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Janiya is taking a road trip. The distance she plans to travel can be written as 3 x 10^2 kilometers, 3 x 10^5 meters, 3 x 10^7 centimeters, or 3 x 10^8 millimeters. Which distance uses the most appropriate units?

answers:

3 x 10^2 kilometers

3 x 10^7 centimeters

3 x 10^5 meters

3 x 10^8 millimeters

3 answers

To determine which distance uses the most appropriate units for Janiya's road trip, we need to convert each of the distances to a common unit or consider the magnitudes of each distance based on common travel distances.

  1. Kilometers: \(3 \times 10^2 \text{ kilometers} = 300 \text{ kilometers}\)
  2. Meters: \(3 \times 10^5 \text{ meters} = 300,000 \text{ meters} = 300 \text{ kilometers}\)
  3. Centimeters: \(3 \times 10^7 \text{ centimeters} = 30,000,000 \text{ centimeters} = 300,000 \text{ meters} = 300 \text{ kilometers}\)
  4. Millimeters: \(3 \times 10^8 \text{ millimeters} = 300,000,000 \text{ millimeters} = 300,000 \text{ meters} = 300 \text{ kilometers}\)

Now, we consider the most appropriate unit for a road trip:

  • Kilometers are typically used to measure longer distances, like those encountered on road trips.
  • Meters, centimeters, and millimeters are generally more common in measuring shorter distances or lengths.

Given that Janiya's road trip covers a distance of 300 kilometers, the most appropriate unit for road travel is kilometers.

Therefore, the best answer is:

3 x 10^2 kilometers

are you sure

Yes, I am confident in my response. To elaborate further:

  • 300 kilometers (3 x 10² kilometers) is a more suitable distance for measuring road trips. This fits well within the scope of how we usually represent travel distances, especially as distances for road trips are typically expressed in kilometers or miles.

  • The other units (meters, centimeters, and millimeters) are more commonly used for shorter measurements and would be less practical for a journey described typically within the context of a road trip.

  • Conversions confirm that all representations refer to the same distance (300 kilometers), but expressing it in kilometers is standard for distances when traveling by road.

Thus, for a trip, the most appropriate and conventional unit is indeed 3 x 10² kilometers.