Which Value Completes The Expression For Converting 72 Inches To Yards? Circle Your Answer And Show Your Work Or Explain Your Thinking.$[ \left(\frac{72 \text{ Inches}}{1}\right)\left(\frac{1 \text{ Yard}}{36 \text{
Introduction
Converting units of measurement is a fundamental concept in mathematics, and it plays a crucial role in various fields such as science, engineering, and everyday life. In this article, we will focus on converting inches to yards, a common unit conversion problem. We will use mathematical expressions to solve this problem and provide a step-by-step explanation of the process.
Understanding the Problem
The problem requires us to convert 72 inches to yards. To do this, we need to use the conversion factor between inches and yards. We know that 1 yard is equal to 36 inches. Therefore, we can set up a proportion to convert 72 inches to yards.
Setting Up the Proportion
To set up the proportion, we need to identify the given information and the unknown quantity. In this case, the given information is 72 inches, and the unknown quantity is the equivalent value in yards. We can set up the proportion as follows:
Simplifying the Expression
To simplify the expression, we need to cancel out the common factors in the numerator and denominator. In this case, the common factor is inches. We can cancel out the inches in the numerator and denominator as follows:
Evaluating the Expression
Now that we have simplified the expression, we can evaluate it to find the equivalent value in yards. To do this, we need to divide 72 by 36.
Conclusion
Therefore, the value that completes the expression for converting 72 inches to yards is 2. This means that 72 inches is equivalent to 2 yards.
Real-World Applications
Converting units of measurement is a common problem in various fields such as science, engineering, and everyday life. For example, in construction, architects need to convert measurements from inches to yards to ensure that the building is constructed to the correct scale. In manufacturing, engineers need to convert measurements from inches to yards to ensure that the products are manufactured to the correct specifications.
Tips and Tricks
When converting units of measurement, it is essential to use the correct conversion factors. In this case, we used the conversion factor of 1 yard = 36 inches. It is also essential to simplify the expression by canceling out common factors in the numerator and denominator.
Common Mistakes
When converting units of measurement, it is common to make mistakes such as:
- Using the wrong conversion factor
- Not simplifying the expression
- Not canceling out common factors in the numerator and denominator
Conclusion
Converting inches to yards is a simple mathematical problem that requires the use of conversion factors and proportions. By following the steps outlined in this article, you can easily convert inches to yards and apply this knowledge to real-world problems.
Frequently Asked Questions
Q: What is the conversion factor between inches and yards?
A: The conversion factor between inches and yards is 1 yard = 36 inches.
Q: How do I convert 72 inches to yards?
A: To convert 72 inches to yards, you need to set up a proportion using the conversion factor and simplify the expression by canceling out common factors in the numerator and denominator.
Q: What is the equivalent value of 72 inches in yards?
A: The equivalent value of 72 inches in yards is 2.
Q: Why is it essential to use the correct conversion factor when converting units of measurement?
A: It is essential to use the correct conversion factor when converting units of measurement to ensure that the results are accurate and reliable.
Q: What are some common mistakes to avoid when converting units of measurement?
A: Some common mistakes to avoid when converting units of measurement include using the wrong conversion factor, not simplifying the expression, and not canceling out common factors in the numerator and denominator.
Introduction
Converting units of measurement is a fundamental concept in mathematics, and it plays a crucial role in various fields such as science, engineering, and everyday life. In our previous article, we discussed how to convert inches to yards using mathematical expressions. In this article, we will provide a Q&A section to address common questions and concerns related to converting inches to yards.
Q&A Section
Q: What is the conversion factor between inches and yards?
A: The conversion factor between inches and yards is 1 yard = 36 inches. This means that 1 yard is equal to 36 inches.
Q: How do I convert 72 inches to yards?
A: To convert 72 inches to yards, you need to set up a proportion using the conversion factor and simplify the expression by canceling out common factors in the numerator and denominator. The steps are as follows:
- Set up the proportion:
- Simplify the expression:
- Evaluate the expression:
Q: What is the equivalent value of 72 inches in yards?
A: The equivalent value of 72 inches in yards is 2.
Q: Why is it essential to use the correct conversion factor when converting units of measurement?
A: It is essential to use the correct conversion factor when converting units of measurement to ensure that the results are accurate and reliable. Using the wrong conversion factor can lead to incorrect results, which can have serious consequences in various fields such as science, engineering, and everyday life.
Q: What are some common mistakes to avoid when converting units of measurement?
A: Some common mistakes to avoid when converting units of measurement include:
- Using the wrong conversion factor
- Not simplifying the expression
- Not canceling out common factors in the numerator and denominator
- Not checking the units of measurement
Q: How do I check the units of measurement?
A: To check the units of measurement, you need to ensure that the units of measurement in the numerator and denominator are the same. In this case, the units of measurement are inches and yards. You can check the units of measurement by looking at the conversion factor and the expression.
Q: What is the difference between inches and yards?
A: Inches and yards are two different units of measurement. Inches are a smaller unit of measurement, while yards are a larger unit of measurement. 1 yard is equal to 36 inches.
Q: Can I convert other units of measurement using the same method?
A: Yes, you can convert other units of measurement using the same method. However, you need to use the correct conversion factor and simplify the expression by canceling out common factors in the numerator and denominator.
Q: How do I find the conversion factor between two units of measurement?
A: To find the conversion factor between two units of measurement, you need to know the relationship between the two units of measurement. For example, if you know that 1 yard is equal to 36 inches, you can use this information to find the conversion factor.
Q: What are some real-world applications of converting units of measurement?
A: Some real-world applications of converting units of measurement include:
- Construction: Architects need to convert measurements from inches to yards to ensure that the building is constructed to the correct scale.
- Manufacturing: Engineers need to convert measurements from inches to yards to ensure that the products are manufactured to the correct specifications.
- Science: Scientists need to convert measurements from inches to yards to ensure that the results are accurate and reliable.
Conclusion
Converting inches to yards is a simple mathematical problem that requires the use of conversion factors and proportions. By following the steps outlined in this article, you can easily convert inches to yards and apply this knowledge to real-world problems. Remember to use the correct conversion factor, simplify the expression, and check the units of measurement to ensure that the results are accurate and reliable.