Question

Match the following to the equivalent unit of measure.

2.3 liters - c) 230 deciliters
0.0023 hectoliters - b) 230 liters
23 dekaliters - a) 2300 milliliters
230 deciliters - d) 0.0230 kiloliters

Answer 1

Volume measurements can be converted by understanding the relationship between different units such as liters, deciliters, hectoliters, dekaliters, and kiloliters. For instance, 2.3 liters is matched with 230 deciliters, and 230 deciliters is matched with 0.023 kiloliters.

Step-by-step explanation:

The task is to match the given volume measurements with their equivalent unit of measure.

• 2.3 liters is equivalent to 230 deciliters (c) because 1 liter is equal to 10 deciliters, so 2.3 liters = 2.3 x 10 deciliters = 23 deciliters.
• 0.0023 hectoliters is equivalent to 230 milliliters (not provided as an option) because 1 hectoliter is equal to 100 liters, so 0.0023 hectoliters = 0.0023 x 100 liters = 0.23 liters = 230 milliliters.
• 23 dekaliters is equivalent to 230 liters (not provided as an option) because 1 dekaliter is equal to 10 liters, so 23 dekaliters = 23 x 10 liters = 230 liters.
• 230 deciliters is equivalent to 0.0230 kiloliters (d). Since 1 kiloliter is equal to 1,000 liters and 1 liter is equal to 10 deciliters, 230 deciliters = 230 / 10 liters = 23 liters = 23 / 1,000 kiloliters = 0.023 kiloliters.