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Unit conversion is a fundamental skill in prealgebra that involves changing a quantity expressed in one unit to an equivalent quantity in another unit. This exercise includes converting liters (L) to centiliters (cL). Here’s a simple breakdown:

1 liter (L) is defined as 100 centiliters (cL). This is because the prefix 'centi-' stands for hundredth, so there are 100 centiliters in every liter.

When you need to convert from liters to centiliters, you multiply by 100. For instance, if you have 1 liter of a liquid, it is equivalent to 1 × 100 = 100 centiliters. This conversion is crucial as it allows us to work with units that are more manageable for the problem at hand.

Volume measurement is the process of quantifying the amount of space a substance (like liquid) occupies.
In this context, we are dealing with the volume of liquid in liters and centiliters.

There are several units for measuring volume, such as liters, milliliters, and centiliters. Here, the liter is the larger unit and centiliter is the smaller unit:

• 1 liter (L) = 10 deciliters (dL)
• 1 liter (L) = 100 centiliters (cL)
• 1 liter (L) = 1000 milliliters (mL)

Understanding how to measure and convert between these units is essential for solving problems related to volumes, especially in practical contexts like cooking, science, and medicine.

Division in algebra is a basic operation used to find out how many times one number is contained within another. In this problem, after converting 1 liter to 100 centiliters, you're asked to find how many 20-cL bottles can be made from 100 cL of cough syrup.

Here's how you do it:

First, set up the division problem where 100 cL is divided by 20 cL per bottle. The equation looks like this:
\[ \frac{100 \text{ cL}}{20 \text{ cL/bottle}} \]

This tells us to divide 100 by 20, which equals 5. Thus, you can fill 5 small bottles of 20 cL with 100 cL of cough syrup.

Using division in this way helps in distributing quantities evenly and understanding ratios, which are critical skills in algebra and many real-world applications.