Application: Rewriting the Temperature Conversion Formula
Grade 8 math students learn to rewrite the temperature conversion formula C = (5/9)(F-32) by applying properties of equality to isolate F, deriving F = (9/5)C + 32. This skill demonstrates how literal equations can be rearranged to solve for any variable. Covered in Big Ideas Math, Course 3, Chapter 1: Equations.
Key Concepts
The formula for converting a temperature from degrees Fahrenheit ($F$) to degrees Celsius ($C$) is a literal equation. It can be rewritten using the properties of equality to solve for $F$.
$$C = \frac{5}{9}(F 32)$$.
Common Questions
How do you rewrite the temperature conversion formula to solve for F?
Start with C = (5/9)(F-32). Multiply both sides by 9/5 to get (9/5)C = F-32. Then add 32 to both sides to get F = (9/5)C + 32.
What is the formula to convert Celsius to Fahrenheit?
To convert Celsius to Fahrenheit, use F = (9/5)C + 32. This is derived by rearranging the Celsius formula C = (5/9)(F-32) using properties of equality.
What is a literal equation?
A literal equation is a formula with multiple variables that can be rearranged to solve for any one of them using properties of equality. The temperature conversion formula is a common example.
Which textbook covers temperature conversion formulas for Grade 8?
This topic is in Big Ideas Math, Course 3, Chapter 1: Equations.
What grade level covers rewriting literal equations?
Rewriting literal equations including temperature conversion formulas is typically covered in Grade 8 math.