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Convert the following to the equivalent measures indicated. \(4 \mathrm{tsp}=\) ______ \(\mathrm{mL}\)

Short Answer

Expert verified
4 tsp is approximately 19.72 mL.

Step by step solution

01

Understand the Conversion Factor

First, we need to understand the conversion factor between teaspoons (tsp) and milliliters (mL). It is known that 1 teaspoon is equivalent to approximately 4.92892 milliliters.
02

Apply the Conversion Factor

Since 1 teaspoon = 4.92892 mL, we multiply the number of teaspoons by this factor. Thus, for 4 tsp, the calculation is: \[ 4 \text{ tsp} \times 4.92892 \text{ mL/tsp} = 19.71568 \text{ mL} \]
03

Round the Result Appropriately

The result can be rounded to the nearest hundredth for simplicity in practical scenarios: \[ 19.71568 \text{ mL} \approx 19.72 \text{ mL} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Measurement
Measurement is a fundamental concept in both everyday life and scientific research. It allows us to quantify the world around us, providing a specific value to the size, length, volume, and weight of various objects or substances. Measurements help in comparing and understanding different objects accurately. They are essential in cooking, construction, and many other areas of life.
For instance, when following a recipe, precise measurements ensure that the dish turns out as expected each time. Measurements in recipes are typically done in units like teaspoons, tablespoons, or cups for liquids and solids. In this way, understanding how to measure accurately and convert those measurements into different units becomes very important. For accurate measurement, it is crucial to ensure that the measuring tool used is properly leveled and aligned as intended.
Metric System
The metric system is an internationally recognized system of measurement that simplifies conversions by using units based on powers of ten. This system includes fundamental units like meters (m) for length, kilograms (kg) for weight, and liters (L) for volume, along with derived units such as milliliters (mL) and grams (g). The metric system is widely used around the world due to its simplicity and ease of understanding.
One of the many virtues of the metric system is its straightforward conversion system. For example, converting between milliliters and liters involves shifting the decimal point, as 1 liter is equivalent to 1000 milliliters. Being comfortable with the metric system can significantly ease daily tasks such as cooking or shopping, where many products are labeled using these units.
Mathematics
Mathematics is a broad discipline that involves the study of numbers, quantities, and shapes. It provides tools and frameworks to solve problems, analyze data, and calculate measurements accurately. Mathematics helps us make predictions, compute distances, and understand relationships, integral to our conversion tasks.
In the context of unit conversion, mathematics is used to manipulate measurements through multiplication or division to determine equivalent values in different units. This is where knowledge of conversion factors, such as the fact that 1 teaspoon equals approximately 4.92892 milliliters, becomes essential. Factor-based calculations, like multiplication and division, are core mathematical operations used in these conversions.
Arithmetic Operations
Arithmetic operations are the basic operations of mathematics including addition, subtraction, multiplication, and division. These operations are the building blocks for understanding and performing more complex mathematical tasks.
In unit conversions such as the one from teaspoons to milliliters, multiplication is particularly essential. Multiplying the known value (teaspoons) by the conversion factor gives the equivalent value in the new unit (milliliters). For example, if you have 4 teaspoons and each teaspoon equals 4.92892 mL, you multiply 4 by 4.92892 to find the total milliliters.
By mastering these arithmetic operations, anyone can efficiently perform conversions and handle numerical problems encountered in school, work, or daily life.

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