Question

a filed of 3.9mi^2 being subdivided into 1.3x10^3 family garden in scitific notation

Answer 1

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

1. **Convert the total area from square miles to square feet** (if necessary) or use it as is:

- 1 square mile = \( 27,878,400 \) square feet.
- \( 3.9 \, \text{mi}^2 = 3.9 \times 27,878,400 \, \text{ft}^2 \).

However, if we want to stay in square miles (as the number of gardens is given), we can keep the total area as \( 3.9 \, \text{mi}^2 \).

2. **Given**: The number of family gardens is \( 1.3 \times 10^3 \).

3. **Divide the total area by the number of gardens**:
\[
\text{Area per garden} = \frac{3.9 \, \text{mi}^2}{1.3 \times 10^3}
\]

4. **Calculate the division**:
\[
= 3.9 \div 1.3 \, \text{mi}^2 / \text{gardens} \times 10^{-3}
\]
\[
= 3.0 \times 10^0 \, \text{mi}^2 / \text{garden} \times 10^{-3} = 3.0 \times 10^{-3} \, \text{mi}^2 / \text{garden}
\]

So, the area of each family garden is:

\[
\text{Area per garden} = 3.0 \times 10^{-3} \, \text{mi}^2
\]

Thus, each family garden is \( 3.0 \times 10^{-3} \, \text{mi}^2 \).