Step-by-Step Guide To Solving 99 + (1-2) + 3 X 2 + S + 2X4

Hey guys! Ever stumbled upon a seemingly complex numerical expression and felt a bit overwhelmed? Well, you're not alone! Today, we're going to break down the expression 99 + (1-2) + 3 X 2 + s + 2X4 into manageable steps. This isn't just about finding the answer; it's about understanding the process, so you can tackle similar problems with confidence. Whether you're brushing up on your math skills or helping a friend, this step-by-step guide will make things crystal clear.

Understanding the Expression

Before we dive into the calculations, let’s make sure we understand the expression: 99 + (1-2) + 3 X 2 + s + 2X4. At first glance, it might look a bit intimidating, but don't worry! We're going to take it piece by piece. We have a mix of addition, subtraction, and multiplication, along with a variable 's'. Remember, the order of operations is crucial here. We need to follow PEMDAS/BODMAS, which stands for:

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

So, let's keep this in mind as we move forward. The variable 's' indicates that we'll have an expression with a variable in our final answer, rather than a single numerical value. Understanding this from the outset helps set the right expectations for the solution. We'll isolate 's' as much as possible, combining all numerical terms, and then express the result in terms of 's'. This approach is fundamental in algebra, where we often manipulate expressions to solve for unknowns. In the following sections, we will systematically apply PEMDAS/BODMAS to simplify the numerical parts of the expression, paving the way to handle the variable 's' effectively. This detailed breakdown ensures clarity and precision, making the process accessible and understandable.

Step 1: Parentheses

Okay, first things first, let's tackle the parentheses. We have (1-2) inside the expression. This is a simple subtraction, and 1 minus 2 equals -1. So, we can replace (1-2) with -1 in our expression. Our expression now looks like this: 99 + (-1) + 3 X 2 + s + 2X4. See? We're already simplifying things! Dealing with parentheses first is key because it sets the stage for the rest of the calculation. It's like clearing the first hurdle in a race—once you've got it out of the way, the path ahead looks much clearer. This step is a straightforward application of the order of operations, ensuring we handle the most contained operation first. By simplifying within the parentheses, we're reducing the complexity of the overall expression, making subsequent steps easier to manage. This principle is not just useful in math but also in problem-solving in general—breaking down a large task into smaller, more manageable parts often makes the whole task less daunting. So, with this first step done, we're well on our way to solving the puzzle.

Step 2: Multiplication

Next up, multiplication! Looking at our expression: 99 + (-1) + 3 X 2 + s + 2X4, we have two multiplication operations to handle: 3 X 2 and 2 X 4. Let's take them one at a time. 3 multiplied by 2 is 6, and 2 multiplied by 4 is 8. We can now replace these in our expression, which becomes: 99 + (-1) + 6 + s + 8. We're making good progress, guys! Multiplication takes precedence over addition and subtraction in the order of operations, so it's crucial to address these terms next. This step helps to further simplify the expression by converting multiplication operations into single numerical values. This not only reduces the number of operations we need to perform but also makes the expression easier to read and understand. By methodically working through each multiplication, we ensure accuracy and clarity in our calculations. This approach reinforces the importance of following the correct order of operations, which is essential for arriving at the correct solution. With the multiplications done, we're left with a series of additions and subtractions, which we'll tackle in the next step.

Step 3: Addition and Subtraction

Alright, now we're in the home stretch! Our expression is 99 + (-1) + 6 + s + 8. We've got a series of additions and subtractions to take care of. Remember, we perform these operations from left to right. So, let's start with 99 + (-1). Adding -1 to 99 is the same as subtracting 1 from 99, which gives us 98. Now our expression is 98 + 6 + s + 8. Next, we add 98 and 6, which equals 104. So, we have 104 + s + 8. Finally, we add 104 and 8, which gives us 112. Now, the expression is simplified to 112 + s. We've combined all the numerical terms, and all that's left is our variable 's'. This final step showcases how we efficiently reduce a complex expression to its simplest form by sequentially applying addition and subtraction. The left-to-right approach is key to maintaining accuracy, especially when dealing with a mix of positive and negative numbers. This methodical process ensures that each term is correctly accounted for, leading to the most simplified form possible. By reaching this point, we've successfully navigated through all the numerical operations, isolating the variable 's' and expressing the solution in terms of 's'. This is a common practice in algebra, allowing us to represent a range of possible solutions depending on the value of 's'.

Final Result

So, after all the calculations, we've simplified the expression 99 + (1-2) + 3 X 2 + s + 2X4 to 112 + s. That's it! We've successfully navigated through parentheses, multiplication, addition, and subtraction to arrive at our final result. This result tells us that the value of the entire expression depends on the value of 's'. If we knew what 's' was, we could simply add it to 112 to get a final numerical answer. But for now, 112 + s is the most simplified form we can achieve. Breaking down the problem step by step really helped, right? By following the order of operations (PEMDAS/BODMAS), we were able to tackle each part of the expression systematically. This approach is super useful for solving any mathematical problem, no matter how complicated it might seem at first. Remember, the key is to take it one step at a time, and you'll get there! This final result underscores the importance of understanding algebraic expressions and how variables play a role in determining outcomes. It also highlights the power of simplification in making complex problems more manageable. With this final answer, we've not only solved the specific expression but also reinforced the broader principles of algebraic manipulation.

Conclusion

Well, guys, we did it! We successfully solved the expression 99 + (1-2) + 3 X 2 + s + 2X4 and found the simplified form to be 112 + s. Hopefully, this step-by-step guide has made the process clear and easy to follow. Remember, the key to solving these types of problems is to take them one step at a time, following the order of operations. Whether you're a student learning the ropes or just brushing up on your skills, a systematic approach can make all the difference. Don't be intimidated by complex expressions; break them down, stay organized, and you'll be solving them like a pro in no time! Math can be challenging, but it's also incredibly rewarding when you crack the code. So, keep practicing, keep learning, and most importantly, keep having fun with it! This journey through the solution not only reinforces mathematical skills but also enhances problem-solving abilities in general. The methodical approach we've used can be applied to various challenges, making it a valuable tool in any situation. By mastering these fundamental concepts, you're not just solving equations; you're building a foundation for more advanced mathematical concepts and real-world problem-solving. So, keep exploring, keep questioning, and keep growing your mathematical confidence!