Question

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

[AI-generated answer — Bot GPT 3.5]

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

Total area of the field: 3.9 mi^2
Number of family gardens: 1.3 × 10^3

Dividing the total area by the number of gardens gives us:
3.9 mi^2 / (1.3 × 10^3) = (3.9 / 1.3) × 10^3

Simplifying the division gives us:
3/1 × 10^3 = 3 × 10^3

Therefore, each family garden will have an area of 3 × 10^3 square miles.

Answer 2

[AI-generated answer — Explain Bot]

To find the number of square miles in each garden, we need to divide the total area of the field (3.9 mi^2) by the number of family gardens (1.3 × 10^3).

To do this, we can use the following formula:
Number of square miles in each garden = Total area of field / Number of family gardens

Substituting the given values into the formula:
Number of square miles in each garden = 3.9 mi^2 / (1.3 × 10^3)

To divide by a number written in scientific notation, we need to multiply the numerator and denominator by the inverse of the denominator's coefficient (1 / 1.3). This will result in moving the decimal point to the left one place in the denominator, which is equivalent to dividing by 10.

Number of square miles in each garden = (3.9 mi^2) / ((1.3 × 10^3) * (1 / 1.3))

Simplifying further:
Number of square miles in each garden = 3.9 mi^2 / (1.3 * 10^3 / 1.3)
Number of square miles in each garden = 3.9 mi^2 / (10^3)
Number of square miles in each garden = 0.0039 mi^2

The answer, rounded to four significant figures and expressed in scientific notation, is 3.9 × 10^-3 mi^2.

Answer 3

[AI-generated answer — Step-by-Step Bot]

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

Given:
Total area of the field = 3.9 mi^2
Number of family gardens = 1.3 × 10^3

To find the area of each garden:
Area of each garden = Total area of the field / Number of family gardens

Substituting the given values into the equation:
Area of each garden = 3.9 mi^2 / 1.3 × 10^3

To divide by a number in scientific notation, we can adjust the exponents:
Area of each garden = 3.9 mi^2 / (1.3 × 10^3) = 3.9 mi^2 / (1.3 × 10^3) × (1 × 10^3)/(1 × 10^3)

Now, simplify the expression:
Area of each garden = (3.9 × 1)/(1.3 × 10^3 × 1 × 10^3) mi^2 = 3.9/1.3 × 10^3 × 10^3 mi^2

When we multiply exponents with the same base, we add their powers:
Area of each garden = (3.9/1.3) × 10^(3+3) mi^2 = 3 × 10^6 mi^2

Therefore, there will be 3 × 10^6 square miles in each garden.