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)
To find the square miles in each garden, we can divide the total area of the field (3.9 mi^2) by the number of gardens (1.3×10^3).
3.9 mi^2 / (1.3×10^3) = (3.9 / 1.3) x (1/10^3) = 3.0 x 10^-3 mi^2
Therefore, there will be 3.0 x 10^-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.
Given that the field has an area of 3.9 mi^2 and there are 1.3×10^3 gardens, we can set up the equation:
Area of each garden = Total area of the field / Number of gardens
Plugging in the values, we have:
Area of each garden = 3.9 mi^2 / 1.3×10^3
To simplify the expression, we divide the numerator and denominator by 1.3:
Area of each garden = (3.9 mi^2 / 1.3) / (1×10^3)
Simplifying further, we can divide 3.9 by 1.3:
Area of each garden = 3.9 mi^2 / 1.3 ≈ 3 mi^2
Therefore, each garden will have an area of approximately 3 mi^2.
The answer written in scientific notation is 3×10^0 mi^2.
To find the number of square miles in each garden, we can divide the total area of the field by the number of gardens.
First, we need to convert 3.9 mi^2 to scientific notation. Since 3.9 is already in decimal form, we can rewrite it as 3.9 × 10^0.
Now, let's divide the total area by the number of gardens:
(3.9 × 10^0) ÷ (1.3 × 10^3)
When dividing numbers in scientific notation, we subtract the exponents.
The division becomes:
3.9 ÷ 1.3 = 3
Since the exponents are different, we subtract them:
10^0 ÷ 10^3 = 10^(0-3) = 10^(-3)
Putting it all together, we have:
3 × 10^(-3) = 3 × 0.001 = 0.003
Therefore, each garden will have an area of 0.003 mi^2.
In scientific notation, this can be written as 3 × 10^(-3) mi^2.