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.
The correct answer is 3x10 to the NEGATIVE power of 3 (so -3 is the exponet to 10)
To find the square miles in each garden, we divide the total square miles by the number of gardens: 3.9 mi² / 1.3×10³ gardens = <<3.9/1.3e3=3e-3>>3e-3 mi²/garden.
In scientific notation, this value is 3e-3 mi²/garden.
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To find the number of square miles in each garden, we need to divide the total area of the field by the number of family gardens.
Let's calculate it step-by-step:
Step 1: Divide the total area of the field by the number of family gardens.
3.9 mi^2 ÷ (1.3 × 10^3) =
(3.9 ÷ 1.3) × (10^3 / 10^0) =
3 × 10^(3-0) =
3 × 10^3
Step 2: Write the answer in scientific notation.
3 × 10^3 = 3.0 × 10^3
Therefore, each family garden will have 3.0 × 10^3 square miles.
To find out how many square miles will be in each garden, you need to divide the total area of the field by the number of gardens.
Step 1: Calculate the area of each garden.
Divide the total area of the field, which is 3.9 mi^2, by the number of gardens, which is 1.3 × 10^3.
3.9 mi^2 ÷ (1.3 × 10^3)
Step 2: Divide the numerical values.
3.9 ÷ 1.3 = 3.
Step 3: Divide the exponents:
10^3 ÷ 10^0 = 10^(3-0) = 10^3.
Step 4: Combine the numerical value with the exponent:
3 × 10^3.
Therefore, there will be 3 × 10^3 square miles in each garden.