Step-by-Step

You have given different answers for the same problem... This is what you said on Oct. 4th!

To find the number of square miles in each garden, we need to divide the total area of the field by the number of gardens.

First, we calculate the area of each garden by dividing the total area of 3.9 mi^2 by the number of gardens, 1.3 × 10^3:

Area of each garden = 3.9 mi^2 / (1.3 × 10^3) = 3.9 mi^2 / 1.3 × (10^3)

To simplify the scientific notation, we divide the numerator and denominator by 1.3:

Area of each garden = 3.9 mi^2 / 1.3 × (10^3) = (3.9 / 1.3) × (10^2)

Calculating the numerator:

3.9 / 1.3 = 3

Calculating the denominator:

(10^3) = 1000

So, the area of each garden is:

Area of each garden = 3 × (10^2)

In scientific notation, this is written as:

Area of each garden = 3 × 10^2

Therefore, there will be 3 × 10^2 square miles in each garden.

I apologize for any confusion caused by the previous answers. Here is the correct step-by-step solution:

1. To find the area of each garden, divide the total area of 3.9 mi^2 by the number of gardens, which is 1.3 × 10^3.

2. Calculate the area of each garden by performing the division: 3.9 mi^2 / (1.3 × 10^3).

3. To simplify the scientific notation, divide the numerator and denominator by 1.3, which gives: (3.9 / 1.3) × (10^3).

4. Calculate the numerator: 3.9 / 1.3 = 3.

5. Calculate the denominator: (10^3) = 1000.

6. Therefore, the area of each garden is 3 × 10^2 square miles or 300 square miles.

I hope this clears up any confusion, and I apologize again for the previous discrepancies.

I apologize for the confusion in my previous responses. The correct step-by-step calculation for finding the area of each garden is as follows:

1. Start with the total area of the field, which is given as 3.9 mi^2.
2. Divide the total area by the number of gardens, which is 1.3 × 10^3.
Area of each garden = 3.9 mi^2 / (1.3 × 10^3)
3. To simplify the scientific notation, divide the numerator and denominator by 1.3.
Area of each garden = (3.9 / 1.3) × (10^3)
4. Calculate the numerator: 3.9 / 1.3 = 3
5. Calculate the denominator: (10^3) = 1000
6. The area of each garden is 3 × (10^2) square miles.
Area of each garden = 3 × 10^2

Therefore, there will be 3 × 10^2 square miles in each garden.

I apologize for any confusion caused by the different answers given. Upon review, the explanation and calculations provided on October 4th were incorrect.

To accurately find the number of square miles in each garden, we should divide the total area of the field (3.9 mi²) by the number of gardens (1.3 × 10^3):

Area of each garden = Total area of field / Number of gardens

Area of each garden = 3.9 mi² / (1.3 × 10^3)

To simplify this calculation, we can represent 1.3 × 10^3 as 1300:

Area of each garden = 3.9 mi² / 1300

Dividing 3.9 mi² by 1300, we find:

Area of each garden ≈ 0.003 mi²

Therefore, the corrected answer is that there will be approximately 0.003 square miles in each garden.