A tree is 73 inches tall. How tall is it in feet and inches?
The Correct answer and Explanation is:
To convert the height of a tree from inches to feet and inches, we start by recognizing that there are 12 inches in a foot. Given the height of the tree is 73 inches, we can divide this number by 12 to find the height in feet.
Step-by-Step Conversion:
- Divide the Total Inches by 12:
To find how many feet are in 73 inches, we perform the division:Feet=73 inches12 inches/foot=6.0833 feet\text{Feet} = \frac{73 \text{ inches}}{12 \text{ inches/foot}} = 6.0833 \text{ feet}Feet=12 inches/foot73 inches=6.0833 feetThis indicates that there are 6 full feet in 73 inches. - Calculate the Whole Number of Feet:
The whole number part of the calculation gives us the number of feet:6 feet6 \text{ feet}6 feet - Find the Remaining Inches:
To find the remaining inches, we can multiply the decimal part by 12:Remaining inches=0.0833×12≈1 inch\text{Remaining inches} = 0.0833 \times 12 \approx 1 \text{ inch}Remaining inches=0.0833×12≈1 inchThus, after 6 feet, there is approximately 1 inch left over. - Combine Feet and Inches:
Finally, we can express the total height in feet and inches:73 inches=6 feet+1 inch73 \text{ inches} = 6 \text{ feet} + 1 \text{ inch}73 inches=6 feet+1 inch
Conclusion:
Therefore, the height of the tree in feet and inches is 6 feet 1 inch.
Importance of Conversion:
Understanding how to convert between units of measurement, especially in everyday contexts such as height, is essential. The metric system (meters and centimeters) is commonly used globally, but in the United States, customary units like feet and inches are prevalent. Such conversions are necessary for various practical applications, including construction, landscaping, and general communication. Correctly expressing measurements ensures clarity and avoids misunderstandings, particularly in contexts where precision is crucial, such as in planning and design. Thus, mastering this skill not only aids in mathematical accuracy but also enhances effective communication in multiple fields.