A Field of 3.9 mi^2 is being subdivided into 1.3 times 10^3 family gardens. How many square miles will there be in each garden? Write the answer scientific notation.
To find the area of each garden, we need to divide the total area of the field by the number of family gardens.
Area of each garden = Area of the field / Number of family gardens
= 3.9 mi^2 / (1.3 × 10^3)
To divide by 1.3 × 10^3, we can simply divide the numerator (3.9) by the denominator (1.3) and divide the exponent of 10 (2) by the exponent of 10 (3). This gives us:
Area of each garden = 3.9 mi^2 / 1.3
= 3 mi^2
In scientific notation, this can be written as 3 × 10^0 mi^2, as 3 can also be represented as 3 × 10^0.
Therefore, there will be 3 × 10^0, or 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 (3.9 mi^2) by the number of gardens (1.3 × 10^3).
To divide 3.9 mi^2 by 1.3 × 10^3, we divide the coefficients and subtract the exponents.
3.9 mi^2 / (1.3 × 10^3) =
3.9 / 1.3 × 10^3 =
3 × 10^0 / 1 × 10^3 =
3 / 1 × 10^(0-3) =
3 × 10^(-3) =
0.003 mi^2
Therefore, there will be 0.003 square miles in each garden.
To find out how many square miles there will be in each garden, we need to divide the total area of the field by the number of family gardens.
First, let's convert 1.3 times 10^3 to standard notation: 1.3 × 10^3 = 1,300.
Next, we divide the total area of the field, 3.9 mi^2, by the number of family gardens, 1,300.
3.9 mi^2 / 1,300 = 0.003 mi^2
However, the question asks for the answer in scientific notation. We can convert 0.003 to scientific notation by moving the decimal point to the right until we have a number between 1 and 10. Each movement to the right increases the exponent by 1.
0.003 = 3 × 10^(-3)
So, there will be 3 × 10^(-3) square miles in each garden.