Conversions involving measurements in feet and inches A board is 82 inches long. How long is it in feet and inches?
The Correct Answer and Explanation is :
To convert 82 inches into feet and inches, we need to remember that there are 12 inches in a foot.
Conversion Process:
- Divide the Total Inches by 12:
We start by dividing 82 by 12 to find out how many full feet are in 82 inches. [
82 \div 12 = 6 \text{ feet} \text{ (with a remainder)}
] The quotient (whole number) gives us the number of feet, which is 6. - Calculate the Remainder:
Next, we find the remainder to determine how many additional inches are left after converting to feet. To find the remainder, we multiply the number of feet (6) by 12 and then subtract that from the total inches: [
6 \times 12 = 72 \text{ inches}
]
[
82 – 72 = 10 \text{ inches}
] - Final Result:
After calculating, we find that 82 inches is equivalent to 6 feet and 10 inches. Therefore, the final answer is:
[
82 \text{ inches} = 6 \text{ feet} \text{ and } 10 \text{ inches}
]
Explanation:
Understanding measurements in feet and inches is crucial, especially in fields like construction, healthcare, and various DIY projects. Inches are often used for smaller measurements, while feet are more practical for larger ones. This conversion is not only useful for accurately interpreting lengths but also for ensuring that materials fit together correctly.
Being able to convert measurements accurately can prevent mistakes that might arise from miscalculating sizes. For instance, when measuring a board for a project, knowing the exact length in feet and inches allows for better planning and execution. Additionally, familiarity with these conversions enhances one’s ability to communicate effectively, as different people or regions might prefer different units of measure. Understanding these conversions helps in maintaining clarity and precision in various contexts.