To find out how many square miles will be allocated to each family garden, you can divide the total area of the field by the number of gardens.
Given:
- Total area of the field = 3.9 square miles
- Number of family gardens = \( 1.3 \times 10^3 \) gardens
Now, calculate the area per garden:
\[ \text{Area per garden} = \frac{\text{Total area}}{\text{Number of gardens}} = \frac{3.9 , \text{mi}^2}{1.3 \times 10^3} \]
To perform the division, you can convert the denominator:
\[ 1.3 \times 10^3 = 1300 \]
Now perform the division:
\[ \text{Area per garden} = \frac{3.9}{1300} \]
Calculating this:
\[ \frac{3.9}{1300} \approx 0.003 \]
Now, convert 0.003 into scientific notation:
\[ 0.003 = 3.0 \times 10^{-3} \]
So, the area in each garden in scientific notation is:
\[ \boxed{3.0 \times 10^{-3}} \text{ square miles} \]
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