Mathematics Grade 5 15 min

Convert between metric and customary units

Convert between metric and customary units

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1

Introduction & Learning Objectives

Learning Objectives Identify common metric units of length, mass, and capacity. Identify common customary units of length, weight, and capacity. Recall approximate conversion factors between common metric and customary units. Use multiplication to convert between units when the new quantity is numerically larger. Use division to convert between units when the new quantity is numerically smaller. Solve real-world problems involving conversions between metric and customary units. Have you ever wondered if a recipe from another country would fit your measuring cups? 🌍 Or how far a 10-kilometer race is in miles? Let's find out how to speak the language of different measurements! In this lesson, you'll learn how to switch between two major systems of measurement: the...
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Key Concepts & Vocabulary

TermDefinitionExample Metric SystemA system of measurement based on units of ten, used by most countries worldwide. Key units include meters for length, liters for capacity, and grams for mass.A soda bottle might hold 2 liters of liquid. A person's height might be 1.5 meters. Customary SystemA system of measurement primarily used in the United States. Key units include inches, feet, and miles for length; ounces and pounds for weight; and cups, quarts, and gallons for capacity.A ruler is usually 12 inches (1 foot) long. A carton of milk might be 1 gallon. Conversion FactorA number used to change one unit of measurement to another. It represents the relationship between two different units.The conversion factor from inches to centimeters is 2.54, because 1 inch = 2.54 centimeters. Leng...
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Core Formulas

Rule for Multiplying in Conversions `\text{New Quantity} = \text{Original Quantity} \times \text{Conversion Factor}` Use multiplication when converting from a unit to another unit that results in a numerically larger value for the same quantity. For example, converting inches to centimeters (1 inch becomes 2.54 cm, so you multiply by 2.54). Rule for Dividing in Conversions `\text{New Quantity} = \text{Original Quantity} \div \text{Conversion Factor}` Use division when converting from a unit to another unit that results in a numerically smaller value for the same quantity. For example, converting centimeters to inches (1 cm becomes approximately 0.39 inches, which is 1 cm divided by 2.54). Common Length Conversion Factor (Inch to Centimeter) `1 \text{ inch} \approx 2.54...

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Sample Practice Questions

Challenging
A rectangular room is 12 feet long and 300 centimeters wide. What is the perimeter of the room in meters? (1 ft = 12 in, 1 in ≈ 2.54 cm, 1 m = 100 cm)
A.13.31 m
B.12.3 m
C.665.6 m
D.13.312 m
Challenging
A science worksheet asks: 'A package weighs 5 kilograms. How many inches is that? Use the conversion factor 1 kg ≈ 2.2 pounds.' What is the fundamental error in this question?
A.The conversion factor is incorrect.
B.It asks to convert a unit of mass (kilograms) to a unit of length (inches).
C.It is impossible to measure a package in kilograms.
D.The numbers are too difficult for a 5th grader.
Challenging
A large fish tank has a capacity of 30 gallons. It is currently filled with 80 liters of water. How many more LITERS of water are needed to fill the tank completely? (1 gallon ≈ 3.8 liters)
A.50 liters
B.114 liters
C.34 liters
D.The tank is already overflowing.

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