Question

Convert the following to the equivalent measures indicated. \(1.6 \mathrm{~L}=\) ______ \(\mathrm{mL}\)

Short answer

1.6 L = 1600 mL

Step-by-step solution

Understanding the Units

The problem asks us to convert a measurement from liters (L) to milliliters (mL). This requires understanding the relationship between these units in the metric system.

Knowing the Conversion Factor

In the metric system, the conversion factor between liters and milliliters is that 1 liter is equivalent to 1000 milliliters. This means that to convert from liters to milliliters, we multiply by 1000.

Applying the Conversion Factor

To convert 1.6 liters to milliliters, multiply 1.6 by 1000 using the conversion factor 1 L = 1000 mL. This calculation is done as follows: \[ 1.6 \times 1000 = 1600 \]

Final Answer

The conversion from liters to milliliters is complete. Therefore, 1.6 liters is equivalent to 1600 milliliters.

Key concepts

Measurement Units

Measurement units are the foundation of how we quantify and compare different types of quantities. In the metric system, units of measurement are structured to offer a clear and decimal-based system. Each type of measurement has a base unit, and from there, prefixes signify multiplication or division by powers of ten. For example:

• Length is measured in meters (m).
• Mass is measured in grams (g).
• Volume is measured in liters (L).

This system makes calculations and conversions straightforward. Metric units are commonly used around the world because they simplify the conversion process by using standard units and consistent prefixes.
Depending on the type of measurement, choosing the correct unit ensures that what we measure is meaningful and comparable to other quantities.

Metric Conversion Factor

A metric conversion factor is a numerical value used to multiply or divide when converting from one unit to another within the metric system. It leverages the base-10 structure of the metric system, making conversions predictable and easy.

• For converting meters to centimeters, multiply by 100 (because 1 m = 100 cm).
• For deciding area in hectares, note that 1 hectare is 10,000 square meters.

A key aspect of conversion factors is consistency. They ensure that as we shift measurements from one scale to another, the inherent value remains unchanged.
Employing the correct conversion factor is crucial to avoiding errors in the calculation of physical quantities. For instance, converting area would require a different factor than converting length.

Liters to Milliliters

Converting liters to milliliters is a practical example of using a metric conversion factor. Since 1 liter equals 1000 milliliters, we use this relationship to switch from one unit to the other. This conversion is relevant in many real-world contexts like cooking, scientific experiments, or any scenario that requires precise liquid measurement.
To convert liters to milliliters, multiply the number of liters by 1000. If we have a volume of 1.6 liters, the calculation is straightforward:

• \[ 1.6 imes 1000 = 1600 \]

Using this approach, the volume of 1.6 liters becomes 1600 milliliters. Understanding this conversion process is essential for efficiently working with various measurements involving liquid volumes.
This relationship means you always multiply by 1000, whether you have half a liter (0.5 L, equaling 500 mL) or a thousand liters (1000 L, converting to 1,000,000 mL). Knowing these conversions can save time and ensure accuracy across different measurements.