A field of 3.9 mi? is being subdivided into 1.3 × 10 family gardens. How many square miles will there be in each garden? Write the answer in scientific notation. (1 point)

Answer 1

To find the number of square miles in each garden, we divide the total area of the field by the number of gardens:

Area of field = 3.9 mi²
Number of gardens = 1.3 × 10

Square miles in each garden = Area of field / Number of gardens

Square miles in each garden = 3.9 mi² / 1.3 × 10

To divide by 1.3 × 10, we can convert it to scientific notation:

1.3 × 10 = 1.3 × 10^1

We can rewrite the division using scientific notation:

Square miles in each garden = 3.9 mi² / 1.3 × 10^1

Now we can simplify the division:

Square miles in each garden = 3.9 mi² / 1.3 × 10^1
= 3 mi² / 1.3
= 2.769230769230769 mi²

The number of square miles in each garden is 2.769230769230769 mi², which can be written in scientific notation as 2.77 × 10^0 mi².