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 area of each garden, we need to divide the total area of the field (3.9 mi²) by the number of gardens (1.3×10^3):

Area of each garden = Total area of the field / Number of gardens
Area of each garden = 3.9 mi² / 1.3×10^3

Now, we can simplify the division by writing the total area in scientific notation:

Area of each garden = (3.9 × 10^0) mi² / 1.3×10^3

To divide two numbers in scientific notation, we subtract the exponents and divide the coefficients:

Area of each garden = (3.9 / 1.3) × 10^(0 - 3)

Simplifying the division of the coefficients:

Area of each garden = 3 × 10^(-3)

Therefore, each family garden will have an area of 3 × 10^(-3) square miles.