Unit prices with unit conversions

Learning Objectives Define unit price and explain its importance in real-world scenarios. Calculate the unit price of an item when given its total cost and quantity. Identify and apply appropriate unit conversion factors (e.g., ounces to pounds, milliliters to liters). Perform unit conversions accurately using multiplication or proportions. Calculate unit prices after performing necessary unit conversions. Compare the unit prices of different items, even with varying units, to determine the best value. Solve multi-step word problems involving unit prices and unit conversions. Ever wonder which size of your favorite snack is the best deal at the store? 🧐 Knowing how to compare prices can save you money! In this lesson, you'll learn how to calculate and compare unit p...

TermDefinitionExample Unit PriceThe cost of a single unit of an item. It tells you how much you pay for one ounce, one pound, one liter, or one item.If a 12-ounce box of cereal costs $3.60, the unit price is $0.30 per ounce. UnitA standard quantity or measure used to express the amount of something. Examples include ounces, pounds, milliliters, liters, feet, meters, etc.In '12 ounces of cereal', 'ounces' is the unit. Conversion FactorA ratio used to convert a quantity from one unit to another. It's a fraction where the numerator and denominator represent the same quantity but in different units (e.g., 16 ounces / 1 pound).To convert pounds to ounces, you use the conversion factor $\frac{16 \text{ ounces}}{1 \text{ pound}}$. ProportionAn equation that states that t...

Unit Price Formula $\text{Unit Price} = \frac{\text{Total Cost}}{\text{Quantity}}$ This formula is used to find the cost per single unit. Ensure the quantity is in the desired unit before dividing. Unit Conversion using Multiplication $\text{Quantity in New Unit} = \text{Quantity in Old Unit} \times \frac{\text{Value in New Unit}}{\text{Value in Old Unit}}$ To convert a quantity from one unit to another, multiply the original quantity by a conversion factor. The 'Old Unit' should cancel out, leaving the 'New Unit'. Unit Conversion using Proportions $\frac{\text{Known Old Unit Value}}{\text{Known New Unit Value}} = \frac{\text{Given Old Unit Quantity}}{\text{Unknown New Unit Quantity (x)}}$ Set up a proportion with known equivalent values on one si...