Question

A field of 3.9 mi2 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.

Answer 1

what is the answer in scientific notation form?

Answer 2

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

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

Area of each garden = 3.9 mi² / 1.3 × 10³

To divide by 1.3 × 10³, we can divide by 1.3 and multiply by 10³:

Area of each garden = 3.9 mi² / 1.3 × 10³
= 3.9 mi² / 1.3 × 10² × 10
= 3.9 mi² / 13 × 10

Dividing 3.9 by 13 gives us:

Area of each garden = 0.3 mi² × 10

Writing this in scientific notation:

Area of each garden = 3. × 10⁻¹ × 10
= 3 × 10⁻¹ × 10
= 3 × 10⁰
= 3 mi²

Therefore, each garden will have an area of 3 mi².

Answer 3

The answer in scientific notation form is 3 × 10^(-3) mi².