A field of 3.9 mi2 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 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).
Dividing 3.9 mi^2 by 1.3 × 10^3 can be done by dividing the numbers and subtracting the exponents:
3.9 mi^2 / (1.3 × 10^3) = (3.9 / 1.3) × (mi^2 / 10^3) = 3 mi^2 / 10^3
Since we have a power of 10^3 (or 1,000), we can rewrite this as:
3 mi^2 / 10^3 = 3 × 10^(-3) mi^2
So, each family garden will have an area of 3 × 10^(-3) square miles.
Therefore, the answer in scientific notation is 3 × 10^(-3) mi^2.
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 the area of the field from square miles to square feet since we know that:
1 square mile = 27,878,400 square feet.
So, the area of the field in square feet would be:
3.9 mi^2 × 27,878,400 ft^2/mi^2 = 108,547,200 ft^2.
Now, we can divide the area of the field by the number of gardens:
108,547,200 ft^2 ÷ 1.3×10^3 gardens = 83,499.38 ft^2 per garden.
To express this answer in scientific notation, we need to move the decimal point three places to the left and adjust the exponent accordingly:
8.349938 × 10^4 ft^2 per garden.
Finally, let's convert the area from square feet to square miles by dividing by the conversion factor:
8.349938 × 10^4 ft^2 ÷ 27,878,400 ft^2/mi^2 = 2.99 × 10^-3 mi^2 per garden.
Therefore, there will be approximately 2.99 × 10^-3 square miles in each garden.
To find the number of square miles in each garden, we can divide the total area of the field by the number of gardens.
Total area = 3.9 mi^2
Number of gardens = 1.3×10^3
Square miles in each garden = Total area / Number of gardens
Square miles in each garden = 3.9 mi^2 / 1.3×10^3
To divide by 1.3×10^3, we divide the numerator (3.9) by 1.3, and the exponent of 10 will decrease by 3.
Square miles in each garden = 3.9 / 1.3 × 10^3
= 3 / 1 × 10^3
= 2.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 mi^2
In scientific notation, the answer is approximately 3.0 × 10^(-3) mi^2.