Final answer:
Option b) 13cm is the same length as 0.13 meters, because 1 centimeter equals 0.01 meters, making the conversion straightforward.
Step-by-step explanation:
The length of 0.13 meters can be converted into different units using the metric system. Each metric prefix indicates a different multiplication factor. To find which of the given options is the same length as 0.13m, we have:
- a) 13dm is 1.3 meters because 1 decimeter (dm) = 0.1 meters.
- b) 13cm is 0.13 meters because 1 centimeter (cm) = 0.01 meters.
- c) 1300mm is 1.3 meters because 1 millimeter (mm) = 0.001 meters.
- d) 0.013km is 13 meters because 1 kilometer (km) = 1000 meters.
Therefore, the option which is the same length as 0.13m is b) 13cm.