A field of 3.9 mi2

Question

is being subdivided into 1.3×103
family gardens. How many square miles will there be in each garden? Write the answer in scientific notation.(1 point)
mi2

Answer 1

To find the area of each garden, you need to divide the total area of the field by the number of gardens.

Given:

• Total area of the field = \(3.9 , \text{mi}^2\)
• Number of gardens = \(1.3 \times 10^3\)

Now perform the division:

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

Calculating this gives:

\[ \text{Area of each garden} = \frac{3.9}{1.3} \times 10^{-3} , \text{mi}^2 \]

Calculating \( \frac{3.9}{1.3} \):

\[ 3.9 \div 1.3 \approx 3.0 \]

So, the area of each garden can be written as:

\[ \text{Area of each garden} \approx 3.0 \times 10^{-3} , \text{mi}^2 \]

Thus, each garden will have approximately \(3.0 \times 10^{-3} , \text{mi}^2\).

Answer 2

can it also be 3 x 10^-3

Answer 3

Yes, \(3.0 \times 10^{-3}\) and \(3 \times 10^{-3}\) are equivalent in scientific notation. The trailing zero after the decimal point does not change the value, so both representations are valid.

Thus, the area of each garden can be written as:

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

This is also an acceptable and correct answer.