Math Problem: Solving 4. 14-5(3.35-2.53)-3-(-7)

Hey math enthusiasts! Today, we're diving into a fun little problem: 4. 14-5(3.35-2.53)-3-(-7). Don't worry, it looks a bit intimidating at first, but trust me, we'll break it down step-by-step and make it super easy to understand. This is a great exercise to refresh our knowledge of the order of operations and how to handle parentheses, subtraction, and even those tricky negative signs. Get ready to flex those math muscles and unlock the solution! We will be using PEMDAS rules in solving this mathematical problem. PEMDAS is an acronym that is used to remember the order of operations in mathematics. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Before we jump in, let's quickly recap the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). This is our roadmap for solving the problem. It tells us the order in which we need to perform the calculations to get the right answer. We'll start with parentheses, then move on to multiplication and division (from left to right), and finally, addition and subtraction (from left to right). Remember, PEMDAS is key! Okay, let's get started. First, we need to address anything inside the parentheses. So, we'll calculate 3.35 - 2.53. Then, we'll deal with the multiplication part. Next, handle the subtraction and, finally, the addition. Easy peasy, right?

In this article, we'll provide a detailed, step-by-step solution to ensure clarity and understanding. This is more than just getting the right answer; it's about building your math confidence and understanding the underlying principles. We'll break down each step so that you not only find the answer but also learn why the answer is what it is. Are you ready to dive in? Let's make this math problem a piece of cake!

Step-by-Step Solution

Alright, buckle up, guys, because we are diving right into the solution! We'll go through each step in detail so you won't miss a thing. We are going to make it crystal clear. Ready? Let's start with the first step which is the Parentheses. Remember PEMDAS? That's our guide. Inside the parentheses, we have 3.35 - 2.53. So, let's calculate that first. A quick calculation reveals that 3.35 - 2.53 = 0.82. Now our equation looks a bit cleaner, doesn’t it? Next up, we have to deal with the multiplication.

So, our equation currently looks like this: 4.14 - 5(0.82) - 3 - (-7). The next operation to perform is the multiplication, which is 5 multiplied by 0.82. When we perform this multiplication, we get 5 * 0.82 = 4.1. This significantly simplifies our equation. The equation now becomes: 4.14 - 4.1 - 3 - (-7). See how we're breaking it down systematically? Now it’s time to tackle the subtraction. We have several subtraction operations to perform, so we’ll go from left to right. Now we have 4.14 - 4.1 - 3 - (-7). First, let's calculate 4.14 - 4.1 which equals 0.04. Our equation now looks like this: 0.04 - 3 - (-7). We are almost there, hang tight. Next, we have 0.04 - 3. Remember, when subtracting a larger number from a smaller number, we end up with a negative value. So, 0.04 - 3 = -2.96. The equation is getting simpler! We are almost at the finish line!

Let’s go through it one more time. First, we solved the operation inside the parenthesis, then we dealt with multiplication, and now, we will work with subtraction. With each step, the equation gets more and more manageable. By breaking down each step, it's easier to see how everything fits together. We’re almost there! So, let's move on to the final part of our equation! So, we have -2.96 - (-7). Remember, subtracting a negative number is the same as adding a positive number. Now, this will make the calculation a lot easier! So, -2.96 - (-7) becomes -2.96 + 7. When we add the numbers, we get 4.04. That's it! We have solved the equation! We did it, guys! We have successfully solved the math problem. The answer is 4.04. High five! Now, wasn't that fun? With a bit of patience and following the order of operations, we made it! We showed that even complex-looking equations are manageable when approached step by step. Feel free to go back and review any part you need to. Keep practicing, and you'll become a math whiz in no time!

Conclusion: The Answer Revealed

So, after all that hard work and following the steps, the answer to 4. 14-5(3.35-2.53)-3-(-7) is 4.04!

• We started by solving the expression inside the parentheses: 3.35 - 2.53 = 0.82.
• Next, we performed the multiplication: 5 * 0.82 = 4.1.
• Then, we handled the subtraction operations from left to right: 4.14 - 4.1 - 3 - (-7). Which finally gave us the answer 4.04.

Great job sticking with it! You've successfully navigated the order of operations and come out victorious. You should feel proud of the fact that you can confidently solve this equation. Math can be so satisfying when you break it down into manageable steps. This demonstrates that any math problem, no matter how complex, can be solved by following a clear set of steps and remembering the order of operations.

It’s like building something, each step is as important as the last. This process helps to build your mathematical intuition and problem-solving skills. So the next time you encounter a similar equation, you'll know exactly what to do. Remember to always double-check your work, and don't be afraid to ask for help if you get stuck. Keep practicing, and you will continue to improve your math skills!

Tips for Future Math Success

Alright, champs, you've conquered this problem! Now, let's talk about some tips to keep those math skills sharp and ready for any challenge! First up, practice, practice, practice! The more you work with math problems, the more familiar you'll become with different types of equations and how to solve them. Try doing a few problems every day or week. Consistency is key. You can find tons of free resources online to help you practice, like worksheets and quizzes. Another super useful tip is to understand the concepts, not just memorize the formulas. Take the time to understand why the order of operations works, for example, rather than just knowing how to do it. This will make math much easier and more enjoyable in the long run.

Also, a great way to improve is to break down complex problems into smaller, more manageable steps. Like we did today. This makes the problem less intimidating and easier to solve. When you break it down, you reduce the chances of making mistakes. When you are studying, make sure to take notes and write down all of the key concepts and formulas. Writing them down helps you to understand better. Make sure you actively engage in the material and don’t be afraid to ask questions. If something doesn't make sense, ask your teacher, a friend, or search online for explanations. There are always resources ready and willing to help. Furthermore, use visual aids! Drawing diagrams, using charts, or creating mind maps can make it easier to understand and remember concepts. Visuals make the topic more appealing. Finally, always check your work! Double-checking your answers can help catch any mistakes you may have made along the way. Be sure to re-read the question and make sure that you've answered it correctly. So, there you have it: practice, understand the concepts, break down complex problems, take notes, ask questions, use visuals, and double-check your work! Now, you're all set to tackle any math problem that comes your way. Keep up the great work, and your math skills will continue to grow!