Math Problem Statement

Convert to Celsius. Use the formula Cequals=five ninths 5 9 times •​(Fminus−​32). 187187degrees° F

Solution

To convert 187F187^\circ F to Celsius using the formula:

C=59×(F32)C = \frac{5}{9} \times (F - 32)

Substitute F=187FF = 187^\circ F into the formula:

C=59×(18732)C = \frac{5}{9} \times (187 - 32)

First, calculate 18732187 - 32:

18732=155187 - 32 = 155

Now, multiply 155155 by 59\frac{5}{9}:

C=59×155=775986.11CC = \frac{5}{9} \times 155 = \frac{775}{9} \approx 86.11^\circ C

So, 187F187^\circ F is approximately 86.11C86.11^\circ C.

Would you like more details or have any questions?

Here are some related questions:

  1. What is the formula for converting Celsius back to Fahrenheit?
  2. How would you convert temperatures in Kelvin to Celsius?
  3. Why does water boil at different temperatures at different altitudes?
  4. What are some examples of where temperature conversion is used in daily life?
  5. How does absolute zero relate to Fahrenheit and Celsius?

Tip: Always subtract 32 from the Fahrenheit temperature before multiplying by 59\frac{5}{9} for accurate conversion.

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Math Problem Analysis

Mathematical Concepts

Algebra
Temperature Conversion

Formulas

C = (5/9) × (F - 32)

Theorems

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Suitable Grade Level

Grades 5-7