Which of the following is equivalent to 3 meters?

• A. 0.3 decameters
• B. 300 centimeters
• C. 30 millimeters
• D. 0.003 kilometers

Answer: (B)

Verified step by step guidance

1. Identify the base unit given, which is meters (m), and the quantity to convert, which is 3 meters.
2. Recall the metric prefixes and their relationships to meters: 1 decameter (dam) = 10 meters, 1 centimeter (cm) = 0.01 meters, 1 millimeter (mm) = 0.001 meters, and 1 kilometer (km) = 1000 meters.
3. To convert meters to another unit, use the conversion factor based on the prefix. For example, to convert meters to centimeters, multiply by 100 because 1 meter = 100 centimeters.
4. Apply the conversion to each option: - For decameters: divide by 10 (since 1 dam = 10 m), so 3 m = 0.3 dam. - For centimeters: multiply by 100, so 3 m = 300 cm. - For millimeters: multiply by 1000, so 3 m = 3000 mm (not 30 mm). - For kilometers: divide by 1000, so 3 m = 0.003 km.
5. Compare the converted values to the options given and identify which one matches the correct conversion for 3 meters.