Question

Convert the following to the equivalent measures indicated. \(2 \mathrm{tbs}=\) ______ \(\mathrm{mL}\)

Short answer

2 tablespoons is approximately 29.57 mL.

Step-by-step solution

Understand the Conversion Factor

To convert tablespoons to milliliters, we need to use the known conversion factor: 1 tablespoon is approximately equal to 14.7868 milliliters.

Set Up the Conversion Equation

Using the conversion factor, we can set up the equation to convert 2 tablespoons to milliliters. The equation is: \( 2 \, \text{tbs} \times 14.7868 \frac{\text{mL}}{\text{tbs}} \).

Perform the Multiplication

Multiply the number of tablespoons by the conversion factor: \( 2 \times 14.7868 = 29.5736 \).

Conclude with the Equivalent Measure

The equivalent of 2 tablespoons in milliliters is approximately 29.5736 mL.

Key concepts

Mathematical Conversions

Mathematical conversions are crucial for converting one unit of measure to another. Whether it's converting tablespoons to milliliters or inches to centimeters, using conversions effectively allows us to understand and work with different systems and measurements more easily.
These conversions rely on conversion factors, which are predetermined values based on standard measurement systems, such as metric or imperial. In our exercise, the conversion factor between tablespoons and milliliters is key.
To perform a conversion, you multiply the given amount by the conversion factor. This translates your original unit (tablespoons) into the desired unit (milliliters). Understanding these conversions is not only essential for measurements, but also helps in various other mathematical contexts, like scientific calculations and real-world problem solving.

Unit Conversion

Unit conversion is the process of changing a measurement from one unit to another without altering its value. It is incredibly helpful in making different measurements compatible, especially when dealing with various systems like metric and imperial.
In the example of converting tablespoons to milliliters, unit conversion lets us express the same volume in both units. This is particularly useful in scenarios like cooking or baking, where recipes might use different systems.

• Identify the units involved – in this case, tablespoons and milliliters.
• Find the conversion factor – here, 1 tablespoon equals approximately 14.7868 milliliters.
• Apply the conversion by multiplying the original measurement by the conversion factor.

Unit conversion ensures both precision and flexibility across numerous tasks. By mastering it, you enhance your problem-solving skills and adaptability in carrying out everyday activities.

Multiplication in Measurement Conversions

Multiplication is the primary mathematical operation in measurement conversions, making the process straightforward and efficient. By multiplying the original measurement by the conversion factor, you derive the new value in the desired unit of measure.
Let's take our exercise of converting 2 tablespoons to milliliters. We multiply 2 tablespoons by the conversion factor of 14.7868 to determine the equivalent milliliters. This results in the equation: \[2 imes 14.7868 = 29.5736\]This process reinforces the importance of multiplication in ensuring accurate conversions.
Using multiplication in this context allows for a consistent and systematic approach to converting units, ensuring that you maintain the integrity of the original measurement while transitioning between different units.