A field of 3.9 mi
is being subdivided into 1.3 x 103 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, divide the total area (3.9 mi^2) by the number of gardens (1.3 x 10^3):
Area of each garden = 3.9 mi^2 / 1.3 x 10^3 = 2.999... x 10^-3 mi^2
The answer in scientific notation is 2.999... x 10^-3 mi^2.
To find the number of square miles in each garden, we need to divide the total area (3.9 mi^2) by the number of gardens (1.3 x 10^3).
Step 1: Divide the total area by the number of gardens:
3.9 mi^2 / (1.3 x 10^3) = 3.9 / 1.3 x 10^3
Step 2: Simplify the division:
3.9 / 1.3 = 3
Step 3: Write the answer in scientific notation:
3 x 10^0 mi^2
Therefore, there will be 3 x 10^0 (which is simplified to just 3) square miles in each garden.
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, we convert the area of the field from miles to square miles by squaring the length:
Area of the field = (Length of the field)^2
Given that the field has a length of 3.9 miles, the area of the field is:
Area of the field = (3.9 mi)^2 = 15.21 mi^2
Next, we divide the area of the field by the number of family gardens to find the area of each garden:
Area of each garden = Area of the field / Number of gardens
Area of each garden = 15.21 mi^2 / (1.3 x 10^3 gardens)
Now we can rewrite the given value in scientific notation by moving the decimal point after the first digit:
1.3 x 10^3 = 1.3 x 1000 = 1300
Using this value, we can calculate the area of each garden:
Area of each garden = 15.21 mi^2 / 1300
Calculating this division gives us:
Area of each garden ≈ 0.0117 mi^2
Therefore, each family garden will have approximately 0.0117 square miles of area.
In scientific notation, this answer can be written as 1.17 x 10^(-2) mi^2.