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.
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.
Total area of the field = 3.9 mi^2
Number of gardens = 1.3 × 10^3
To divide the area by the number of gardens, we can use the following formula:
Area of each garden = Total area / Number of gardens
Substituting the given values into the formula, we have:
Area of each garden = 3.9 mi^2 / (1.3 × 10^3)
To divide by 1.3 × 10^3, we can rewrite it as a fraction:
Area of each garden = 3.9 mi^2 / (1.3 × 10^3/1)
Dividing a fraction is the same as multiplying by the reciprocal of the fraction, so we can rewrite the division as a multiplication:
Area of each garden = 3.9 mi^2 × (1/1.3 × 10^3)
Multiplying the numbers, we get:
Area of each garden = 3.9 mi^2 × 1/1.3 × 10^3
= 3.9/1.3 × 10^3 mi^2
Simplifying the fraction, we have:
Area of each garden = 3 mi^2 × 10^3 mi^2
Therefore, the number of square miles in each garden 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.
Total area of the field = 3.9 mi²
Number of family gardens = 1.3 × 10^3 gardens
Square miles in each garden = Total area of the field / Number of gardens
= 3.9 mi² / 1.3 × 10^3 gardens
To divide by 1.3 × 10^3, we can divide by 1.3 and then multiply by 10^3.
Square miles in each garden = 3.9 mi² / 1.3 × 10^3 gardens
= (3.9 mi² / 1.3) × 10^3 gardens
= 3 mi² × 10^3 gardens
The answer in scientific notation is 3 × 10^3 mi².
To find out how many square miles there will be in each garden, you need to divide the total area of the field by the number of family gardens.
Step 1: Write down the given values:
Total field area = 3.9 mi^2
Number of family gardens = 1.3 × 10^3
Step 2: Divide the total field area by the number of family gardens:
3.9 mi^2 / (1.3 × 10^3) = 3.9 / 1.3 × 10^3 mi^2
Step 3: Simplify the division:
3.9 / 1.3 = 3 mi^2
Step 4: Convert the answer to scientific notation:
3 mi^2 can be written as 3 × 10^0 mi^2.
Therefore, there will be approximately 3 × 10^0 square miles in each family garden.