Questions: A student sets up the following equation to convert a measurement (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (0.020 mL) * ? = ? dL

Solution Steps

To convert from milliliters (mL) to deciliters (dL), we need to understand the relationship between these units.

1 milliliter (mL) is equal to \(10^{-3}\) liters (L). 1 deciliter (dL) is equal to \(10^{-1}\) liters (L).

We need to convert from milliliters to deciliters. First, convert milliliters to liters, then convert liters to deciliters.

\[ 1 \text{ mL} = 10^{-3} \text{ L} \] \[ 1 \text{ dL} = 10^{-1} \text{ L} \]

To convert from mL to dL, we combine the two conversion factors:

\[ 1 \text{ mL} = 10^{-3} \text{ L} \] \[ 1 \text{ L} = 10 \text{ dL} \]

Thus,

\[ 1 \text{ mL} = 10^{-3} \text{ L} \times 10 \text{ dL/L} = 10^{-2} \text{ dL} \]

Now, we apply this conversion factor to the given measurement:

\[ (0.020 \text{ mL}) \cdot (10^{-2} \text{ dL/mL}) = 0.020 \times 10^{-2} \text{ dL} \]

Final Answer