A field of 3.9mi^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.
To find the area of each garden, we divide the total area of the field by the number of gardens:
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 x 10^3) gardens
Dividing 3.9 by 1.3, we get:
Area of each garden = 3 / 1.3 mi^2
Now, let's convert the result into scientific notation. 3 divided by 1.3 is approximately equal to 2.3076923076923075. Written in scientific notation, this value is 2.31 x 1.
Therefore, each garden will have an area of 2.31 mi^2 (rounded to two decimal places).
To find the number of square miles in each garden, divide the total area of the field by the number of gardens.
Field area = 3.9 mi²
Number of gardens = 1.3 x 10^3
Dividing the field area by the number of gardens:
Area per garden = 3.9 mi² / (1.3 x 10^3)
To divide by a number in scientific notation, we divide the numerical values and subtract the exponents:
Area per garden = 3.9 mi² / 1.3 = 3 mi²
10^3 = 1,000
So, there will be 3 square miles in each garden. This can be written in scientific notation as 3 x 10^0 mi².
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. In this case, we divide 3.9 mi^2 by 1.3 * 10^3 family gardens.
To perform the division, we simply divide the numerical values and subtract the exponents of the units.
Dividing 3.9 mi^2 by 1.3 * 10^3 is equivalent to dividing 3.9 by 1.3 and subtracting the exponents:
3.9 / 1.3 = 3
mi^2 / 10^3 = mi^2 * 10^-3 = mi^2 * 0.001 = mi^2 * 1/1000 = mi^2 / 1000
Putting it all together, we have:
3.9 mi^2 / 1.3 * 10^3 = 3 mi^2 / 1000
Now, to express the answer in scientific notation, we can rewrite the division as:
3 * 10^0 mi^2 / 10^3 = 3 * 10^(0-3) mi^2 = 3 * 10^-3 mi^2
Therefore, each garden will have an area of 3 * 10^-3 square miles (in scientific notation).