A Field of 3.9 mi^2 is being subdivided into 1.3 times 10^3 family gardens. How many square miles will there be in each garden? Write the answer scientific notation.

Answer 1

To find the area of each garden, we need to divide the total area of the field by the number of family gardens.

Area of each garden = Area of the field / Number of family gardens
= 3.9 mi^2 / (1.3 × 10^3)

To divide by 1.3 × 10^3, we can simply divide the numerator (3.9) by the denominator (1.3) and divide the exponent of 10 (2) by the exponent of 10 (3). This gives us:

Area of each garden = 3.9 mi^2 / 1.3
= 3 mi^2

In scientific notation, this can be written as 3 × 10^0 mi^2, as 3 can also be represented as 3 × 10^0.

Therefore, there will be 3 × 10^0, or 3 square miles, in each garden.