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.
To find the area of each garden, we divide the total area by the number of gardens:
Area of each garden = Total area / Number of gardens = 3.9 mi^2 / 1.3×10^3 = (3.9 / 1.3) mi^2 / (10^3) = 3.0 × 10^(-2) mi^2.
Therefore, each garden will have an area of 3.0 × 10^(-2) square miles in scientific notation.
To find the number of square miles in each garden, we need to divide the total area of the field by the number of gardens.
First, let's convert 1.3×10^3 to decimal form:
1.3×10^3 = 1.3 * 1000 = 1300
Now, we can calculate the area of each garden by dividing the total area of the field by the number of gardens:
Area of each garden = Total area / Number of gardens
Area of each garden = 3.9 mi^2 / 1300
Area of each garden = 0.003 mi^2
In scientific notation, this would be written as 3.0×10^(-3) mi^2.
To find the number of square miles in each garden, we need to divide the total area of the field (3.9 mi^2) by the number of gardens (1.3×10^3).
First, let's convert the given number of gardens from scientific notation to standard notation:
1.3×10^3 = 1.3 * 10 * 10 * 10 = 1,300
Next, divide the total area of the field by the number of gardens to find the area of each garden:
3.9 mi^2 ÷ 1,300 gardens = 0.003 mi^2
Finally, let's express our answer in scientific notation:
0.003 mi^2 = 3×10^-3 mi^2
Therefore, each garden will have an area of 3×10^-3 square miles.