Convert, compare, add, and subtract mixed customary units

Learning Objectives Recall common customary unit equivalencies for length, weight, and capacity. Accurately convert between different customary units (e.g., feet to inches, pounds to ounces). Compare mixed customary units by converting them to a common unit. Add mixed customary units, regrouping when necessary. Subtract mixed customary units, including borrowing from larger units. Solve real-world problems involving the conversion, comparison, addition, and subtraction of mixed customary units. Ever tried to bake a cake but the recipe calls for cups and you only have fluid ounces? Or maybe you're building something and need to know if 3 feet is longer than 40 inches? 📏 In this lesson, you'll become an expert at working with customary units of measurement. We&#039...

TermDefinitionExample Customary UnitsA system of measurement commonly used in the United States for length, weight, and capacity.Inches, feet, yards, miles (length); ounces, pounds, tons (weight); fluid ounces, cups, pints, quarts, gallons (capacity). Mixed UnitsA measurement expressed using two or more different units from the same category (e.g., length, weight, or capacity).3 feet 5 inches, 2 pounds 10 ounces, 1 gallon 3 quarts. Conversion FactorA ratio (fraction) used to convert a quantity from one unit to another. It represents the equivalency between two units.The conversion factor between feet and inches is 12 inches/1 foot or 1 foot/12 inches. Length UnitsCustomary units used to measure distance or how long something is.1 foot (ft) = 12 inches (in), 1 yard (yd) = 3 feet, 1 mile (m...

Unit Conversion Principle $$ ext{To convert a larger unit to a smaller unit, multiply by the conversion factor.}$$ $$\text{To convert a smaller unit to a larger unit, divide by the conversion factor.}$$ This rule helps you change a measurement from one unit to another. For example, to convert feet to inches, you multiply by 12 (since 1 foot = 12 inches). To convert inches to feet, you divide by 12. Adding Mixed Customary Units $$\text{1. Add the smaller units together.}$$ $$\text{2. Add the larger units together.}$$ $$\text{3. If the sum of the smaller units is equal to or greater than the next larger unit, convert and regroup (carry over) to the larger unit.}$$ When adding measurements like 'feet and inches', you add the inches first, then the feet. If the total i...