The area of a closet is 100 square feet. Write the number in exponent form and in word form
The Correct Answer and Explanation is :
The correct answer is: One hundred square feet.
To express the area of the closet in exponent form and word form, we can represent the number (100) as follows:
Exponent Form:
[
100 = 10^2
]
Word Form:
One hundred square feet.
Explanation
The area of a closet or any two-dimensional space can be represented as a product of its length and width. For example, if a closet has a length of (10) feet and a width of (10) feet, the area can be calculated using the formula:
[
\text{Area} = \text{Length} \times \text{Width}
]
In this case:
[
\text{Area} = 10 \, \text{ft} \times 10 \, \text{ft} = 100 \, \text{ft}^2
]
When we express (100) in exponent form, we look for a base and an exponent that give us (100). The number (100) can be written as (10 \times 10) or (10^2). The base (10) represents the units of measurement (in feet), and the exponent (2) indicates that both dimensions (length and width) are the same, reflecting the two-dimensional nature of area measurement.
In word form, we write “one hundred square feet” to clearly convey the area measurement. The term “square feet” indicates that the area is measured in two dimensions, which is essential when discussing areas in a spatial context, such as the size of a closet.
Understanding areas and their representations is crucial in fields like architecture, interior design, and real estate, as it helps in planning space usage effectively. This knowledge also aids in making informed decisions regarding storage solutions and furniture arrangements within the closet space.
In summary, representing (100) as (10^2) in exponent form and “one hundred square feet” in word form provides a clear and concise understanding of the area of the closet.