Mathematics Grade 6 15 min

Unit prices with fractions and decimals

Unit prices with fractions and decimals

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1

Introduction & Learning Objectives

Learning Objectives Define unit price and explain its importance in consumer decisions. Calculate unit prices when given total cost and quantity involving whole numbers and decimals. Calculate unit prices when given total cost and quantity involving fractions or mixed numbers. Convert fractions to decimals to facilitate unit price calculations and comparisons. Compare unit prices of different products to determine the 'best buy'. Solve real-world problems involving unit prices with fractional and decimal quantities. Ever wonder which snack is the better deal at the store? 🧐 Knowing how to find the unit price can save you money! In this lesson, you'll learn how to calculate and compare unit prices, even when the amounts involve tricky fractions or decimals. T...
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Key Concepts & Vocabulary

TermDefinitionExample Unit PriceThe cost of one single unit of an item. It tells you how much you pay for one ounce, one pound, one liter, etc.If a 10-ounce bag of chips costs $2.50, the unit price is the cost per 1 ounce. RatioA comparison of two quantities by division. Unit price is a special type of ratio where the second quantity is 1 unit.The ratio of cost to quantity for a 10-ounce bag of chips costing $2.50 is $2.50 : 10 ounces. FractionA way to represent a part of a whole, written as a numerator over a denominator. Fractions can represent quantities or costs.A recipe calls for 1/2 cup of sugar. A store sells 3/4 pound of cheese. DecimalA number that uses a decimal point to represent parts of a whole, based on powers of ten. Money is almost always expressed in decimals.A candy bar...
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Core Formulas

Unit Price Formula $\text{Unit Price} = \frac{\text{Total Cost}}{\text{Quantity}}$ To find the unit price, always divide the total cost by the total quantity of the item. The unit price will tell you the cost per one unit of quantity. Converting Fractions to Decimals $\frac{a}{b} = a \div b$ To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). This is often helpful when comparing prices or performing calculations. Comparing Decimals Align the decimal points and compare digits from left to right, starting with the largest place value. When comparing unit prices that are decimals, make sure to line up the decimal points. Then, compare the digits in each place value from left to right. The number with the smaller digi...

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Sample Practice Questions

Easy
What is the definition of 'unit price' in consumer math?
A.The total cost of all items purchased.
B.The price of the largest item available.
C.The cost for one single unit of an item.
D.The discount applied to an item's price.
Easy
Which formula correctly calculates the unit price of an item?
A.Unit Price = Total Cost / Quantity
B.Unit Price = Quantity / Total Cost
C.Unit Price = Total Cost x Quantity
D.Unit Price = Quantity - Total Cost
Easy
A pack of 6 juice boxes costs $3.00. What is the unit price per juice box?
A.$2.00
B.$0.50
C.$18.00
D.$3.00

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