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, 3×108
millimeters. Which distance uses the most appropriate units? (1 point)
Responses

3×102
kilometers
3 times 10 squared kilometers

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

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

3×108
millimeters

Answer 1

To determine which distance measurement is the most appropriate for Janiya's road trip, we need to convert each of the distances into a common unit for easier comparison. Here are the conversions:

1. 3 × 10² kilometers:

   • 1 kilometer = 1,000 meters
   • 3 × 10² kilometers = 3 × 10² × 1,000 meters = 3 × 10² × 10³ meters = 3 × 10⁵ meters

2. 3 × 10⁵ meters:

   • This is already in meters.

3. 3 × 10⁷ centimeters:

   • 1 meter = 100 centimeters
   • 3 × 10⁷ centimeters = 3 × 10⁷ / 100 meters = 3 × 10⁵ meters

4. 3 × 10⁸ millimeters:

   • 1 meter = 1,000 millimeters
   • 3 × 10⁸ millimeters = 3 × 10⁸ / 1,000 meters = 3 × 10⁵ meters

After converting:

• 3 × 10² kilometers = 3 × 10⁵ meters
• 3 × 10⁵ meters = 3 × 10⁵ meters
• 3 × 10⁷ centimeters = 3 × 10⁵ meters
• 3 × 10⁸ millimeters = 3 × 10⁵ meters

All of these distances are equivalent when converted to meters (3 × 10⁵ meters). However, for the purpose of a road trip, kilometers are the most commonly used and appropriate unit of measurement.

Thus, the most appropriate unit for Janiya's road trip distance is:

3 × 10² kilometers.