A field of 3.9 mi is being subdivided into 1.3x10^3 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 need to divide the total area of 3.9 mi² by the number of gardens, which is 1.3x10^3.
Area of each garden = Total area / Number of gardens
Area of each garden = 3.9 mi² / 1.3x10^3
Area of each garden = 3.9 / 1.3 x 10^3 mi²
Area of each garden = 3 x 10^0 / 1.3 x 10^3 mi²
Area of each garden = (3 / 1.3) x (10^0 / 10^3) mi²
Area of each garden = 2.3076923076923076923076923076923 x 10^(-3) mi²
Therefore, there will be approximately 2.31 x 10^(-3) square miles in each garden.
To find the area of each garden, divide the total area of the field by the number of gardens.
Area of each garden = Area of the field / Number of gardens
The area of the field is given as 3.9 mi.
The number of gardens is given as 1.3x10^3.
Substituting these values into the formula:
Area of each garden = 3.9 mi / (1.3x10^3)
To divide by a number written in scientific notation, divide the non-scientific notation part and subtract the exponents:
Area of each garden = 3.9 / 1.3 x 10^(3-3)
Simplifying:
Area of each garden = 3 / 1 x 10^0
Since any number divided by 1 is the same number, we have:
Area of each garden = 3 x 10^0
Finally, any number multiplied by 10^0 is the same number, so:
Area of each garden = 3
Therefore, the area of each garden is 3 square miles in scientific notation.
To find the number of square miles in each garden, you need to divide the total area of the field by the number of gardens. Given that the field is 3.9 square miles and there are 1.3x10^3 gardens, you can express this calculation mathematically as:
Area of each garden = Total area of the field / Number of gardens
Area of each garden = 3.9 mi / 1.3x10^3 gardens
To divide by a number in scientific notation, you need to ensure that the exponents are the same. In this case, you can rewrite 3.9 mi as 3.9x10^0 mi, which means both numbers have the same exponent of 0.
Area of each garden = 3.9x10^0 mi / 1.3x10^3 gardens
To perform the division, you divide the numerical parts and subtract the exponents:
Area of each garden = (3.9/1.3) x (10^0 / 10^3) mi
Simplifying the division gives:
Area of each garden = 3.0 x 10^(-3) mi
Therefore, each garden will have an area of 3.0 x 10^(-3) square miles.