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.(1 point)
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 field / Number of gardens
Area of each garden = 3.9 mi^2 / 1.3×10^3
Now, express 3.9 mi^2 and 1.3×10^3 in scientific notation:
3.9 mi^2 = 3.9 x 10^0 mi^2
1.3×10^3 = 1.3 x 10^3
Dividing the two values, we have:
Area of each garden = 3.9 x 10^0 mi^2 / 1.3 x 10^3
Now, divide the numbers and subtract the exponents:
Area of each garden = (3.9 / 1.3) x 10^0+3
Simplifying the numerator, we get:
Area of each garden = 3 x 10^0+3
Finally, combining the exponents, we have:
Area of each garden = 3 x 10^3
Therefore, there will be 3 x 10^3 square miles in each garden, written 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.
1. Convert 3.9 mi^2 to scientific notation:
3.9 mi^2 = 3.9 × 10^0 mi^2
2. Divide the total area by the number of gardens:
(3.9 × 10^0 mi^2) / (1.3 × 10^3 gardens)
3. Divide the coefficients (3.9 ÷ 1.3) and subtract the exponents (0 - 3):
(3.9 ÷ 1.3) × 10^(0 - 3)
4. Simplify the coefficient (3.9 ÷ 1.3 = 3):
3 × 10^(0 - 3)
5. Subtract the exponents (0 - 3 = -3):
3 × 10^(-3)
Therefore, each garden will have an area of 3 × 10^(-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 family gardens.
Given:
Field area: 3.9 mi^2
Number of family gardens: 1.3×10^3
To divide the field area by the number of gardens, simply divide the numbers and subtract the exponents:
3.9 mi^2 / (1.3×10^3) = 3.9 / 1.3 × 10^(2-3)
Simplifying the division:
3.9 / 1.3 = 3.0
10^(2-3) = 10^(-1) = 0.1
Combining the two results:
3.0 × 0.1 = 0.3
Therefore, each garden will have an area of 0.3 square miles.
Writing the answer in scientific notation, we can express 0.3 as 3 × 10^(-1).