Final answer:
The equivalent measure to 5 meters is 500 centimeters. This is because 1 meter is equal to 100 centimeters, therefore 5 meters is 5 x 100 cm, which equals 500 cm.
Step-by-step explanation:
The student's question asks which of the following measures is equivalent to 5 meters: 50mm, 50cm, 500mm, or 500cm. To convert between metric units, we use the relationships: 1 meter = 100 centimeters (cm) and 1 centimeter = 10 millimeters (mm). Converting 5 meters to centimeters, we have 5 meters x 100 cm/meter = 500 centimeters.
Therefore, the measure that is equivalent to 5 meters is 500cm.
The incorrect choices are computed as follows: 50mm is equal to 5cm (as 1cm = 10mm), and 50cm is simply 0.5 meters. Summing it up, 500mm is equivalent to 50cm, but this is only 0.5 meters, leaving us with the correct equivalence of 500cm to 5 meters.