Convert between customary and metric systems

Learning Objectives Identify common units in both customary and metric measurement systems. Recall or locate key conversion factors between customary and metric units. Apply dimensional analysis to set up and solve unit conversion problems. Perform calculations to convert measurements from one system to another. Determine when to multiply or divide by a conversion factor based on unit cancellation. Solve real-world problems involving conversions between customary and metric units. Ever wonder how a recipe from another country tells you to use 'grams' instead of 'cups'? 🌍 Or how far a 'kilometer' really is compared to a 'mile'? In this lesson, you'll learn how to switch between the two main measurement systems used around the wor...

TermDefinitionExample Customary SystemA system of measurement primarily used in the United States, which includes units like inches, feet, miles (for length), pounds, ounces (for mass/weight), and gallons, quarts (for volume).Measuring your height in feet and inches, or buying milk in gallons. Metric SystemA decimal-based system of measurement used by most countries worldwide, where units are related by powers of 10. Common units include meters (for length), grams (for mass), and liters (for volume).Measuring the length of a desk in centimeters, or buying soda in liters. Unit ConversionThe process of changing a measurement from one unit to another without changing the actual value or quantity it represents.Changing 1 foot into 12 inches, or 1 meter into 100 centimeters. Conversion FactorA...

General Conversion Formula $\text{New Measurement} = \text{Original Measurement} \times \text{Conversion Factor}$ To convert a measurement from one unit to another, multiply the original measurement by a conversion factor. The conversion factor is chosen so that the original unit cancels out, leaving the desired unit. Setting Up Conversion Factors (Dimensional Analysis) $\text{Original Quantity} \times \frac{\text{Desired Unit}}{\text{Original Unit}} = \text{Desired Quantity}$ When using dimensional analysis, arrange the conversion factor as a fraction. Place the unit you want to eliminate in the denominator and the unit you want to obtain in the numerator. This ensures the original unit cancels out algebraically, leaving you with the desired unit. Reciprocal Conversion...