Imperial System Conversions Cheat Sheet

Master the conversion between imperial and metric units for mass, length, area, volume, and temperature. Understand the historical context and practical application of the imperial system.

Core Principles

• The imperial system lacks a consistent pattern, requiring memorization or conversion sheets.
• The metric system is decimal-based, simplifying conversions.
• Conversions involve multiplying or dividing by a specific conversion factor.
• Matching units in conversion formulas is crucial for accuracy.
• Temperature conversion requires distinct formulas for Celsius to Fahrenheit and vice versa.

Action Steps

• Identify the starting unit and the target unit.
• Find the correct conversion factor between the two units.
• Determine whether to multiply or divide based on the conversion factor.
• Set up the conversion formula, ensuring units cancel correctly.
• Perform the calculation to find the converted value.
• For temperature, use the specific Celsius-Fahrenheit conversion formulas.

Formulas

• $ \frac{x \text{ (unit 1)}}{\text{value we want converted (unit 2)}} = \frac{1 \text{ (unit 1)}}{\text{conversion number (unit 2)}} $ (Division)
• $ \frac{x \text{ (unit 1)}}{\text{value we want converted (unit 2)}} = \frac{\text{conversion number (unit 1)}}{1 \text{ (unit 2)}} $ (Multiplication)
• $ \frac{9}{5} \text{°C} + 32 = \text{°F} $
• $ \frac{5}{9} (\text{°F} - 32) = \text{°C} $

Key Terms

• Imperial System: A system of weights and measures developed in Britain, used primarily in the United States.
• Metric System: A decimal-based system of weights and measures, used widely around the world.
• Conversion Factor: A number used to multiply or divide a quantity in order to convert to a different unit.
• Celsius: The base unit of temperature in the metric system (°C).
• Fahrenheit: A scale of temperature, with the freezing point of water at 32°F and the boiling point at 212°F (°F).

Timeline

• Early 19th Century: Imperial system developed by Britain and spread globally.
• Present Day: Imperial system officially used mainly in Myanmar, Liberia, and the United States.