An acre of land has an area of exactly 43,560 square feet.

Question

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

Answer 1

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).