a field of 3.9 mi^2 is being subdivided into 1.3 x 10^3 family gardens. How many square miles will be in each garden? write the answer in scientific notation.
To find the area of each garden, we divide the total area of the field (in square miles) by the number of gardens.
Area of each garden = (Total area of the field) / (Number of gardens)
= 3.9 mi^2 / (1.3 x 10^3)
To simplify the expression, we divide the numerator and denominator by 1.3:
= (3.9 / 1.3) mi^2 / 10^3
Simplifying the numerator:
= 3 mi^2 / 10^3
To write the answer in scientific notation, we express it as:
= 3 x 10^(-3) mi^2
Therefore, each garden will have an area of 3 x 10^(-3) square miles.