Solve: 5x3 + 8x4 + 90 - Easy Math!

by Jhon Lennon 35 views

Hey guys! Let's dive into this simple math problem together and break it down step-by-step. Sometimes, even what looks like a straightforward equation can be a bit tricky if you don't follow the right order of operations. But don't worry, we'll make it super easy and fun. Our goal here is not just to get the right answer, but also to understand why we get that answer. Math isn't just about memorizing formulas; it's about understanding the logic behind them. So, grab your pencils, and let’s get started!

Understanding the Problem

Okay, so our problem is: 5x3 + 8x4 + 90. At first glance, it looks like a bunch of numbers and symbols thrown together, right? But it’s actually a very organized and solvable equation. The key to solving this is remembering the order of operations, often remembered by the acronym PEMDAS (or BODMAS in some parts of the world). This stands for:

  • Parentheses (or Brackets)
  • Exponents (or Orders)
  • Multiplication and Division
  • Addition and Subtraction

This order tells us which operations to perform first. In our case, we have multiplication and addition. According to PEMDAS, we need to handle the multiplication parts before we do any addition. This is super important because if we add before multiplying, we’ll get the wrong answer. Think of it like building a house; you need to lay the foundation (multiplication) before you can start putting up the walls (addition). So, let’s break down the multiplication parts first.

Step-by-Step Solution

1. Multiplication

We have two multiplication operations in our equation:

  • 5 x 3
  • 8 x 4

Let’s solve these one at a time. First, 5 multiplied by 3 is simply 15. So, we can replace 5 x 3 with 15 in our equation. Next up, we have 8 multiplied by 4. If you know your times tables, you’ll know that 8 times 4 is 32. If you’re not sure, you can always add 8 four times (8 + 8 + 8 + 8) to get the same result. So, we replace 8 x 4 with 32. Now our equation looks like this: 15 + 32 + 90. See how much simpler it looks already? By taking care of the multiplication first, we’ve reduced the problem to just addition.

2. Addition

Now that we’ve handled all the multiplication, we’re left with just addition. We have three numbers to add together: 15, 32, and 90. We can add these in any order we like, but sometimes it’s easier to group numbers that are easy to add together first. For example, let's add 15 and 32 first. 15 + 32 = 47. Now our equation is even simpler: 47 + 90. Finally, we add 47 and 90. This might be easier to do in your head if you break it down a bit. You can think of 90 as 50 + 40. So, 47 + 50 is 97, and then add the remaining 40 to get 137. Alternatively, you can stack the numbers and add them column by column:

47

  • 90

137

So, 47 + 90 = 137. That’s it! We’ve solved the problem.

Final Answer

Therefore, the solution to the equation 5x3 + 8x4 + 90 is 137. Wasn't that fun? By following the order of operations and breaking the problem down into smaller, manageable steps, we were able to solve it easily. Remember, math is all about taking things one step at a time and understanding the rules. Keep practicing, and you'll become a math whiz in no time!

Why is Order of Operations Important?

You might be wondering, why all the fuss about the order of operations? Why can't we just add and multiply in any order we want? Well, the order of operations ensures that everyone gets the same answer when solving the same equation. Without it, math would be chaotic, and we'd all be getting different results! Imagine if you were calculating the cost of buying several items at a store. If you added before multiplying, you might end up paying the wrong amount. The order of operations provides a standard set of rules that everyone follows, ensuring consistency and accuracy in mathematical calculations. It’s like having traffic laws; without them, the roads would be a mess!

Real-World Applications

Understanding and applying the order of operations isn't just about solving equations in a textbook. It's a fundamental skill that has numerous real-world applications. Here are a few examples:

  • Budgeting and Finance: When managing your finances, you often need to calculate expenses, income, and savings. The order of operations helps you accurately determine your financial standing.
  • Cooking and Baking: Recipes often involve multiplying ingredients or adjusting quantities. Following the order of operations ensures that you get the right proportions and avoid culinary disasters.
  • Construction and Engineering: Calculating dimensions, areas, and volumes requires a precise understanding of mathematical operations. Architects and engineers rely on the order of operations to ensure that structures are safe and stable.
  • Computer Programming: In programming, mathematical expressions are used to perform calculations and manipulate data. The order of operations is crucial for writing code that produces the correct results.

As you can see, the order of operations is a valuable skill that can be applied in many different aspects of life. By mastering it, you'll be better equipped to solve problems and make informed decisions.

Practice Problems

Want to put your skills to the test? Here are a few practice problems that you can try:

  1. 10 + 5 x 2 - 8
  2. (3 + 4) x 6 / 2
  3. 25 - 3 x 7 + 12 / 4

Remember to follow the order of operations (PEMDAS/BODMAS) when solving these problems. Good luck, and have fun!

Conclusion

So, there you have it! We've successfully solved the equation 5x3 + 8x4 + 90 by breaking it down into manageable steps and following the order of operations. Remember, math isn't about memorizing formulas; it's about understanding the logic behind them. Keep practicing, and you'll become more confident and proficient in solving mathematical problems. And don't forget, math can be fun! Keep exploring, keep learning, and keep challenging yourself. You've got this!