Luciana Bought 2.50 Meters Of Red Ribbon, 245 Centimeters Of Blue Ribbon, And 1 Meter And 35 Centimeters Of Yellow Ribbon. What Is The Total Length Of Ribbon She Bought In Meters?
Introduction
In this article, we will solve a practical problem involving the calculation of total ribbon length. Luciana purchased different lengths of ribbon in red, blue, and yellow. To find the total length, we need to convert all measurements to a common unit (meters) and then add them up. This exercise is a great example of how mathematical skills are applied in everyday situations. This article aims to provide a detailed step-by-step solution to the problem, ensuring clarity and understanding for all readers. Mathematics plays a crucial role in our daily lives, and this example demonstrates how basic arithmetic operations and unit conversions are essential tools. By breaking down the problem into smaller, manageable steps, we can gain a better understanding of the concepts involved and improve our problem-solving abilities. This article will guide you through each stage of the calculation, from converting centimeters to meters to summing the lengths. Understanding these concepts is not only useful for academic purposes but also for practical, real-world applications. So, let's dive into the details and explore how we can accurately calculate the total ribbon length Luciana purchased. The significance of understanding measurement and unit conversion extends beyond simple calculations. It's a fundamental skill required in various fields, from construction and engineering to fashion design and even cooking. This article aims to highlight the importance of these skills by demonstrating their practical application in a common scenario. By mastering these concepts, individuals can confidently tackle similar problems in their own lives, whether it's calculating fabric needed for a sewing project or determining the amount of material required for a home renovation. The article will also emphasize the importance of accuracy and attention to detail in mathematical problem-solving, ensuring that the final answer is precise and reliable.
Problem Statement
The problem we need to solve is as follows: Luciana bought 2.50 meters of red ribbon, 245 centimeters of blue ribbon, and 1 meter and 35 centimeters of yellow ribbon. We need to calculate the total length of ribbon Luciana bought in meters. This problem requires us to convert all the lengths to the same unit (meters) before we can add them together. This is a common type of problem that involves unit conversion and addition, both of which are fundamental mathematical skills. Understanding how to solve this problem can help in various real-life situations, such as measuring materials for a project or calculating distances. The ability to convert units and perform basic arithmetic operations is essential for everyday tasks. By working through this problem, we will reinforce these skills and gain confidence in our ability to handle similar calculations. This problem also highlights the importance of paying attention to detail. We need to carefully note the different units used for each length and make sure to convert them correctly. A small mistake in the conversion can lead to a significant error in the final answer. Therefore, accuracy and precision are crucial when solving mathematical problems. This exercise provides an excellent opportunity to practice these skills and improve our overall mathematical proficiency. The challenge lies in correctly converting the lengths from centimeters to meters and then adding them together. Let's proceed step by step to ensure we arrive at the correct solution.
Step 1: Convert All Lengths to Meters
To solve this problem accurately, the first step is to convert all the given lengths into a common unit, which in this case is meters. Luciana bought ribbons in three different lengths: 2.50 meters of red ribbon, 245 centimeters of blue ribbon, and 1 meter and 35 centimeters of yellow ribbon. The red ribbon length is already in meters, so we don't need to convert it. However, we need to convert the blue and yellow ribbon lengths from centimeters to meters. To convert centimeters to meters, we use the conversion factor: 1 meter = 100 centimeters. Therefore, to convert 245 centimeters to meters, we divide 245 by 100. This gives us 245 cm = 245 / 100 = 2.45 meters. So, the length of the blue ribbon is 2.45 meters. Next, we need to convert the length of the yellow ribbon, which is given as 1 meter and 35 centimeters. The 1 meter part is already in the correct unit, so we only need to convert the 35 centimeters to meters. Again, we use the conversion factor: 35 cm = 35 / 100 = 0.35 meters. Now, we add this to the 1 meter, so the total length of the yellow ribbon is 1 meter + 0.35 meters = 1.35 meters. Now that we have converted all the lengths to meters, we have: Red ribbon: 2.50 meters Blue ribbon: 2.45 meters Yellow ribbon: 1.35 meters This conversion process is crucial because it ensures that we are adding quantities in the same units, which is necessary for accurate calculations. Neglecting this step can lead to incorrect results. Understanding unit conversions is a fundamental skill in mathematics and science, and it is essential for solving real-world problems. In this case, it allows us to compare and combine the lengths of the different ribbons Luciana purchased.
