Convert between customary and metric systems

Learning Objectives Identify common units in both the customary and metric systems. Recall or locate appropriate conversion factors between customary and metric units for length, mass, and volume. Set up and solve proportions to convert a given measurement from one system to another. Apply multiplication or division with conversion factors to convert between customary and metric units. Solve real-world problems that require converting measurements between the customary and metric systems. Determine the reasonableness of a converted measurement. Ever wonder how a recipe from another country tells you to use 'grams' instead of 'cups' or 'kilometers' instead of 'miles'? 🌍 In this lesson, you'll learn how to switch between the two m...

TermDefinitionExample Customary SystemA system of measurement primarily used in the United States, including units like inches, feet, miles (for length), ounces, pounds, tons (for mass/weight), and cups, pints, quarts, gallons (for volume).A person's height might be measured in feet and inches, or a bag of sugar in pounds. Metric SystemA decimal-based system of measurement used by most countries worldwide, including units like meters, kilometers (for length), grams, kilograms (for mass), and liters, milliliters (for volume).A race might be 100 meters long, or a bottle of water might contain 1 liter. Unit of MeasurementA standard quantity used to express a physical property, such as length, mass, or volume.Inches, centimeters, pounds, kilograms, gallons, and liters are all units of me...

Conversion using Proportions $\frac{\text{Quantity}_1 \text{ (Unit A)}}{\text{Quantity}_2 \text{ (Unit B)}} = \frac{\text{Quantity}_3 \text{ (Unit A)}}{\text{Quantity}_4 \text{ (Unit B)}}$ This rule uses a known conversion factor to set up an equation with two equal ratios. Make sure the units in the numerators match each other, and the units in the denominators match each other. Then, cross-multiply to solve for the unknown quantity. Conversion using Dimensional Analysis (Multiplication/Division) $\text{Given Measurement} \times \frac{\text{Target Unit}}{\text{Given Unit}} = \text{Converted Measurement}$ Multiply the given measurement by a conversion factor written as a fraction. Arrange the conversion factor so that the unit you want to convert *from* is in the denominator...