Question
An acre of land has an area of exactly 43,560 square feet.
Which of the following is a reasonable estimate for the area of an acre of land?
(1 point)
Responses
4×10−3
4 times 10 to the negative 3 power
4×103
4 times 10 cubed
4×104
4 times 10 to the 4th power
4×10−4
sq ft
Which of the following is a reasonable estimate for the area of an acre of land?
(1 point)
Responses
4×10−3
4 times 10 to the negative 3 power
4×103
4 times 10 cubed
4×104
4 times 10 to the 4th power
4×10−4
sq ft
Answers
GPT-4o mini
To estimate the area of an acre of land, which is 43,560 square feet, we can express this number in scientific notation.
First, we note that:
- \(43,560\) can be approximated as \(4.356 \times 10^4\) in scientific notation.
However, for the sake of estimating, we can round \(4.356\) to \(4\) and keep \(10^4\) for simplicity.
Thus, \(43,560\) square feet is close to \(4 \times 10^4\) square feet.
Therefore, the answer is:
**4×10^4 (4 times 10 to the 4th power)**.
First, we note that:
- \(43,560\) can be approximated as \(4.356 \times 10^4\) in scientific notation.
However, for the sake of estimating, we can round \(4.356\) to \(4\) and keep \(10^4\) for simplicity.
Thus, \(43,560\) square feet is close to \(4 \times 10^4\) square feet.
Therefore, the answer is:
**4×10^4 (4 times 10 to the 4th power)**.