Janiya is taking a road trip. The distance she plans to travel can be written as 3×102

Question

kilometers, 3×105
meters, 3×107
centimeters, or 3×108
millimeters. Which distance uses the most appropriate units?(1 point)
Responses

3×107
centimeters
3 times 10 to the 7th power centimeters

3×105
meters
3 times 10 to the 5th power meters

3×102
kilometers
3 times 10 squared kilometers

3×108
millimeters

Answer 1

To determine the most appropriate units for Janiya's road trip, we should convert all the given distances into kilometers, as that is a common unit for measuring long distances.

1. \(3 \times 10^2\) kilometers = 300 kilometers
2. \(3 \times 10^5\) meters:
   • 1 kilometer = 1000 meters
   • \(3 \times 10^5\) meters = \(3 \times 10^5 / 1000\) kilometers = \(3 \times 10^2\) kilometers = 300 kilometers
3. \(3 \times 10^7\) centimeters:
   • 1 kilometer = 100,000 centimeters
   • \(3 \times 10^7\) centimeters = \(3 \times 10^7 / 100,000\) kilometers = \(3 \times 10^2\) kilometers = 300 kilometers
4. \(3 \times 10^8\) millimeters:
   • 1 kilometer = 1,000,000 millimeters
   • \(3 \times 10^8\) millimeters = \(3 \times 10^8 / 1,000,000\) kilometers = \(3 \times 10^2\) kilometers = 300 kilometers

All of the distances are equivalent to 300 kilometers, but the most appropriate unit for a road trip is typically kilometers, as they provide a more intuitive understanding of distance.

Thus, the best option is:

3×102 kilometers (3 times 10 squared kilometers).