Mathematics Grade 5 15 min

Compare customary units by multiplying

Compare customary units by multiplying

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1

Introduction & Learning Objectives

Learning Objectives Identify common customary units of length, weight, and capacity. Recall and apply appropriate conversion factors for customary units. Multiply to convert a larger customary unit to a smaller customary unit. Compare two measurements given in different customary units by converting one unit. Solve real-world problems that require comparing customary units using multiplication. Explain the steps taken to convert and compare customary units. Ever wonder if a 2-liter soda bottle holds more than a gallon of milk? 🥛 Or if a 5-foot person is taller than someone who is 62 inches? Let's find out how to compare them! In this lesson, you'll learn how to compare different customary units of measurement, like inches and feet, or pounds and ounces, by using...
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Key Concepts & Vocabulary

TermDefinitionExample Customary UnitsA system of measurement commonly used in the United States, including units for length, weight, and capacity.Inches, feet, yards (for length); ounces, pounds, tons (for weight); cups, pints, quarts, gallons (for capacity). Unit ConversionThe process of changing a measurement from one unit to another without changing its value.Changing 2 feet into 24 inches is a unit conversion. Conversion FactorThe number used to multiply or divide when converting between two units. It represents the relationship between the two units.The conversion factor from feet to inches is 12, because 1 foot = 12 inches. LengthA measurement of distance from one point to another.The length of a pencil might be 7 inches. Units include inches, feet, yards, miles. WeightA measurement...
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Core Formulas

Converting Larger Customary Units to Smaller Customary Units \text{Value in smaller units} = \text{Value in larger units} \times \text{Conversion Factor} To compare measurements given in different customary units, you often need to convert one of them so both are in the same unit. When converting from a larger unit (like feet) to a smaller unit (like inches), you always multiply by the conversion factor. This makes sense because you will have 'more' of the smaller units. Common Customary Unit Conversion Factors \begin{array}{|l|l|} \hline \textbf{Length} & 1 \text{ foot (ft)} = 12 \text{ inches (in)} \\ & 1 \text{ yard (yd)} = 3 \text{ feet (ft)} \\ \hline \textbf{Weight} & 1 \text{ pound (lb)} = 16 \text{ ounces (oz)} \\ \hline \textbf{Capacity} & 1...

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Sample Practice Questions

Challenging
A piece of wood is 1 yard long. An artist cuts off a piece that is 10 inches long. The remaining piece is then compared to a 2-foot stick. Which is longer?
A.The remaining piece of wood
B.The 2-foot stick
C.They are the same length
D.Cannot be determined
Challenging
A rope is 4 yards long. A chain is 150 inches long. By how many inches is the chain longer than the rope?
A.6 inches
B.114 inches
C.146 inches
D.The rope is longer.
Challenging
Container A holds 2 quarts and 1 pint of water. Container B holds 5 pints of water. Which statement is true?
A.Container A holds more water.
B.Container B holds more water.
C.Both containers hold the same amount of water.
D.The amounts cannot be compared.

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