High School

Convert grams per deciliter to milligrams per liter.

Select the correct units and conversion factors for each step in the following roadmap.

\[ \_\_\_a\_\_\_ \quad \_\_\_b\_\_\_ \quad g/dL \rightarrow mg/dL \rightarrow \_\_\_c\_\_\_ \]

Answer :

Final answer:

To convert grams per deciliter to milligrams per liter, multiply by 1000 to convert grams to milligrams, then multiply by 10 to convert deciliters to liters.

Explanation:

To convert grams per deciliter to milligrams per liter, we need to understand the relationship between the units involved. There is a direct conversion between grams and milligrams where 1 gram is equal to 1000 milligrams. There is also a direct conversion between deciliters and liters since both are volume units, with 1 deciliter being equal to 0.1 liters or 100 milliliters. Therefore, the correct conversion factors would be:

  • a. 1000 (to convert grams to milligrams)
  • b. 10 (because 1 deciliter equals 0.1 liters, and thus converting dL to L multiplies the amount by 10)
  • c. /1 (since mg/dL has already been converted into mg/L in the previous steps)

Other Questions