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)
To find the number of square miles in each garden, you need to divide the total area of the field (3.9 mi²) by the number of gardens (1.3 × 10).
To do this, divide 3.9 by 1.3:
3.9 mi² ÷ 1.3 = 3 mi²
Now, since the question asks for the answer in scientific notation, we need to express the answer as a number between 1 and 10 multiplied by a power of 10. In this case, 3 can be represented as 3 × 10^0 in scientific notation.
Therefore, the answer is 3 × 10^0 mi².
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.
To find out how many square miles there will be 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 gardens = 1.3 × 10
To perform the division, we can divide the total area of the field by the number of gardens:
(3.9 mi²) / (1.3 × 10) = 3.9 mi² / 13
Simplifying the expression:
3.9 mi² / 13 ≈ 0.3 mi²
Therefore, there will be approximately 0.3 square miles in each garden.
In scientific notation, this can be written as:
0.3 mi² ≈ 3 × 10^-1 mi²