Question

Convert the following to the equivalent measures indicated. \(75 \mathrm{~mL}=\) ______ \(\mathrm{oz}\)

Short answer

75 mL is approximately 2.536 oz.

Step-by-step solution

Understanding Conversion

To convert from milliliters (mL) to ounces (oz), we need to understand the conversion factor. We know that 1 ounce is approximately 29.5735 mL.

Set Up the Conversion

We are given 75 mL and need to convert it to ounces using the conversion factor from Step 1. We'll set up the conversion equation: \[ \text{ounces} = \frac{75 \text{ mL}}{29.5735 \text{ mL/oz}} \]

Perform the Calculation

Now we divide 75 by 29.5735:\[ \text{ounces} = \frac{75}{29.5735} \approx 2.536 \text{ oz} \]

Key concepts

Measurement Conversion

Measurement conversion involves changing a quantity from one unit of measurement to another. It is an essential skill in various fields, especially in science and engineering. Knowing how to correctly convert units allows us to compare and understand data in different formats.
In this exercise, the task is to convert 75 milliliters (mL) to ounces (oz). Measurements can be expressed in different systems, such as the metric system and the imperial system, which is why conversion is important. The metric system uses units like meters and liters, while the imperial system uses units like feet and gallons.

When converting measurements, it is crucial to use the correct conversion factor, which is a numerical multiplier used to convert one unit to another. For this example, the conversion factor from mL to oz is approximately 29.5735. So, to convert mL into oz, you divide the number of mL by 29.5735.

Mathematical Calculations

Mathematical calculations play a pivotal role in unit conversion. They allow us to transform a number from one scale to another while maintaining the same overall value.

Understanding the mathematical operations required for conversion is crucial. Here, the primary operation is division. By dividing the initial value (75 mL) by the conversion factor (29.5735 mL/oz), we find the equivalent in ounces.

Here’s the process simplified:

• Identify the quantity you need to convert (75 mL).
• Use the correct conversion factor (1 oz = approximately 29.5735 mL).
• Perform the division: \(\text{ounces} = \frac{75}{29.5735}\)
• Calculate the result to get approximately 2.536 oz.

These steps highlight the importance of precision in calculations to ensure accurate conversions.

Metric to Imperial Conversion

Converting from metric to imperial systems, such as from milliliters to ounces, is common in many contexts. Each system has its own unique set of units, which can often lead to confusion without proper conversion techniques in place.

The metric system, which includes units like meters, liters, and grams, is used widely across the world. In contrast, the imperial system is mainly used in the United States and includes units like feet, gallons, and ounces.

In this exercise, converting from the metric unit of milliliters to the imperial unit of ounces requires understanding the relationship between these units. You perform the conversion using a standard conversion factor (1 oz = 29.5735 mL). This factor is used because it provides a consistent method for translating between these two systems.

Awareness of these conversions is important not just in academic settings, but also in real-world applications, such as cooking and international trade, where measurements need to be accurately interpreted and applied across different measurement systems.