Mathematics Grade 6 15 min

Divide money amounts: word problems

Divide money amounts: word problems

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Introduction & Learning Objectives

Learning Objectives Identify the dividend and divisor in word problems involving money. Perform division operations with decimal numbers representing money. Interpret the quotient in the context of a money word problem. Round money amounts to the nearest cent when necessary. Solve multi-step word problems involving division of money. Apply division of money to calculate unit prices or fair shares. Ever wondered how to split a restaurant bill evenly with friends, or figure out the cost per item when buying in bulk? 💸 In this lesson, you'll learn how to tackle word problems that involve dividing money. This skill is super useful for everyday situations, helping you make smart financial decisions and share costs fairly. Real-World Applications Splitting a restaurant...
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Key Concepts & Vocabulary

TermDefinitionExample DividendIn a division problem, the dividend is the total amount that is being divided or shared.If you have $25.00 to share among 5 friends, $25.00 is the dividend. DivisorIn a division problem, the divisor is the number of equal parts the dividend is being divided into.If you have $25.00 to share among 5 friends, 5 is the divisor. QuotientThe quotient is the result of a division operation; it tells you how much is in each equal part.If $25.00 is divided by 5, the quotient is $5.00, meaning each friend gets $5.00. Decimal PointA symbol used to separate the whole number part from the fractional part (cents) in a money amount.In $12.75, the decimal point separates the 12 dollars from the 75 cents. CurrencyThe system of money used in a particular country, often represen...
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Core Formulas

Division Algorithm for Money $\text{Total Money Amount} \div \text{Number of Parts} = \text{Amount per Part}$ This rule is used to find out how much money is in each equal share or how much a single unit costs. Decimal Placement in Division When dividing a decimal number (money) by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. This ensures that your answer correctly separates dollars from cents. If dividing by a decimal, first move the decimal in both the divisor and dividend until the divisor is a whole number. Rounding to the Nearest Cent To round a money amount to the nearest cent (two decimal places): Look at the third decimal place. If it is 5 or greater, round up the second decimal place. If it is less t...

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Sample Practice Questions

Challenging
A dinner bill for 5 friends is $94.50. They decide to add a 20% tip. If they split the total cost (bill + tip) equally, how much does each person pay?
A.$18.90
B.$3.78
C.$20.00
D.$22.68
Challenging
A team of 6 players buys 3 large pizzas at $14.80 each and two 2-liter bottles of soda at $2.50 each. If they split the total cost equally, how much does each player pay, rounded to the nearest cent?
A.$8.23
B.$7.40
C.$49.40
D.$8.24
Challenging
Two business partners, Maya and Liam, agree to share their company's profit of $3,500 in a ratio of 3:4, respectively. How much more money does Liam receive than Maya?
A.$500
B.$2,000
C.$1,500
D.$3,500

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