Question

Convert the following to the equivalent measures indicated. \(1.5 \mathrm{~L}=\) ______ \(\mathrm{mL}\)

Short answer

1.5 liters is equal to 1500 milliliters.

Step-by-step solution

Understand the Conversion Relationship

To convert liters to milliliters, you need to know the conversion factor between these units. 1 liter is equal to 1000 milliliters.

Set Up the Conversion

Using the conversion factor, set up the conversion of 1.5 liters to milliliters. Multiply the amount in liters by the conversion factor of 1000 milliliters per liter.

Perform the Calculation

Calculate the number of milliliters in 1.5 liters by multiplying: \( 1.5 \text{ L} \times 1000 \text{ mL/L} = 1500 \text{ mL} \).

Verify the Solution

Ensure the units are correctly converted and check the arithmetic for accuracy. The result should be 1500 milliliters.

Key concepts

Liters to Milliliters

Converting liters to milliliters is a straightforward process once you understand the relationship between these two units. Liters and milliliters are both units used to measure volume, commonly found in the metric system.
Whenever you see a measurement in liters that needs to be converted to milliliters, you can utilize a simple conversion factor.

• 1 liter is equivalent to 1000 milliliters.

This means that for every liter you have, you can calculate the number of milliliters by multiplying by 1000.
For example, if you have 1.5 liters and want to convert it to milliliters, you multiply 1.5 by 1000, which equals 1500 milliliters.

Metric Conversion

The metric system is a standardized system of measurement used globally. It's based on powers of ten, which makes conversions like metric conversion remarkably simple. This system includes units like meters, grams, and liters, which are easily convertible among different scales using straightforward multiplication or division.
An essential part of mastering metric conversion is understanding and remembering key conversion factors:

• 1 liter = 1000 milliliters
• 1 meter = 100 centimeters
• 1 kilogram = 1000 grams

When you're familiar with these basic conversions, you can tackle more complex problems with confidence by simply multiplying or dividing by the appropriate factor to switch between units without any hassle.

Measurement Conversion

Measurement conversion is an important skill in both academic settings and real-world applications. Whether cooking, brewing, or performing scientific experiments, understanding how to convert one unit of measurement to another can be crucial. In this exercise, we focused on volume conversion between liters and milliliters.
By converting measurements, you ensure that values are expressed in units that are most suitable for the context you are dealing with. Consistent measurement improves communication, interpretation, and understanding of any numerical data.
Always remember to use the correct conversion factor that matches the units you are converting from and to, as accuracy in this step is crucial for getting the right answer.

Arithmetic Accuracy

Arithmetic accuracy is foundational for achieving correct results in unit conversion problems. Even with the correct conversion factor, errors in basic calculations can lead to incorrect solutions. To assure precision, always:

• Double-check your multiplication or division calculations.
• Ensure the units line up correctly before proceeding with arithmetic.
• Reassess the final outcome to confirm that it makes sense in context.

When converting 1.5 liters to milliliters, accurately multiplying 1.5 by 1000 gives you 1500 milliliters. If the arithmetic isn't precise or if you misunderstand the mathematical operation, the entire solution could be flawed. Thus, practicing consistency in arithmetic will help you maintain mathematical accuracy every time you perform a conversion.