15 Aug, 2024
· Mathematics · Physics

How to convert 50c to f

Short Answer
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Long Explanation

Explanation

Conversion formula

To convert temperatures from Celsius (50°C) to Fahrenheit (°F), use the following formula:

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

Applying the formula

Plug in the Celsius value (50°C) into the formula to find the equivalent Fahrenheit temperature:

F=(95×50)+32F = \left( \frac{9}{5} \times 50 \right) + 32

Step-by-step calculation

  1. Multiply by 95\frac{9}{5}:

    95×50=90\frac{9}{5} \times 50 = 90

  2. Add 32:

    90+32=12290 + 32 = 122

Result

Thus, 50°C is equal to 122 degrees 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.

physics
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(F−32)C = \frac{5}{9} \left( F - 32 \right)

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

C=59(77−32)=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=K−273.15C = K - 273.15

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

C=298.15−273.15=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 Addition

Understanding the Relationship Between Multiplication and Addition

Multiplication and addition are two fundamental operations in mathematics that are closely related. Multiplication can be viewed as a form of repeated addition. This means that multiplying a number by an integer is equivalent to adding that number to itself multiple times.

For instance, consider the multiplication of 4 by 3:

4×34 \times 3

This can be expressed as:

4+4+44 + 4 + 4

This property is formally described by the definition of multiplication:

a×b=a+a+⋯+a⏟b timesa \times b = \underbrace{a + a + \cdots + a}_{b \text{ times}}

Commutative and Associative Properties

Both addition and multiplication are commutative, meaning the order of the numbers does not change the result:

a+b=b+aa + b = b + a a×b=b×aa \times b = b \times a

They are also associative:

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

Distributive Property

One of the most important properties that link multiplication and addition is the distributive property. This property states that multiplying a number by a sum of numbers is the same as doing each multiplication separately and then adding the results:

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

Examples

To see these properties in action, let's look at an example using the distributive property:

3×(4+5)3 \times (4 + 5)

According to the distributive property:

3×(4+5)=3×4+3×53 \times (4 + 5) = 3 \times 4 + 3 \times 5

So:

3×9=12+15=273 \times 9 = 12 + 15 = 27

Both sides are equal, demonstrating the intrinsic link between multiplication and addition. Understanding these properties helps in performing more complex arithmetic and solving algebraic expressions.