Question

convert the following measurement.
0.978\\(\frac{g}{l}\\)=\\(\square\frac{mg}{dl}\\)

Explanation:

Step1: Convert grams to milligrams

Since \(1\ \text{g} = 1000\ \text{mg}\), then \(0.978\ \text{g}=0.978\times1000\ \text{mg} = 978\ \text{mg}\).

Step2: Convert liters to deciliters

Since \(1\ \text{L}=10\ \text{dL}\).
The original ratio is \(\frac{0.978\ \text{g}}{1\ \text{L}}\), substituting the unit - converted values: \(\frac{0.978\times1000\ \text{mg}}{1\times10\ \text{dL}}\).
Calculate \(\frac{978\ \text{mg}}{10\ \text{dL}}=97.8\ \frac{\text{mg}}{\text{dL}}\).

Answer:

\(97.8\)