A field of 3.9 mi^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 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).
3.9 mi^2 ÷ 1.3*10^3
To perform the division in scientific notation, we divide the numbers and subtract the exponents:
(3.9 ÷ 1.3) * 10^(2-3)
= 3 * 10^(-1)
= 3 * 0.1
= 0.3
Therefore, each garden will have an area of 0.3 square miles. In scientific notation, this is written as 3 * 10^(-1) mi^2.
Are you sure?
Apologies for the mistake.
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).
3.9 mi^2 ÷ (1.3*10^3)
To divide in standard notation, we divide the numbers:
3.9 ÷ 1.3 = 3
To divide the exponents, we subtract:
10^3 ÷ 10^3 = 1
So, the result is 3 mi^2. In scientific notation, this can be written as 3 * 10^0 mi^2.
positive?
Apologies for the confusion.
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).
3.9 mi^2 ÷ (1.3*10^3)
To divide in scientific notation, we divide the numbers and subtract the exponents:
(3.9 ÷ 1.3) * 10^(0-3)
= 3 * 10^(-3)
= 3 * 0.001
= 0.003
Therefore, each garden will have an area of 0.003 square miles. In scientific notation, this is written as 3 * 10^(-3) mi^2.
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.
Step 1: Convert the area of the field to square feet (since 1 mile = 5280 feet).
Area of the field = 3.9 mi^2
1 mi^2 = (5280 ft)^2 = 27,878,400 ft^2
Therefore, the area of the field = 3.9 mi^2 * 27,878,400 ft^2/mi^2 = 108,307,200 ft^2
Step 2: Divide the total area of the field by the number of family gardens.
Number of family gardens = 1.3 * 10^3
Area per garden = 108,307,200 ft^2 / (1.3 * 10^3 gardens)
Step 3: Convert the area per garden from square feet to square miles.
1 mi^2 = 27,878,400 ft^2
Area per garden = (108,307,200 ft^2)/(27,878,400 ft^2/mi^2)
Area per garden = 3.88 mi^2
The area per garden is approximately 3.88 square miles, which can be written in scientific notation as 3.88 x 10^0 mi^2.