Step-by-Step Solution 35 × 792 ÷ 20 + 14205 - 11987

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Hey guys! Are you struggling with this math problem: 35 × 792 ÷ 20 + 14205 - 11987? Don't worry, you're not alone! Math problems with a bunch of different operations can seem intimidating, but we can totally break it down step-by-step. In this comprehensive guide, we'll walk through the solution together, making sure you understand each calculation along the way. Get ready to sharpen your math skills and conquer this equation!

Understanding the Order of Operations

Before we dive into the nitty-gritty calculations, let's quickly review the order of operations. This is the golden rule of math that tells us which operations to perform first. Remember the acronym PEMDAS:

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

Following PEMDAS ensures we get the correct answer every time. Think of it as the recipe for solving mathematical equations – if you follow the steps in the right order, you'll bake a perfect cake (or in this case, solve the problem correctly!). Ignoring this order can lead to a completely wrong answer, so let's keep PEMDAS in mind as our guiding principle.

Now, let's look at our problem again: 35 × 792 ÷ 20 + 14205 - 11987. Notice there are no parentheses or exponents here, so we'll start with multiplication and division, working from left to right. This is where the real fun begins!

Step 1: Multiplication (35 × 792)

The first operation we encounter is multiplication: 35 multiplied by 792. This might seem like a big number, but don't sweat it! We can tackle it methodically. Let's break it down:

Imagine multiplying these numbers manually, or you can use a calculator – whichever you're more comfortable with. When you multiply 35 by 792, you get 27720. So, let’s write that down. We’ve just completed our first step! We've taken a chunk out of the problem, and it's already looking less intimidating. This is a crucial step because it simplifies the equation and sets us up for the next operation. Remember, in math, just like in life, taking things one step at a time makes the whole process easier and more manageable.

Step 2: Division (27720 ÷ 20)

Next up, we have division: 27720 divided by 20. Division can seem tricky, but it’s just the reverse of multiplication. We're figuring out how many times 20 fits into 27720.

You can perform long division or use a calculator. When you divide 27720 by 20, you get 1386. Great job! We've knocked out another operation. See how breaking the problem down makes it less scary? Now our equation is even simpler. This step is essential because it further reduces the numbers we're working with, bringing us closer to the final answer. Keep in mind, each operation we complete is a victory, and we’re building momentum towards solving the entire problem.

Step 3: Addition (1386 + 14205)

Now we move on to addition: 1386 plus 14205. Addition is straightforward, we're just combining two numbers together.

Add 1386 and 14205, and you’ll get 15591. Fantastic! We're on the home stretch now. The problem is really taking shape, and we're just one step away from the final answer. This step is a significant milestone, as we've now simplified the equation to a simple subtraction problem. Feel that sense of accomplishment? We're almost there!

Step 4: Subtraction (15591 - 11987)

Finally, we have subtraction: 15591 minus 11987. This is the last operation we need to perform to solve the problem.

Subtract 11987 from 15591, and you get 3604. Boom! We've got our answer! It's like reaching the summit of a mountain – you've put in the work, and now you can enjoy the view. This final step is the culmination of all our efforts, and it’s incredibly satisfying to see the solution come together. Remember, every calculation we made led us to this moment.

The Final Answer

So, the final answer to the equation 35 × 792 ÷ 20 + 14205 - 11987 is 3604. You did it! Give yourself a pat on the back. We tackled a complex problem by breaking it down into manageable steps, and we emerged victorious. Remember this feeling of accomplishment – it's what makes learning math so rewarding. And the best part? You can apply this same step-by-step approach to all sorts of math problems. So go out there and conquer those equations!

Tips for Solving Similar Problems

To tackle similar mathematical problems in the future, keep these tips in mind:

  1. Always follow the order of operations (PEMDAS): This is the golden rule of math. No matter how complex the equation, sticking to PEMDAS will guide you to the correct answer. It’s like having a roadmap for solving math problems.
  2. Break the problem down into smaller steps: Large equations can seem overwhelming, but if you tackle them one operation at a time, they become much more manageable. Think of it like climbing a staircase – each step gets you closer to the top.
  3. Double-check your work: It’s always a good idea to review your calculations to catch any errors. A small mistake early on can throw off the entire answer. Consider using a calculator to verify your results, especially for complex calculations.
  4. Practice regularly: Like any skill, math improves with practice. The more problems you solve, the more comfortable and confident you'll become. Try doing a few math problems every day to keep your skills sharp.
  5. Use online resources: There are tons of websites and apps that can help you with math. These resources often provide step-by-step solutions and video tutorials, making it easier to understand complex concepts.
  6. Don't be afraid to ask for help: If you're stuck on a problem, don't hesitate to ask a teacher, tutor, or friend for assistance. Explaining your difficulty can often help you understand the problem better, and getting another perspective can provide valuable insights. Remember, everyone struggles with math sometimes, and seeking help is a sign of strength, not weakness.

Conclusion

Math problems like 35 × 792 ÷ 20 + 14205 - 11987 might seem daunting at first, but with a clear understanding of the order of operations and a step-by-step approach, they become much easier to solve. Remember to follow PEMDAS, break down the problem, double-check your work, and practice regularly. You've got this! Math can be challenging, but it's also incredibly rewarding. The satisfaction of solving a complex problem is a feeling like no other. So keep practicing, keep learning, and keep challenging yourself. You'll be amazed at what you can accomplish! And remember, math isn't just about numbers and equations – it's about problem-solving, critical thinking, and developing skills that will benefit you in all areas of life. So embrace the challenge, and enjoy the journey of mathematical discovery!