Mathematics Grade 6 15 min

Multiply and divide mixed customary units

Multiply and divide mixed customary units

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Introduction & Learning Objectives

Learning Objectives Convert between different customary units of length, weight, and capacity. Multiply a mixed customary unit by a whole number. Divide a mixed customary unit by a whole number. Simplify answers involving customary units to their simplest mixed form. Solve real-world problems involving the multiplication of mixed customary units. Solve real-world problems involving the division of mixed customary units. Ever wonder how much paint you need for 3 walls if each wall needs 2 gallons and 1 quart? 🎨 Or how to share 5 pounds and 8 ounces of candy equally among 4 friends? In this lesson, you'll learn how to multiply and divide measurements that combine different customary units, like feet and inches or pounds and ounces. This skill is super useful for everyda...
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Key Concepts & Vocabulary

TermDefinitionExample Customary UnitsStandard units of measurement used in the United States, such as inches, feet, yards, miles (length); ounces, pounds, tons (weight); cups, pints, quarts, gallons (capacity).Examples include '5 feet' for length, '2 pounds' for weight, and '1 gallon' for capacity. Mixed Customary UnitsA measurement expressed using two or more different customary units, where one unit is larger than the other.3 feet 5 inches (combines feet and inches) or 2 pounds 10 ounces (combines pounds and ounces). Conversion FactorA ratio used to convert one unit of measurement to another within the same system (e.g., 1 foot = 12 inches, so 12 is the conversion factor between feet and inches).To convert feet to inches, you multiply by the conversion fact...
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Core Formulas

Unit Conversion (Larger to Smaller) $$\text{Number of smaller units} = \text{Number of larger units} \times \text{Conversion Factor}$$ Use this rule when you need to express a measurement entirely in smaller units, which is often helpful before multiplying or dividing mixed units. For example, to convert feet to inches, multiply by 12. Unit Conversion (Smaller to Larger) $$\text{Number of larger units} = \text{Number of smaller units} \div \text{Conversion Factor}$$ Use this rule to simplify an answer or to express a measurement in mixed units. For example, to convert inches to feet, divide by 12. The quotient is the number of larger units, and the remainder (if any) stays in the smaller unit. Multiplying Mixed Customary Units $$(A \text{ unit1} + B \text{ unit2}) \tim...

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Sample Practice Questions

Challenging
A recipe that serves 6 people requires 2 pounds 4 ounces of chicken. How much chicken is needed to serve a party of 15 people?
A.5 pounds 8 ounces
B.5 pounds 10 ounces
C.6 pounds 0 ounces
D.4 pounds 14 ounces
Challenging
A factory machine packages 1 ton 500 pounds of product every day. How much product does it package in 5 days, expressed in tons and pounds?
A.6 tons 500 pounds
B.5 tons 500 pounds
C.7 tons 500 pounds
D.6 tons 2500 pounds
Challenging
The perimeter of a regular octagon (a shape with 8 equal sides) is 26 feet 8 inches. What is the length of one side of the octagon?
A.3 feet 2 inches
B.3 feet 3 inches
C.3 feet 6 inches
D.3 feet 4 inches

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