Add and subtract mixed customary units

Learning Objectives Identify common customary units of length, weight, and capacity. Convert between related customary units (e.g., feet to inches, quarts to gallons). Add mixed customary units, simplifying the sum when necessary. Subtract mixed customary units, including problems requiring regrouping. Solve real-world word problems involving the addition and subtraction of mixed customary units. Express answers in the simplest mixed customary unit form. Have you ever tried to combine ingredients for a recipe or measure a room for new furniture? 📏 Sometimes, measurements aren't just one number, like '5 feet,' but '5 feet 6 inches'! In this lesson, you'll learn how to add and subtract these 'mixed' customary units, like feet and inche...

TermDefinitionExample Customary UnitsA system of measurement commonly used in the United States, including units for length (inches, feet, yards, miles), weight (ounces, pounds, tons), and capacity (fluid ounces, cups, pints, quarts, gallons).1 foot, 5 pounds, 2 gallons are all customary units. Mixed Customary UnitsA measurement expressed using two or more different customary units, typically one larger unit and one smaller unit, to describe a single quantity.3 feet 8 inches is a mixed customary unit. Conversion FactorThe number used to multiply or divide when changing from one unit of measurement to another within the same system.The conversion factor between feet and inches is 12 (since 1 foot = 12 inches). Unit ConversionThe process of changing a measurement from one unit to another (e...

Rule for Adding Mixed Customary Units 1. Align units vertically. 2. Add the smaller units. 3. Add the larger units. 4. If the sum of the smaller units is equal to or greater than the conversion factor to the next larger unit, convert and carry over to the larger unit column. 5. Simplify the final answer. This rule helps combine two or more mixed measurements. Remember to carry over any 'extra' from the smaller unit column to the larger unit column, just like carrying tens in regular addition. Rule for Subtracting Mixed Customary Units 1. Align units vertically. 2. Compare the smaller units: if the top smaller unit is less than the bottom smaller unit, regroup from the larger unit. (e.g., borrow 1 from the larger unit and add its equivalent in smaller units to the top...