15 Aug, 2024
· Mathematics · Physics

What is 38 celsius to fahrenheit

Short Answer
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Long Explanation

Explanation

Converting 38 Celsius to Fahrenheit

Converting from Celsius to Fahrenheit is a common task. The formula to convert Celsius (°C) to Fahrenheit (°F) is:

°F=(°C×95)+32°F = (°C \times \frac{9}{5}) + 32

Step-by-Step Calculation

  1. Multiply the Celsius temperature by 9:

    38×9=34238 \times 9 = 342
  2. Divide the result by 5:

    3425=68.4\frac{342}{5} = 68.4
  3. Add 32 to the quotient:

    68.4+32=100.468.4 + 32 = \textbf{100.4}

Final Result

Therefore, 38 Celsius is equal to 100.4 Fahrenheit.

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Richard Hamilton

Physics Content Writer at Math AI

Richard Hamilton holds a Master’s in Physics from McGill University and works as a high school physics teacher and part-time contract writer. Using real-world examples and hands-on activities, he explains difficult concepts in physics effectively.

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Concept

Temperature Conversion Formula

Understanding Temperature Conversion Formula

Temperature conversion is an essential concept when dealing with different temperature scales, such as Celsius, Fahrenheit, and Kelvin. Each scale has its own applications and preferred usage in various regions and scientific disciplines.

Celsius to Fahrenheit Conversion

To convert temperature from Celsius (°C) to Fahrenheit (°F), the following formula is used:

F=(95×C)+32F = \left( \frac{9}{5} \times C \right) + 32

Example: If the temperature is 25°C, the conversion to Fahrenheit is:

F=(95×25)+32=77°FF = \left( \frac{9}{5} \times 25 \right) + 32 = 77°F

Fahrenheit to Celsius Conversion

Conversely, to convert temperature from Fahrenheit (°F) to Celsius (°C), the formula is:

C=59(F32)C = \frac{5}{9} \left( F - 32 \right)

Example: If the temperature is 77°F, the conversion to Celsius is:

C=59(7732)=25°CC = \frac{5}{9} \left( 77 - 32 \right) = 25°C

Celsius to Kelvin Conversion

Kelvin (K), the SI unit for temperature, is important in scientific research. To convert from Celsius (°C) to Kelvin (K), the formula is straightforward:

K=C+273.15K = C + 273.15

Example: If the temperature is 25°C, the conversion to Kelvin is:

K=25+273.15=298.15KK = 25 + 273.15 = 298.15K

Kelvin to Celsius Conversion

To convert from Kelvin (K) back to Celsius (°C), you use:

C=K273.15C = K - 273.15

Example: If the temperature is 298.15K, the conversion to Celsius is:

C=298.15273.15=25°CC = 298.15 - 273.15 = 25°C

Conclusion

Understanding these conversion formulas is crucial for accurate scientific measurement and daily applications. Each formula serves a specific need, whether you're working in a lab or simply trying to understand the weather report in a different country.

Concept

Multiplication And Division

Understanding Multiplication and Division

Multiplication and division are fundamental operations in mathematics that form the basis of many complex concepts.

Multiplication

Multiplication is the process of adding a number to itself a certain number of times. For example, multiplying 3 by 4 means adding 3 four times:

3×4=3+3+3+3=123 \times 4 = 3 + 3 + 3 + 3 = 12

Division

Division is essentially the opposite of multiplication. It involves splitting a number into equal parts. For instance, if you have 12 and you want to divide it into 3 equal parts, you perform:

12÷3=412 \div 3 = 4

This means that 12 can be split into three groups of 4.

Important Formulas

In most mathematical contexts, you'll encounter multi-line display formulas to better illustrate complex concepts. Here are the essential formulas:

Multiplication

a×b=b×aa \times b = b \times a

This property is known as commutativity. For example, 3×43 \times 4 is the same as 4×34 \times 3.

a×(b+c)=a×b+a×ca \times (b + c) = a \times b + a \times c

This formula demonstrates the distributive property of multiplication over addition.

Division

a÷b=cif and only ifa=b×ca \div b = c \quad \text{if and only if} \quad a = b \times c

This formula defines the relationship between multiplication and division.

Practical Applications

Both of these operations are extensively used in everyday life. Whether you're calculating your shopping bill or determining the number of hours needed to complete a task, understanding these fundamental operations is invaluable.

Conclusion

Mastering multiplication and division is critical for progressing in mathematics and solving real-world problems. These basic operations lay the groundwork for more advanced topics.