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Chapter 1: Problem 872

Convert the units. A bottle of medicine contained 300 milliliters. Convert this to liters.

Short Answer

Expert verified
300 milliliters is equal to 0.3 liters.

Step by step solution

01

Understand the relationship between milliliters and liters

There are 1000 milliliters in 1 liter. This means that 1 milliliter is equal to 0.001 liters.
02

Set up the conversion

To convert 300 milliliters to liters, multiply the number of milliliters by the conversion factor (0.001): \[ 300 \text{ milliliters} \times 0.001 \text{ liters/milliliter} = 0.3 \text{ liters} \]
03

Calculate

Perform the multiplication: \[ 300 \times 0.001 = 0.3 \] Thus, 300 milliliters is equal to 0.3 liters.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

milliliters to liters
When dealing with liquid volumes, you often see measurements in both milliliters (mL) and liters (L). Understanding how to convert between these units is important and easy once you get the hang of it.

Milliliters (mL) are smaller units compared to liters (L). Specifically, there are 1000 milliliters in one liter. This means the conversion factor between milliliters to liters is 0.001.

Let's simplify the conversion process further:
  • Determine the volume in milliliters you need to convert.
  • Multiply that volume by the conversion factor (0.001).
  • The result will give you the volume in liters.
For instance, to convert 300 milliliters to liters, you multiply 300 by 0.001 to get 0.3 liters. It's that straightforward!
metric system
The metric system is a decimal-based system of measurement used globally, especially in sciences and various industries. Its main advantage lies in its simplicity and ease of conversion, as it is based on powers of ten.

For volumes, the basic units include:
  • liters (L)
  • milliliters (mL)
The relationship between these units is straightforward because 1 liter equals 1000 milliliters. This makes calculations and conversions quick and less prone to error.

If you ever forget how many milliliters are in a liter, just think of the prefix 'milli-' which means one-thousandth. Thus, one milliliter is one-thousandth of a liter.
conversion factor
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. It is crucial for converting between units in the metric system, and ensures accuracy and consistency in measurements.

When converting milliliters to liters, the conversion factor is 0.001. Here鈥檚 how to apply it:
  • Start with the value you wish to convert (in milliliters).
  • Multiply this value by the conversion factor (0.001) to obtain the result in liters.
In our example, converting 300 milliliters involves multiplying 300 by 0.001, giving a result of 0.3 liters.

Remember, the conversion factor is key. For milliliters to liters, it is always 0.001, making conversions simple and reliable.

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