A field of 3.9 mi^2 is being subdivided into 1.3×10^3 family gardens. How many square miles will there be in each garden? Write the answer in scientific notation.

Answer 1

To determine how many square miles will be in each garden, we need to divide the total area of the field by the number of gardens.

Given:

• Total area = 3.9 mi²
• Number of gardens = 1.3 × 10³

We perform the division:

\[ \text{Area per garden} = \frac{3.9 \text{ mi}^2}{1.3 \times 10^3} \]

Calculating this gives:

1. Convert 3.9 to scientific notation: \[ 3.9 = 3.9 \times 10^0 \]

2. Now divide the numbers: \[ \text{Area per garden} = \frac{3.9}{1.3} \times \frac{10^0}{10^3} = \frac{3.9}{1.3} \times 10^{-3} \]

3. Calculate \( \frac{3.9}{1.3} \): \[ \frac{3.9}{1.3} \approx 3.0 \]

4. Therefore: \[ \text{Area per garden} \approx 3.0 \times 10^{-3} \text{ mi}^2 \]

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

\[ \boxed{3.0 \times 10^{-3}} \text{ mi}^2 \]