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 3×102 kilometers 3 times 10 squared kilometers 3×107 centimeters 3 times 10 to the 7th power centimeters 3×105 meters 3 times 10 to the 5th power meters 3×108 millimeters

Answer 1

To determine which distance uses the most appropriate units for a road trip, we can convert all the distances to a common unit and then evaluate.

1. Kilometers: \( 3 \times 10^2 \) kilometers = 300 kilometers
2. Meters: \( 3 \times 10^5 \) meters = 300,000 meters
   • (1 kilometer = 1,000 meters, so 300 km = 300,000 m)
3. Centimeters: \( 3 \times 10^7 \) centimeters = 30,000,000 centimeters
   • (1 meter = 100 centimeters, so 300,000 m = 30,000,000 cm)
4. Millimeters: \( 3 \times 10^8 \) millimeters = 300,000,000 millimeters
   • (1 meter = 1,000 millimeters, so 300,000 m = 300,000,000 mm)

For a road trip, it's generally more practical and appropriate to use kilometers or miles rather than meters, centimeters, or millimeters, as they represent larger distances more comprehensively.

Thus, the most appropriate distance for a road trip out of the options given is:

3 × 10² kilometers (300 kilometers)