Finding The Product: A Math Adventure!

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Finding the Product: A Math Adventure!

Hey everyone, let's dive into a fun math problem! Today, we're going to figure out the product of the largest three-digit odd number whose digits add up to 14, and then multiply that by 36. Sounds exciting, right? It's like a treasure hunt where the treasure is the answer! So, grab your calculators (or your brainpower), and let's get started. We'll break this down step-by-step to make sure everyone understands the process, from the math whizzes to those who might be feeling a little rusty with numbers. This problem isn't just about getting an answer; it's about sharpening our problem-solving skills and having a good time while we're at it. Get ready to flex those mental muscles, guys!

Unpacking the Puzzle: The Three-Digit Number

Alright, first things first: we need to find that special three-digit number. Remember, the digits have to add up to 14, and the number itself has to be odd. This means the last digit (the ones place) has to be 1, 3, 5, 7, or 9. The larger the hundreds digit is, the larger the number will be. Our goal is to make the number as big as possible, so we'll work our way down from the largest digit to get our solution! Let's get started. We know that the largest digit we can use in the hundreds place is 9, since we are trying to find the largest three-digit number. If we use 9 in the hundreds place, the other two digits must add up to 5. So, that leaves us with two options: 950 or 914, but we want an odd number. Let's try to put 9 in the hundreds place. If the hundreds digit is 9, then the other two digits need to add up to 5. Since we need an odd number, the ones digit must be an odd number (1, 3, 5, 7, or 9). Let's aim to use the biggest odd number as our solution's ones digit. If we use 5 as our ones digit, the other digit must be 0. So that gives us the number 905. Another option could be 932, but it is even, so we don't want that. Another option is 914, but the 4 makes it even, so we do not want that. The largest three-digit odd number with a digit sum of 14 is going to be 905. The next step is to multiply this by 36! It is important to remember that we are working to solve the question, which is the product of the largest three-digit odd number with a digit sum of 14 and 36.

Finding the Biggest Number

Let's break down how to find the largest three-digit number. The key here is to focus on making the hundreds digit as large as possible. Since the digits must add up to 14, we know that the biggest we can make the hundreds digit is 9. Why? Because the remaining two digits would then need to add up to 5 (14 - 9 = 5).

Now, to make the number odd, the ones digit must be an odd number (1, 3, 5, 7, or 9). We want to make the number as large as possible, so let's aim for the biggest odd number we can use in the ones place. If we use 5 as our ones digit, the other digit must be 0. So that gives us the number 905. Another option is 932, but it is even, so we don't want that. Another option is 914, but the 4 makes it even, so we do not want that. So, with this approach, we can see that the largest three-digit odd number whose digits add up to 14 is 950.

However, it's also important to consider all the possibilities. We want an odd number, so the ones digit must be odd. If the hundreds digit is 9, the remaining two digits must add up to 5. So, we're looking at numbers like 905, but we can't make the number larger while keeping it odd and the digits adding up to 14. Therefore, 905 is the answer.

The Grand Finale: Multiplying by 36

Now that we've found our special number (905), it's time for the final act: multiplying it by 36. This is where the magic happens and we reveal the final answer. We can either use a calculator, or if you are feeling brave, we can do it by hand. In this case, we'll use a calculator. It is important to know how to calculate it on our own. When we multiply 905 by 36, we get 32,580. And there you have it, folks! The answer to our math adventure is 32,580. That's the product of the largest three-digit odd number with a digit sum of 14, multiplied by 36. Great job sticking with it!

Performing the Multiplication

Now, for the final step: multiplying our number (905) by 36. If you're using a calculator, great! Just punch in the numbers and you'll get your answer. But, if you want to practice your multiplication skills, let's break it down: First, multiply 905 by 6: 905 * 6 = 5430. Next, multiply 905 by 30: 905 * 30 = 27150. Finally, add the two products together: 5430 + 27150 = 32,580. So the final answer is 32,580!

Wrapping It Up

We did it! We successfully solved our math puzzle. We found the largest three-digit odd number whose digits add up to 14 and multiplied it by 36. The answer is 32,580. This problem teaches us about the importance of breaking down complex problems into smaller, manageable steps. We learned how to find patterns, think logically, and apply our math skills in a creative way. Math can be fun, right? Keep practicing, keep exploring, and never stop challenging yourselves. There are so many exciting mathematical adventures awaiting us.

Key Takeaways

  • Digit Sum: Understanding the concept of digit sums is essential for this problem.
  • Odd and Even Numbers: Recognizing the properties of odd and even numbers helped us find the right solution.
  • Multiplication: Practicing multiplication is key to solving the final step.
  • Problem-Solving: We learned how to break down a complex problem into smaller, manageable steps.

So, until next time, keep those math muscles flexed, guys! And remember, the more we practice, the better we get. Keep exploring the world of numbers and have fun doing it! This was a great exercise, and hopefully, you learned a thing or two. Feel free to try creating your own math problems and challenge your friends. Math is all around us, and it's full of exciting puzzles just waiting to be solved. See you in the next math adventure!