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
Transcript text: 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.
\[
(0.020 \mathrm{~mL}) \cdot \square=? \mathrm{dL}
\]
Solution
Solution Steps
Step 1: Understanding the Conversion
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).
Step 2: Setting Up the Conversion Factor
We need to convert from milliliters to deciliters. First, convert milliliters to liters, then convert liters to deciliters.
1 mL=10−3 L1 dL=10−1 L
Step 3: Calculating the Conversion Factor
To convert from mL to dL, we combine the two conversion factors:
1 mL=10−3 L1 L=10 dL
Thus,
1 mL=10−3 L×10 dL/L=10−2 dL
Step 4: Applying the Conversion Factor
Now, we apply this conversion factor to the given measurement: