A field of 3.9 mi^2 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.(1 point)

Answer 1

To find the area of each garden, divide the total area of the field by the number of gardens:

Area of each garden = Area of field / Number of gardens

Area of each garden = 3.9 mi^2 / 1.3×10^3

Now, express 3.9 mi^2 and 1.3×10^3 in scientific notation:

3.9 mi^2 = 3.9 x 10^0 mi^2

1.3×10^3 = 1.3 x 10^3

Dividing the two values, we have:

Area of each garden = 3.9 x 10^0 mi^2 / 1.3 x 10^3

Now, divide the numbers and subtract the exponents:

Area of each garden = (3.9 / 1.3) x 10^0+3

Simplifying the numerator, we get:

Area of each garden = 3 x 10^0+3

Finally, combining the exponents, we have:

Area of each garden = 3 x 10^3

Therefore, there will be 3 x 10^3 square miles in each garden, written in scientific notation.