A field of 3.9 mi2 is being subdivided into 1.3×103 family gardens. How many square miles will there be in each garden? Write the answer in scientific notation.(1 point)
To find the number of square miles in each garden, we need to divide the total area 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
= 3.9 mi^2 / 1.3×10^3
To write the answer in scientific notation, we divide the numerator and denominator by 10^3:
Square miles in each garden = 3.9 mi^2 / 1.3×10^3
= 3.9 / (1.3×10^3/10^3) mi^2
= 3.9 / 1.3 mi^2
= 3 mi^2
Therefore, there will be 3 square miles in each garden.
in scientific notation
To write the answer in scientific notation, we can express 3 square miles as 3 x 10^0 square miles.
Therefore, there will be 3 x 10^0 square miles in each garden.
To find the number of square miles in each garden, 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
Area in each garden = Total area / Number of gardens
Area in each garden = 3.9 mi^2 / 1.3 × 10^3
To simplify the calculation, let's first divide the numerator and denominator by 1.3:
Area in each garden = 3.9 mi^2 / 1.3 × 10^3
Area in each garden = 3 mi^2 / 10^3
Now we have the area in each garden as 3 mi^2 divided by 10^3.
To express this in scientific notation, we can rewrite 10^3 as 1 × 10^3:
Area in each garden = 3 mi^2 / 10^3
Area in each garden = 3 mi^2 / (1 × 10^3)
Using the rule that dividing by 10^3 is equivalent to moving the decimal point 3 places to the left, the area in each garden is:
Area in each garden = 0.003 mi^2
In scientific notation, 0.003 can be written as 3 × 10^-3:
Area in each garden = 3 × 10^-3 mi^2
To find out how many square miles will be in each garden, you need to divide the total area of the field by the number of gardens.
Step 1: Given information
Total field area = 3.9 mi^2
Number of gardens = 1.3 x 10^3
Step 2: Calculation
Divide the total field area by the number of gardens:
3.9 mi^2 / (1.3 x 10^3) = 3.9 mi^2 / 1300 = 0.003 mi^2
Step 3: Writing the answer in scientific notation
The result, 0.003 mi^2, can be written as 3 x 10^(-3) mi^2.
So, there will be 3 x 10^(-3) square miles in each garden.