5. An area that is 3.2 square miles will be divided into 1.6 x 10^3 lots. How big will each lot be in scientific notation? Show your work.

Answer 1

To find the size of each lot, we need to divide the area by the number of lots.

The area is given as 3.2 square miles.
The number of lots is given as 1.6 x 10^3.

To divide the area by the number of lots, we can write the division as follows:

(3.2 square miles) / (1.6 x 10^3 lots)

To divide the numbers, we divide the magnitudes (3.2 / 1.6) and subtract the exponents (10^3).

3.2 / 1.6 = 2

10^3 = 1000

Therefore, each lot will be (2 square miles) / (1000 lots) = 0.002 square miles.

In scientific notation, 0.002 can be written as 2 x 10^(-3).

So, each lot will be 2 x 10^(-3) square miles.