Mathematics Grade 4 15 min

Unit prices

Unit prices

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Introduction & Learning Objectives

Learning Objectives Define the term 'unit price' in their own words. Calculate the unit price of an item using division when given the total price and quantity. Compare the unit prices of two different items to determine the 'better buy'. Solve one-step and two-step word problems involving unit prices. Explain why the item with the lowest total price is not always the best value. Correctly write a unit price using dollar and cent notation (e.g., $0.50 per apple). Have you ever wondered if it's a better deal to buy a big bag of 10 cookies or two small bags of 5 cookies each? 🍪 Let's find out how math can make you a super-smart shopper! In this lesson, we will learn about 'unit prices'. A unit price tells you the cost of just ONE of so...
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Key Concepts & Vocabulary

TermDefinitionExample PriceThe total amount of money you have to pay for an item or a group of items.A box of 8 crayons costs $4.00. The price is $4.00. QuantityThe number of items you are getting for a certain price.A box of 8 crayons costs $4.00. The quantity is 8 crayons. UnitA single item or a single measure of something (like one crayon, one ounce, or one can).In a box of 8 crayons, one single crayon is the unit. Unit PriceThe cost for one single unit of an item. It helps you compare items fairly.If 8 crayons cost $4.00, the unit price is $0.50 for one crayon. Better BuyThe item that has the lowest unit price. It's also called the 'best value'.If Brand A pencils are $0.25 each and Brand B pencils are $0.30 each, Brand A is the better buy.
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Core Formulas

The Unit Price Formula \text{Unit Price} = \frac{\text{Total Price}}{\text{Quantity}} To find the cost of one item, you divide the total price by the number of items (the quantity). Always put the money on top in your division problem! The Comparison Rule \text{Lower Unit Price} = \text{Better Buy} When comparing two products, calculate the unit price for each one. The product with the smaller unit price is the better deal because you pay less for each single item.

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Sample Practice Questions

Challenging
If the total price of a pack of crayons doubles from $2 to $4, but the quantity of crayons in the pack also doubles from 10 to 20, what happens to the unit price?
A.The unit price doubles.
B.The unit price is cut in half.
C.The unit price stays the same.
D.The unit price becomes zero.
Challenging
Leo wants to buy yogurt. A pack of 4 costs $3.00. A pack of 6 costs $4.80. Leo says, 'The pack of 4 costs less money, so it's the better buy.' Which statement best explains why Leo's reasoning is incorrect?
A.Leo is correct because $3.00 is less than $4.80.
B.Leo is incorrect because the pack of 6 has a lower unit price of $0.80, while the pack of 4 has a unit price of $0.75.
C.Leo is incorrect because he should only compare the quantity of yogurts, not the price.
D.Leo is incorrect because he compared total prices instead of unit prices; the pack of 4 costs $0.75 each while the pack of 6 costs $0.80 each.
Challenging
A 5-ounce bag of chips costs $2.00. A 12-ounce bag of chips costs $4.20. What is the unit price per ounce for the better buy?
A.$0.40 per ounce
B.$0.35 per ounce
C.$2.20 per ounce
D.$0.50 per ounce

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