Problem 43 - Prealgebra

Question

Make the following conversions using the conversion factors given in Tables 3 and 4 \(127 \mathrm{mL}\) to liters

Step-by-Step Solution

Answer

127 mL is 0.127 L.

Step 1: Understanding the Conversion

We need to convert milliliters (mL) to liters (L). The conversion factor between milliliters and liters is that 1 L = 1000 mL. This means that to convert milliliters to liters, we divide by 1000.

Step 2: Applying the Conversion Factor

We take the given quantity in milliliters, which is 127 mL, and divide it by 1000 to convert it to liters. The calculation would be: \[127 \text{ mL} \div 1000 = 0.127 \text{ L}\]

Key Concepts

Milliliters to Liters

When we talk about converting milliliters to liters, we're essentially moving from a smaller unit to a larger one in the metric system.
This is a common exercise as the milliliter and liter are both standard units for measuring liquid volume.

• Milliliters represent a small amount of liquid, perfect for activities like measuring ingredients in cooking.
• Liters are more suitable for larger quantities, like filling your car's gas tank.

To convert from milliliters to liters, you need a simple mathematical operation. Since there are 1000 milliliters in one liter, you can convert milliliters to liters by dividing the number of milliliters by 1000.
For example, if you have 127 milliliters, dividing by 1000 gives:\[127 \text{ mL} \div 1000 = 0.127 \text{ L}\]This shows that 127 milliliters equals 0.127 liters.

Conversion Factors

Conversion factors are crucial tools in unit conversions and help us understand the relationship between different units of measurement.
They act like a bridge that lets us move seamlessly from one unit to another.
For converting milliliters to liters, the conversion factor is based on the metric system where

• 1 liter is equal to 1000 milliliters.

Using this factor helps simplify the conversion process and ensures accurate results. Here's how you can apply a conversion factor: 1. **Identify the conversion factor** - For milliliters to liters, it's 1 liter/1000 milliliters. 2. **Use the conversion factor in calculations** - Divide your milliliter measurement by the conversion factor denominator. This straightforward method is fundamental for converting milliliters to liters and any other units.

Measurement Units

Measurement units are standards we use to express and communicate the quantity of something.
In the metric system, liters and milliliters are standard units for measuring volume.

• **Milliliters (mL)** are suitable for small, precise measurements, often used in scientific and culinary contexts.
• **Liters (L)** are more common for everyday larger volume measurements, like beverages and fuel.

Understanding how these units relate is essential for making accurate conversions, especially in science, cooking, and industrial applications.
By familiarizing yourself with these systems, you can easily switch between different units and ensure your measurements are as precise as needed in any context.