Find The Equation Which Equals 46

Hey there, math enthusiasts! Ever find yourself staring at a bunch of numbers and operations, trying to figure out which one adds up to a specific total? It's like a mathematical puzzle, and today, we're diving headfirst into one! We've got a mission: to discover which of the given expressions actually equals 46. So, grab your thinking caps, and let's embark on this numerical adventure together!

Deciphering the Options: Our Quest for 46

Our main goal here is to find the equation that equals 46. This isn't just about crunching numbers; it's about understanding the order of operations and how different mathematical expressions can lead to the same result. Let's break down each option step by step, like a detective piecing together clues. We'll use the good old PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to guide us. This way, we make sure we're solving these equations in the correct order, like following a recipe to bake the perfect mathematical cake.

Option A: $5(9-3)+(6 imes 2)$

Let's start with option A, which looks like a bit of a numerical maze. To solve this, we've got to follow the golden rule of math: PEMDAS. First up, we tackle what's inside the parentheses. We've got (9 - 3), which is a straightforward subtraction. Nine minus three? That's six! So, we've simplified the first part to 5(6). Next on our list is (6 * 2), which is six multiplied by two. That gives us twelve. Now, our equation looks a lot simpler: 5(6) + 12. Multiplication comes before addition, so let's multiply five by six, which equals thirty. Now we've got 30 + 12. Finally, we add thirty and twelve together. Thirty plus twelve equals forty-two. So, option A gives us 42. Is it our target of 46? Nope, not this time! We can mark this one off our list, but hey, it was a good warm-up, right? We're getting closer to cracking this numerical puzzle, guys! Remember, math is like a game, and every step gets us nearer to the final answer.

Option B: $3(4+8)+(2 imes 5)$

Now, let's turn our attention to option B. This one's another exciting mathematical journey waiting to be explored! Just like before, we need to keep our trusty PEMDAS rule close at hand. What's the first stop on our PEMDAS tour? You guessed it – the parentheses! We've got (4 + 8) inside the first set, which is four plus eight. That adds up to twelve. So, we can simplify that part to 3(12). Then we have (2 * 5) in the second set, which means two multiplied by five. That gives us ten. Now our equation looks cleaner and more manageable: 3(12) + 10. Next up, we handle the multiplication. Three times twelve is thirty-six. Now we're down to 36 + 10. The last step is addition: thirty-six plus ten. That equals forty-six! Hold on a second… Could it be? Yes! Option B gives us 46! We've hit our target! It's like finding the treasure at the end of a map. But just to be absolutely sure, and because we're thorough math detectives, we're going to check the other options too. This is how we build confidence in our mathematical prowess, guys! We don't just stop at the first right answer; we make sure it's the only right answer.

Option C: $7(3+3)+7$

Alright, let's keep the ball rolling and dive into option C. We're on a roll here, and it's crucial to stay sharp and methodical. We're not just aiming for the right answer; we're mastering the process. So, let's apply our PEMDAS principles once more. Our first focus is, as always, on the parentheses. Inside, we have (3 + 3), which is three plus three. That's a simple one – it equals six. So, we can rewrite the equation as 7(6) + 7. Now, multiplication takes precedence over addition, so let's multiply seven by six. Seven times six is forty-two. That brings us to 42 + 7. Finally, we add forty-two and seven together. What do we get? Forty-nine! So, option C equals 49. That's close to our target of 46, but not quite the bullseye we're aiming for. We can cross this one off our list, but each step is valuable. We're honing our skills and reinforcing our understanding of how equations work. Math isn't just about getting the right answer; it's about the journey and the knowledge we gain along the way.

Option D: $2(10+5)+6$

Okay, math adventurers, we've reached the final option – option D. This is our last chance to uncover any hidden equals-46 gems! Let's bring our A-game and apply PEMDAS one more time. First things first, we zero in on the parentheses. Inside, we've got (10 + 5), which is ten plus five. That's a straightforward fifteen. So, the equation now looks like 2(15) + 6. Next in line is multiplication. We need to multiply two by fifteen. Two times fifteen equals thirty. So, we're now looking at 30 + 6. Finally, we add thirty and six together. Thirty plus six gives us thirty-six. So, option D totals 36. That's not our magic number of 46. We've now carefully examined every option, and it's clear that option D doesn't fit the bill. But that's perfectly okay! Each calculation, whether it leads to 46 or not, helps us sharpen our skills and deepen our understanding of mathematical operations. We're not just solving a problem; we're becoming better problem-solvers!

The Verdict: Option B Reigns Supreme

After our thorough mathematical investigation, the dust has settled, and the verdict is in! Option B, which is $3(4+8)+(2 imes 5)$, is indeed the expression that equals 46. We followed the order of operations diligently, broke down each option step by step, and emerged victorious. It's like we've solved a mathematical mystery, and the feeling of accomplishment is fantastic! This exercise wasn't just about finding the right answer; it was about reinforcing our understanding of mathematical principles, building our problem-solving confidence, and having a bit of fun along the way. Math can be an exciting adventure, and we've proven that today. So, keep exploring, keep questioning, and keep those mathematical gears turning, guys! The world of numbers is full of fascinating discoveries waiting to be made.

Conclusion: Math is an Adventure!

So, there you have it! We've successfully navigated through the world of equations and operations to find the one that equals 46. It was a journey filled with parentheses, multiplication, addition, and a healthy dose of logical thinking. Remember, math isn't just about numbers and formulas; it's about problem-solving, critical thinking, and the thrill of discovery. Keep practicing, keep exploring, and who knows what mathematical mysteries you'll solve next! Until then, keep those calculators handy and your minds sharp, guys!