Question
Math 8A Unit 4 Study Guide
14. A field of 7.8m * i ^ 2 is being subdivided into 2.6 * 10 ^ 3 lots for houses to be built. How many square miles will there be in each lot? Write the answer in scientific notation.
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14. A field of 7.8m * i ^ 2 is being subdivided into 2.6 * 10 ^ 3 lots for houses to be built. How many square miles will there be in each lot? Write the answer in scientific notation.
XX
O
5.2
XXX
Answers
GPT 3.5
To find the area of each lot in square miles, we need to convert the given area of the field from square meters to square miles.
First, we convert the square meters to square kilometers by dividing by 10^6 (since 1 square kilometer = 1,000,000 square meters):
7.8 m * (1 km / 1000 m)^2 = 7.8 * 10^-6 km^2
Next, we convert square kilometers to square miles by multiplying by 0.386102 (since 1 square mile = 2.58999 square kilometers):
7.8 * 10^-6 km^2 * 0.386102 = 3.0105356 * 10^-6 sq mi
Finally, to find the area of each lot, we divide the total area by the number of lots:
(3.0105356 * 10^-6 sq mi) / (2.6 * 10^3 lots) = 1.1582807 * 10^-9 sq mi
Therefore, there will be approximately 1.16 * 10^-9 square miles in each lot.
First, we convert the square meters to square kilometers by dividing by 10^6 (since 1 square kilometer = 1,000,000 square meters):
7.8 m * (1 km / 1000 m)^2 = 7.8 * 10^-6 km^2
Next, we convert square kilometers to square miles by multiplying by 0.386102 (since 1 square mile = 2.58999 square kilometers):
7.8 * 10^-6 km^2 * 0.386102 = 3.0105356 * 10^-6 sq mi
Finally, to find the area of each lot, we divide the total area by the number of lots:
(3.0105356 * 10^-6 sq mi) / (2.6 * 10^3 lots) = 1.1582807 * 10^-9 sq mi
Therefore, there will be approximately 1.16 * 10^-9 square miles in each lot.