Question

Convert the following to the equivalent measures indicated. $48.6\mathrm{L}=$ ______ $\mathrm{mL}$

Short answer

48600 mL

Step-by-step solution

Understand the Conversion Factor

To convert from liters (L) to milliliters (mL), you need to know that 1 liter equals 1000 milliliters. This is the basic conversion factor: $$1\text{ L}=1000\text{ mL}$$

Set Up the Conversion

Using the conversion factor from Step 1, set up the conversion equation. We have 48.6 L that needs to be converted to mL. The equation will be set up by multiplying the quantity in liters by the conversion factor:$$48.6\text{ L}\times 1000\text{ mL/L}$$

Perform the Multiplication

Multiply the liters by the conversion factor to convert to milliliters:$$48.6\times 1000=48600$$

Finalize the Answer

Now that you have performed the multiplication, you have your answer in milliliters. The conversion results in:$$48.6\text{ L}=48600\text{ mL}$$

Key concepts

Liters to Milliliters

When converting from liters to milliliters, it's important to understand the units involved. The liter and milliliter are both units of volume in the metric system, typically used for measuring liquids. The conversion between these two units is simple because they are both based on the same decimal system. 1 liter is equivalent to 1,000 milliliters, meaning the milliliter is one-thousandth of a liter. This straightforward relationship makes conversions quite easy since you'll usually be multiplying or dividing by 1,000. Understanding this foundational aspect will help you quickly grasp any volume conversion in the metric system.

Conversion Factor

The conversion factor is a key concept when dealing with unit conversions. When converting liters to milliliters, the conversion factor is the number of milliliters in one liter. In this case, the conversion factor is 1,000 because there are 1,000 milliliters in a single liter. This means that for every liter, you need to multiply by 1,000 to find the equivalent in milliliters. Knowing and understanding the conversion factor allows you to set up a mathematical equation for conversion. It's crucial to remember that the multiplication by the conversion factor should reflect the units from liters to milliliters to ensure accuracy. Mistaking the conversion factor can lead to errors, so always double-check that you are using the correct number.

Mathematical Multiplication

Mathematical multiplication is the core operation involved in converting liters to milliliters. You take the volume you have in liters and multiply it by the conversion factor of 1,000. This operation is fundamental, as it directly provides you with the number of milliliters for the given volume in liters.In our example of converting 48.6 liters, you would compute it as follows: $$48.6\times 1000=48,600$$This arithmetic operation is straightforward but requires attention to detail. Checking your multiplication work ensures that you don't make mistakes that might lead to incorrect results.

Measurement Conversion Steps

Converting units involves a systematic approach, and using measurement conversion steps will guide you through the process neatly. To convert liters to milliliters effectively, you can follow these steps:

• Identify the Conversion Factor: Know that 1 liter = 1,000 milliliters.
• Set Up the Conversion Equation: Multiply the number of liters by the conversion factor (1,000 mL/L).
• Perform the Calculation: Execute the multiplication to get your answer in milliliters.
• Review the Result: Double-check your multiplication and conversion to ensure accuracy.

By following these logical steps, you can convert not only liters to milliliters but apply a similar methodology to other unit conversions, ensuring you achieve reliable and correct outcomes every time.