Janiya is taking a road trip. The distance she plans to travel can be written as 3×10^2 kilometers, 3×10^5 meters, 3×10^7 centimeters, or 3×10^8 millimeters. Which distance uses the most appropriate units?(1 point)

Question

Responses

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

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

3×102 kilometers
3 times 10 squared kilometers

3×108 millimeters

Answer 1

To determine which distance uses the most appropriate units for Janiya's road trip, we should convert all the distances into a standard unit (ideally kilometers, as road trips are typically measured in kilometers) and compare them.

1. 3×10^2 kilometers

   • This is already in kilometers: 300 kilometers.

2. 3×10^5 meters

   • To convert meters to kilometers: \( 3 \times 10^5 \) meters = \( \frac{3 \times 10^5}{1000} \) kilometers = \( 3 \times 10^2 \) kilometers = 300 kilometers.

3. 3×10^7 centimeters

   • To convert centimeters to kilometers: \( 3 \times 10^7 \) centimeters = \( \frac{3 \times 10^7}{100000} \) kilometers = \( 3 \times 10^2 \) kilometers = 300 kilometers.

4. 3×10^8 millimeters

   • To convert millimeters to kilometers: \( 3 \times 10^8 \) millimeters = \( \frac{3 \times 10^8}{1000000} \) kilometers = \( 3 \times 10^2 \) kilometers = 300 kilometers.

All distances are equivalent (300 kilometers), but when considering "appropriate units" for a road trip, kilometers are the most commonly used unit in many countries.

Therefore, the most appropriate unit for Janiya's road trip is 3×10^2 kilometers (300 kilometers).