Question

Janiya is taking a road trip. The distance she plans to travel can be written as 3×102 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 distance, we should convert all the distances to the same unit and consider the scale of typical road trip distances.

1. 3×102 kilometers = 300 kilometers
2. 3×105 meters = 300,000 meters
3. 3×107 centimeters = 30,000,000 centimeters
4. 3×108 millimeters = 300,000,000 millimeters

Given that a typical road trip distance is better expressed in kilometers or meters rather than larger or smaller units:

• 300 kilometers (3×102 kilometers) is a practical distance for a road trip.
• 300,000 meters (3×105 meters) is also possible, but meters are less convenient for distances typically measured in kilometers.

The other two distances are less practical because they are either very large (centimeters) or unnecessarily small (millimeters) for the context of a road trip.

Thus, the most appropriate unit for expressing Janiya's planned travel distance is 3×102 kilometers (300 kilometers).