Question

Convert the following metric measures by moving the decimal. \(0.75 \mathrm{~L}=\) ______\(\mathrm{mL}\)

Short answer

0.75 L is 750 mL.

Step-by-step solution

Understand the Units

The problem requires converting liters (L) to milliliters (mL). It's vital to know that 1 liter equals 1000 milliliters. This relationship can guide the conversion of the given quantity, 0.75 liters, into milliliters.

Set up the Conversion Factor

To convert from liters to milliliters, use the conversion factor 1000 mL/1 L. This means you will multiply the given quantity in liters by 1000 to find out how many milliliters it represents.

Perform the Multiplication

Take the given quantity of 0.75 liters and multiply it by the conversion factor:\(0.75 \text{ L} \times 1000 \text{ mL/L} = 750 \text{ mL}\)Multiplying by 1000 moves the decimal three places to the right, converting liters to milliliters.

Check Your Work

Multiply 0.75 by 1000 again to ensure accuracy: the result should still be 750 mL. This confirms that the conversion was done correctly.

Key concepts

Liters to Milliliters

When working with metric system conversions, it's essential to be familiar with commonly used units. Liters and milliliters are popular units for measuring volume. They are part of the metric system, which is based on powers of ten, making conversions relatively straightforward. One key relationship to remember is that 1 liter is equivalent to 1000 milliliters.

This conversion is useful in various real-life scenarios. For instance, understanding this relationship helps when measuring liquids for recipes or scientific experiments.

• If you have a drink measured in liters and want to know how it compares to smaller containers, converting to milliliters might be helpful.
• This conversion ensures precision and better understanding when managing liquid volumes.

Remembering that 1 L equals 1000 mL can simplify many tasks and help you navigate both educational exercises and everyday situations.

Conversion Factor

The conversion factor is an essential tool in metric conversions. It is a simple rate used to convert one unit to another. In converting liters to milliliters, the conversion factor is 1000 milliliters per 1 liter.

This means for every liter, there are 1000 milliliters. This factor allows us to convert the volume by multiplying it:

• To convert, multiply the liters by 1000 (conversion factor), providing the equivalent in milliliters.
• Using this factor consistently gives accurate results and enables easy conversions.

To apply this: If you have 0.75 liters, multiplying by 1000 (the conversion factor) means you are converting the measurement into a smaller unit. The product, 750 milliliters, is the equivalent in milliliters.

Decimal Point Movement

Understanding how to move the decimal point is crucial for performing conversions efficiently in the metric system. The relationship between liters and milliliters involves a power of ten (1000), which means the decimal movement is a quick way to convert without complex calculations.

When converting liters to milliliters, you move the decimal point three places to the right.

• This corresponds to multiplying by 1000, as each shift to the right increases the value tenfold.
• For the value 0.75 liters, moving the decimal three places to the right gives you 750, yielding 750 milliliters.

This straightforward movement reflects the base ten nature of the metric system and simplifies the conversion process, making it both quick and intuitive.