A tree is 118 inches tall. How tall is it in feet and inches? prodft in
The Correct Answer and Explanation is:
To convert a tree that is 118 inches tall into feet and inches, we follow these steps:
- Convert inches to feet: Since 1 foot equals 12 inches, we divide 118 inches by 12 to determine how many whole feet the tree is.118 inches÷12 inches/foot=9 feet and a remainder.\text{118 inches} ÷ \text{12 inches/foot} = 9 \text{ feet} \, \text{and a remainder}.118 inches÷12 inches/foot=9 feetand a remainder.This gives 9 feet with a remainder of 10 inches.
- Result: So, the tree is 9 feet 10 inches tall.
Explanation
When converting inches into feet and inches, it’s important to recognize that feet and inches are part of the U.S. customary system, where there are 12 inches in a foot. To perform the conversion from inches to feet, you divide the total inches by 12 (the number of inches in a foot) to determine how many whole feet fit into the given measurement. The remainder, after division, represents the leftover inches.
In this example, dividing 118 inches by 12 results in 9, with a remainder of 10. This means that 118 inches equals 9 full feet, with 10 inches remaining. The remainder is calculated by multiplying the whole number of feet (9 feet) by 12 (9 feet × 12 inches/foot = 108 inches), and then subtracting that from the original total (118 inches – 108 inches = 10 inches).
Thus, the final height is expressed as 9 feet 10 inches. This format is common in everyday measurements, especially when dealing with heights or lengths in the United States, where mixed measurements (feet and inches) are used instead of decimalized feet or just inches.
Understanding unit conversions between feet and inches is essential in many practical applications, such as construction, carpentry, and everyday measurement tasks.