Question

For each of the following statements, change the given temperature to its corresponding equivalent in \({ }^{\circ} \mathrm{C}\) or \({ }^{\circ} \mathrm{F}\). (Round to the nearest tenth.) Store vaccine at \(6^{\circ} \mathrm{C}\). _______ \({ }^{\circ} \mathrm{F}\)

Short answer

The equivalent temperature is 42.8°F.

Step-by-step solution

Understand the Conversion Formula

To convert from Celsius to Fahrenheit, use the formula: \[ F = \frac{9}{5}C + 32 \] where \( C \) is the temperature in Celsius, and \( F \) is the temperature in Fahrenheit.

Substitute the Given Temperature

We are given that the temperature is \( 6^{\circ} \mathrm{C} \). Substitute this value into the formula:\[ F = \frac{9}{5} \times 6 + 32 \]

Calculate the Converted Temperature

First, perform the multiplication:\[ \frac{9}{5} \times 6 = 10.8 \]Next, add 32:\[ 10.8 + 32 = 42.8 \]

Round to the Nearest Tenth

The calculated Fahrenheit temperature is 42.8. It's already to the nearest tenth, so we do not need to round any further.

Key concepts

Celsius to Fahrenheit conversion

Converting between Celsius and Fahrenheit is a common task in temperature-related calculations. This conversion is crucial for understanding weather forecasts, cooking, and scientific experiments that require precise temperature measurements across different units. Knowing how to convert between these scales can help in many practical situations.

The formula to change Celsius to Fahrenheit is straightforward:

• Fahrenheit (\( F \)
• Celsius (\( C \)

For a given Celsius temperature, the formula is:\[F = \frac{9}{5}C + 32\]This formula comes from the fact that the Fahrenheit scale was designed to have a certain number of degrees between the freezing and boiling point of water. As a result, 1 degree Celsius is equal to 1.8 degrees Fahrenheit. Adding 32 shifts the scale to align the freezing points.

temperature formulas

Temperature formulas like Celsius to Fahrenheit conversion are vital tools in mathematics and science. They allow us to seamlessly switch between different measurement units. This adaptability enables people from around the world, who use either the metric or imperial systems, to communicate temperature data effectively.

Let's look deeper into the formula:\[F = \frac{9}{5}C + 32\]Each part of the formula has a purpose:

• \( \frac{9}{5} \)
• +32: This factor is added to shift the numerical value.

These adjustments ensure accurate conversion and are based on historical scientific observations.

temperature calculation

When calculating temperature conversions, it's important to follow each step accurately to ensure precision. Calculations in temperature conversion typically involve:

• Multiplication
• Addition
• Rounding, if necessary

By consistently applying the correct formula and steps, we can avoid errors and ensure accurate results.

For example, when converting \(6^{\circ} C\) to Fahrenheit, you begin by multiplying 6 by \( \frac{9}{5} \), which equals 10.8. The next step involves adding 32 to 10.8, giving you 42.8 degrees Fahrenheit. By following these steps systematically, you maintain accuracy in your calculation.

math practice

Math practice is essential for mastering concepts like temperature conversions. Regular practice helps build confidence and strengthen memory recall of formulas and calculation steps.

To enhance your temperature conversion skills, consider these tips:

• Practice different calculation scenarios: Convert temperatures from both Celsius to Fahrenheit and vice versa.
• Use real-world applications: Try converting temperatures from cooking recipes, weather reports, or scientific data.
• Set practice goals: Aim to solve a certain number of conversion problems each day.

Through consistent practice with a variety of examples, you can become proficient in handling temperature conversions quickly and accurately.