Question

A field of 3.9 mi2 is being subdivided into 1.3×10^3 family gardens. How many square miles will there be in each garden? Write the answer in scientific notation

Answer 1

To find the number of square miles in each garden, we can divide the total area of the field by the number of gardens.

Total area = 3.9 mi^2
Number of gardens = 1.3×10^3

Square miles in each garden = Total area / Number of gardens

Square miles in each garden = 3.9 mi^2 / 1.3×10^3

To divide by 1.3×10^3, we divide the numerator (3.9) by 1.3, and the exponent of 10 will decrease by 3.

Square miles in each garden = 3.9 / 1.3 × 10^3
= 3 / 1 × 10^3
= 2.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 mi^2

In scientific notation, the answer is approximately 3.0 × 10^(-3) mi^2.