Mathematics
Grade 6
15 min
Convert mixed customary units
Convert mixed customary units
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Introduction & Learning Objectives
Learning Objectives
Identify common customary units of length, weight, and capacity.
Recall conversion factors between common customary units (e.g., feet to inches, pounds to ounces).
Convert a measurement expressed in mixed customary units to a single smaller unit (e.g., 4 feet 8 inches to inches).
Convert a measurement expressed in a single smaller customary unit to mixed customary units (e.g., 75 ounces to pounds and ounces).
Apply conversion skills to solve real-world problems involving mixed customary units.
Accurately perform multiplication and division with whole numbers to complete unit conversions.
Ever wonder how much 'a few pounds and a couple of ounces' really is? 🤔 Or how many inches are in '5 feet 7 inches'? Let's find out!
In this le...
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Key Concepts & Vocabulary
TermDefinitionExample
Customary UnitsA system of measurement primarily used in the United States for length, weight, and capacity.Inches, feet, pounds, ounces, cups, gallons are all customary units.
Mixed Customary UnitsA measurement expressed using two different customary units, where one is a larger unit and the other is a smaller unit.3 feet 6 inches is a mixed customary unit measurement for length.
Conversion FactorA ratio that relates two different units of measurement, used to convert from one unit to another.The conversion factor between feet and inches is 1 foot = 12 inches.
LengthThe measurement of distance from one point to another.Common customary units of length include inches (in), feet (ft), yards (yd), and miles (mi).
WeightThe measurement of how heavy an object is.Common c...
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Core Formulas
Converting Larger to Smaller Unit
$ ext{Value in smaller unit} = ext{Value in larger unit} \times \text{Conversion Factor}$
To convert a measurement from a larger unit to a smaller unit, you multiply the value of the larger unit by the conversion factor that relates the two units. This is useful when you want to express everything in the smallest unit available.
Converting Smaller to Larger Unit
$ ext{Value in larger unit} = ext{Value in smaller unit} \div \text{Conversion Factor}$
To convert a measurement from a smaller unit to a larger unit, you divide the value of the smaller unit by the conversion factor. This is often the first step when converting a single small unit into mixed units.
Expressing in Mixed Units
$ ext{Total smaller units} = (\text{Larger unit} \t...
5 more steps in this tutorial
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Challenging
A student, Alex, tried to convert 60 ounces into pounds and ounces. His answer was 3 pounds and 12 ounces. What was Alex's mistake?
A.He divided by 12 (the factor for feet/inches) instead of 16.
B.He divided by 10 for simplicity.
C.He multiplied instead of dividing.
D.He correctly divided but swapped the quotient and remainder.
Challenging
A roll of ribbon is 10 feet 6 inches long. If it is cut into 3 equal pieces, how long is each piece?
A.3 feet 2 inches
B.3 feet 6 inches
C.3 feet 5 inches
D.4 feet 1 inch
Challenging
A 10-gallon aquarium is partially filled with 4 gallons and 3 quarts of water. How much more water, in quarts, is needed to fill the aquarium completely?
A.21 quarts
B.5 quarts
C.19 quarts
D.21 quarts
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