Question

Field 3.9 miles squared being subdivided into 1.3 times 10^3 family gardens. How many square miles will there be in each garden write in scientific notation

Answer 1

To find out how many square miles will be in each family garden, you need to divide the total area of the field by the number of gardens.

1. **Total Area of the Field**: \( 3.9 \) square miles
2. **Number of Gardens**: \( 1.3 \times 10^3 = 1300 \)

Now, divide the total area by the number of gardens:

\[
\text{Area per garden} = \frac{3.9 \text{ square miles}}{1300 \text{ gardens}}
\]

Calculating this gives:

\[
\text{Area per garden} = \frac{3.9}{1300} \text{ square miles}
\]

To simplify \( \frac{3.9}{1300} \):

- Calculate \( 3.9 \div 1300 \):

\[
3.9 \div 1300 = 0.003
\]

Now convert \( 0.003 \) to scientific notation:

\[
0.003 = 3.0 \times 10^{-3}
\]

So, the area in each family garden in scientific notation is:

\[
\boxed{3.0 \times 10^{-3}} \text{ square miles}
\]