Step 2: Add the Lengths Together
Now that we have all the ribbon lengths in meters, we can add them together to find the total length of ribbon Luciana bought. We have the following lengths: Red ribbon: 2.50 meters Blue ribbon: 2.45 meters Yellow ribbon: 1.35 meters To find the total length, we add these three values: Total length = 2.50 meters + 2.45 meters + 1.35 meters Let's perform the addition: 2. 50 + 2.45 = 4.95 meters Now, add the length of the yellow ribbon: 3. 95 + 1.35 = 6.30 meters Therefore, the total length of ribbon Luciana bought is 6.30 meters. This addition is a straightforward arithmetic operation, but it's important to perform it carefully to avoid mistakes. Adding decimals requires aligning the decimal points and then adding the digits in each column. In this case, we have added three decimal numbers, and the result is also a decimal number. The final answer, 6.30 meters, represents the combined length of all the ribbons Luciana purchased. This result is crucial because it answers the original question: How many meters of ribbon did Luciana buy in total? Understanding how to add different lengths together is a fundamental skill in mathematics and has practical applications in various situations. Whether you're measuring fabric for a sewing project or calculating the total distance of a journey, the ability to add lengths is essential. This step highlights the importance of careful calculation and attention to detail to ensure accuracy in the final result. By adding the lengths of the ribbons in meters, we have successfully determined the total length Luciana purchased, providing a clear and concise answer to the problem.
Final Answer
After converting all lengths to meters and adding them together, we find that Luciana bought a total of 6.30 meters of ribbon. This is the final answer to the problem. To recap, we first converted the lengths of the blue and yellow ribbons from centimeters to meters. We did this by dividing the lengths in centimeters by 100, since there are 100 centimeters in a meter. This gave us 2.45 meters for the blue ribbon and 1.35 meters for the yellow ribbon. Then, we added the lengths of all three ribbons together: 2.50 meters (red) + 2.45 meters (blue) + 1.35 meters (yellow). The sum of these lengths is 6.30 meters. This final answer is the solution to the problem and represents the total length of ribbon Luciana purchased. Understanding how to solve this type of problem is valuable because it demonstrates practical mathematical skills that can be applied in everyday situations. Whether you're calculating the amount of fabric needed for a project, measuring distances, or combining different quantities, the ability to convert units and perform basic arithmetic operations is essential. This solution not only answers the specific question but also reinforces the importance of accuracy and attention to detail in mathematical problem-solving. A small mistake in the conversion or addition can lead to an incorrect final answer. Therefore, it's crucial to follow each step carefully and double-check your work to ensure the result is correct. The problem-solving process we followed in this article can be applied to other similar problems, making it a valuable skill to develop. By practicing these types of calculations, you can improve your mathematical proficiency and gain confidence in your ability to solve real-world problems.
Conclusion
In conclusion, we have successfully calculated the total length of ribbon Luciana purchased by converting all measurements to meters and then adding them together. This problem highlights the importance of unit conversion and basic arithmetic operations in practical situations. By following a step-by-step approach, we were able to accurately determine the total length of ribbon to be 6.30 meters. The process involved converting 245 centimeters to 2.45 meters and 1 meter and 35 centimeters to 1.35 meters. Then, we added these values to the 2.50 meters of red ribbon, resulting in the final answer. This exercise demonstrates how mathematical skills are essential for solving everyday problems. Whether you're measuring materials for a project, calculating distances, or combining different quantities, the ability to convert units and perform basic arithmetic is crucial. The key takeaway from this problem is the importance of accuracy and attention to detail. A small mistake in the conversion or addition can lead to a significant error in the final answer. Therefore, it's important to follow each step carefully and double-check your work to ensure the result is correct. Furthermore, this problem-solving process can be applied to other similar problems. By understanding the steps involved in unit conversion and addition, you can confidently tackle a wide range of mathematical challenges. Practicing these types of calculations will not only improve your mathematical skills but also enhance your problem-solving abilities in general. In summary, the problem of calculating the total ribbon length provides a valuable learning experience, demonstrating the practical application of mathematical concepts and the importance of precision in calculations. By mastering these skills, individuals can confidently handle similar problems in their daily lives, whether it's for academic purposes or practical applications.