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

3×102
kilometers
3 times 10 squared kilometers

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

3×108
millimeters
3 times 10 to the 8th power millimeters

3×105
meters

Answer 1

To determine which distance uses the most appropriate units for a road trip, we need to convert all the given distances to a common base unit (either kilometers, meters, centimeters, or millimeters) or assess them based on typical road trip distances.

1. 3×102 kilometers: This equals 300 kilometers.
2. 3×105 meters: This equals 300,000 meters (since 1 km = 1,000 m).
3. 3×107 centimeters: This equals 30,000,000 centimeters (since 1 m = 100 cm).
4. 3×108 millimeters: This equals 300,000,000 millimeters (since 1 m = 1,000 mm).

For a road trip, distances in kilometers or meters are typically more appropriate. Given the calculations:

• 300 kilometers (3×102 kilometers) is a reasonable distance for a road trip.
• 300,000 meters (3×105 meters) is equivalent to 300 kilometers, so it's also reasonable.

However, distances in centimeters and millimeters (30,000,000 cm and 300,000,000 mm) are much larger and are not practical for road trip distances.

Therefore, the most appropriate units for a road trip would be:

3×102 kilometers (3 times 10 squared kilometers)