Apologies for any confusion. Here is the step-by-step breakdown again:
1. Start with the total area of the field, which is given as 3.9 square miles.
2. Divide the total area by the number of gardens, which is expressed as 1.3 × 10^3.
3. To divide by 1.3 × 10^3, we first simplify the scientific notation by dividing both the numerator and denominator by 1.3. This gives us (3.9 / 1.3) × (10^2).
4. Calculate the numerator: 3.9 divided by 1.3 equals 3.
5. Calculate the denominator: (10^3) is equal to 1000.
6. The simplified fraction becomes 3 × (10^2), which is equal to 3 × 100.
7. In scientific notation, 3 × 100 can be written as 3 × 10^2.
8. Therefore, each garden will have an area of 3 × 10^2 square miles.
Step by Step! YOU ARE CONFUSING PEOPLE! On Oct. 4th.. you said:
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.
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