied by itself (3 x 3). So, 3² equals 9. We're getting closer to our final answer. Every step we take simplifies the equation further, making it easier to solve. Always remember that exponents are essentially repeated multiplication. Make sure you don't confuse it with multiplying the base by the exponent.

Now our equation looks like this: 9 + 7 x 2

Step 3: Multiplication

Now, let's handle the multiplication. We have 7 x 2, which equals 14. We are almost there! We're just a step away from the final answer. See how we're systematically working through the problem? We are following the PEMDAS order and are very near completion. Just keep following the steps, and you'll become a math wizard in no time. Always remember to perform all multiplications and divisions before moving on to addition and subtraction.

Our equation now looks like this: 9 + 14

Step 4: Addition

Finally, we add the remaining numbers. We have 9 + 14, which equals 23. Boom! We've solved the equation. It wasn't that hard, right?

The Final Answer

So, the answer to (6/2)² + 7 x 2 is 23.

Why This Matters

So, why does this matter, guys? Well, understanding the order of operations is fundamental to all sorts of math, from basic algebra to more advanced concepts. It's like learning the alphabet before you start writing a novel. You'll use this skill everywhere, not just in school but also in everyday life. Whether you are balancing a checkbook, calculating the cost of groceries, or figuring out a discount, understanding these basics will come in handy. This simple problem is a building block for more complex calculations. Also, it helps you think critically and solve problems systematically. This is what's really important, since it's about much more than just getting the right answer; it's about developing a way of thinking that is applicable to anything. It teaches you to break down complex problems into smaller, manageable parts. It improves your problem-solving skills, and increases your confidence in tackling more complex math problems. Now you know why this is important for your future!

Tips for Success

Want to get better at these types of problems? Here are some quick tips:

  • Practice, practice, practice: The more you practice, the easier it becomes. Do more problems similar to this one. There are plenty of free resources and practice questions available online.
  • Write it out: Don't try to do it all in your head. Write down each step, like we did. It helps you stay organized and avoid mistakes. This will also help you to spot where you might be going wrong.
  • Double-check: Always check your work. Go back through the steps to make sure you didn't miss anything. If you have time, try solving the problem in a different way to check your solution.
  • Use PEMDAS: Make sure you always remember the order of operations (PEMDAS) and follow it exactly. This will prevent mistakes.
  • Ask for help: If you're struggling, don't be afraid to ask your teacher, a friend, or an online tutor for help. There's no shame in seeking help.

Conclusion

Alright, guys, we made it! We successfully solved the math problem (6/2)² + 7 x 2. We broke it down step by step, using PEMDAS to guide us. Remember to keep practicing and to apply what you've learned. The more you practice, the more confident you'll become. Math doesn't have to be intimidating; it can actually be quite fun once you understand the principles. And that's all for today. Keep practicing, and keep learning! Always make sure to approach these problems in a systematic way and never skip any steps. This is a very common mistake. Always remember to follow the order of operations, and you'll be well on your way to math success. Good luck, and keep up the great work!