Question

\(1 \mathrm{~L}=\) ______ \(\mathrm{mL}\)

Short answer

1 L = 1,000 mL

Step-by-step solution

Understanding the Units

The problem requires us to convert from liters to milliliters. We need to know the relationship between these units of measure.

Identifying the Conversion Factor

In the metric system, 1 liter is equal to 1,000 milliliters. This is a standard conversion that allows us to translate from one unit to another.

Applying the Conversion Factor

To convert liters to milliliters, multiply the number of liters by the conversion factor of 1,000. Here, since we have 1 liter, we calculate: \[1 \text{ L} \times 1000 \text{ mL/L} = 1000 \text{ mL}\]

Concluding the Conversion

The calculation confirms that 1 liter is equal to 1,000 milliliters. This standard conversion is used in many different types of problems and real-life scenarios involving volume measurement.

Key concepts

Volume Measurement

Volume measurement is a fundamental concept in both mathematics and everyday life. It describes the amount of space a substance or object occupies. In the metric system, which is widely used around the world, volume measurement becomes a standardized and easily understandable process. This is achieved by using units such as liters and milliliters. These units help in quantifying liquids, gases, and other materials in a consistent manner. A liter is commonly used to measure everyday quantities of liquid, like beverages or fuel. A milliliter represents a much smaller quantity and is often used for cooking or scientific measurements. Understanding volume measurement is essential for tasks that require precision and consistency.

Liter to Milliliter Conversion

Converting liters to milliliters is a straightforward process once you know the conversion factor. This conversion is important to ensure accuracy in various applications, from scientific experiments to cooking measurements. The conversion factor between liters and milliliters in the metric system is 1,000. This means:

• 1 liter is equal to 1,000 milliliters

To perform the conversion, you simply multiply the number of liters by 1,000. For instance, converting 2 liters to milliliters involves the calculation: \[2 \text{ L} \times 1000 \text{ mL/L} = 2000 \text{ mL}\] Learning this conversion allows for seamless translation between these two units, facilitating precise volume measurement across different tasks.

Metric System

The metric system is a comprehensive system of measurement used globally for its simplicity and consistency. It is especially advantageous for scientific and everyday applications due to its base 10 structure, which makes conversion straightforward. This system includes the meter for length, liter for volume, and gram for weight. In the context of volume, the liter is the primary unit, and it can be subdivided into milliliters for smaller measurements. Some benefits of the metric system include:

• Easy conversions using powers of ten
• Universal applicability and understanding
• Standardized measures that reduce confusion

The metric system allows you to make precise and easy conversions between different units, making it an essential tool in fields requiring accuracy. By familiarizing yourself with this system, you notch up your skills in mathematics and various practical activities.