Find The Number: 239 More Than Double Of 328
Hey guys! Let's dive into this math problem where we need to find a number. The problem tells us that half of a certain number is 328, and we need to find the number that is 239 greater than the original number. It sounds a bit tricky, but don't worry, we'll break it down step by step. So, grab your pencils and let's get started!
Understanding the Problem
First, let's make sure we understand what the problem is asking. We know that half of a number is 328. This means if we double 328, we'll find the original number. Once we have that, we need to add 239 to that original number to find our final answer. It's like a little treasure hunt with numbers! Understanding the key parts is super important because it guides us on how to solve the problem effectively. Now, let's get to cracking this mathematical puzzle.
Breaking Down the Information
To solve this problem, we need to approach it in a structured way. Initially, we are told that half of a certain number equals 328. Mathematically, this can be represented as:
x / 2 = 328
Where x represents the unknown number we are trying to find. Our goal is to isolate x on one side of the equation to determine its value. To do this, we need to perform the opposite operation of dividing by 2, which is multiplying by 2. By multiplying both sides of the equation by 2, we can eliminate the fraction and solve for x:
(x / 2) * 2 = 328 * 2
x = 656
So, the original number is 656. But we are not done yet! The problem requires us to find a number that is 239 greater than this original number. This means we need to add 239 to 656.
New Number = 656 + 239
Calculating the Final Answer
Now that we have found the original number, which is 656, the next step is to add 239 to it. This addition will give us the final answer to the problem. Let’s perform the addition:
656 + 239 = 895
So, the number that is 239 greater than the original number (656) is 895. This is our final answer. Let's summarize the steps we took:
- Recognized that half of a number is 328.
- Calculated the original number by multiplying 328 by 2, giving us 656.
- Added 239 to the original number (656) to find the number that is 239 greater than the original.
- Determined that the final answer is 895.
Now, we can confidently say that the solution to the problem is 895.
Step-by-Step Solution
Okay, let's break down the solution into simple steps:
-
Find the original number:
- We know that half of the number is 328.
- To find the whole number, we multiply 328 by 2:
328 * 2 = 656- So, the original number is 656.
-
Add 239 to the original number:
- Now we need to find the number that is 239 greater than 656.
- We simply add 239 to 656:
656 + 239 = 895 -
The final answer:
- The number that is 239 greater than the original number is 895.
Alternative Approach
Alright, let's look at another way we could solve this problem. Instead of finding the original number first and then adding 239, we can think about it a bit differently.
Combining the Operations
We know we need to double 328 to find the original number. We also know we need to add 239 to that original number. So, we can write this as a single expression:
(328 * 2) + 239
This expression tells us to first multiply 328 by 2 and then add 239 to the result. This way, we can solve the problem in one go!
Calculation
Let's calculate it:
(328 * 2) + 239 = 656 + 239 = 895
As you can see, we get the same answer, 895, but with a slightly different approach. This method can be useful because it combines the steps, potentially making the problem a bit quicker to solve.
Real-World Application
Okay, guys, you might be wondering, "When am I ever going to use this in real life?" Well, let's think about a practical example. Imagine you're baking cookies for a school bake sale. You know that each batch of cookies requires half a bag of flour, and you have 328 grams of flour (which is half a bag). You need to figure out how many cookies you can make with a full bag of flour. Then, you decide to add 239 chocolate chips to the cookies to make them extra special.
Baking Cookies Example
-
Finding the full bag of flour:
- You know half a bag is 328 grams.
- So, a full bag is:
328 * 2 = 656 grams -
Adding chocolate chips:
- You decide to add 239 chocolate chips to the cookies.
- The total number of items you're adding (flour + chocolate chips) is:
656 + 239 = 895
In this case, 895 could represent a combination of the amount of flour you're using and the extra chocolate chips you're adding to your cookies. It's a simplified example, but it shows how these kinds of calculations can pop up in everyday situations! This example shows that applying math to your day-to-day activities can be a fun experience!
Conclusion
So, there you have it! We've successfully found the number that is 239 greater than twice of 328. The answer is 895. Whether you choose to solve it step-by-step or combine the operations, the key is to understand the problem and break it down into manageable parts. And remember, math isn't just about numbers; it's about problem-solving and critical thinking. Keep practicing, and you'll become math wizards in no time!
I hope this explanation helps, and remember, math can be fun if you approach it with the right mindset. Keep practicing and exploring, and you'll become more confident with every problem you solve. Good luck, and happy calculating!