Question

Use dimensional analysis to convert each of the following measurements to its equivalent in the units given:

Convert 14 cm to meters.
A. 0.14 meters
B. 1.4 meters
C. 0.0014 meters
D. 14 meters

Answer 1

To convert 14 cm to meters, multiply by a conversion factor of 1 meter = 100 centimeters. The correct answer is 0.14 meters (option A).

Step-by-step explanation:

To convert 14 cm to meters using dimensional analysis, we need to set up a conversion factor between centimeters and meters. Since there are 100 centimeters in 1 meter, the conversion factor is 1 meter = 100 centimeters. We can then multiply 14 cm by this conversion factor to get the equivalent measurement in meters:

14 cm × (1 meter / 100 centimeters) = 0.14 meters

Therefore, the correct answer is 0.14 meters (option A).