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Chapter 7: Problem 398

In the following exercises, convert the Fahrenheit to degrees Celsius. Round to the nearest tenth. $$ 95^{\circ} \mathrm{F} $$

Short Answer

Expert verified
35掳颁

Step by step solution

01

Recall the Formula

The formula to convert Fahrenheit to Celsius is \[ C = \frac{5}{9} (F - 32) \]
02

Substitute the Given Temperature

Substitute the given temperature, 95掳F, into the formula: \[ C = \frac{5}{9} (95 - 32) \]
03

Perform the Subtraction

Calculate the value inside the parentheses: \[ 95 - 32 = 63 \] Now the formula looks like: \[ C = \frac{5}{9} \times 63 \]
04

Multiply by the Fraction

Multiply the result by the fraction: \[ C = \frac{5}{9} \times 63 = \frac{315}{9} = 35 \]
05

Round to the Nearest Tenth

Since 35 is already a whole number, rounding to the nearest tenth does not change the value. Therefore, the final answer is 35掳颁.

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Key Concepts

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

temperature conversions
Understanding temperature conversions is crucial in many scientific and everyday contexts. One common conversion is between Fahrenheit and Celsius. Fahrenheit is often used in the United States, while Celsius is used in most other parts of the world and scientific work.
The formula for converting Fahrenheit to Celsius is: \[ C = \frac{5}{9} (F - 32) \]
You can break it down into simple steps:
  • Subtract 32 from the Fahrenheit temperature.
  • Multiply the result by 5/9.
This formula helps in accurately converting temperatures from one scale to another, making it easier to understand and compare temperature values around the world.
prealgebra exercises
Prealgebra lays the foundation for all future math courses. It involves basic mathematical concepts that prepare students for algebra. Converting temperatures is a practical application of prealgebra.
To convert 95掳F to Celsius, follow these steps:
  • Recall the formula: \[ C = \frac{5}{9} (F - 32) \]
  • Substitute the Fahrenheit value (95掳F): \[ C = \frac{5}{9} (95 - 32) \]
  • Perform the subtraction inside the parentheses: \[ 95 - 32 = 63 \]
  • Multiply the result by the fraction: \[ \frac{5}{9} \times 63 = 35 \]
This approach simplifies complex problems, building confidence and proficiency in math. It's essential to understand each step and practice similar conversions to reinforce learning.
mathematical formulas
Mathematical formulas are tools that help solve problems efficiently. Knowing the right formula for a problem, like converting temperature, saves time and ensures accuracy.
The formula \[ C = \frac{5}{9} (F - 32) \]
is specific for converting Fahrenheit to Celsius. Each component has a role:
  • \

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Most popular questions from this chapter

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In the following exercises, simplify. $$ 0 \div \frac{2}{3} $$
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