Mathematics
Grade 6
15 min
Divide money amounts
Divide money amounts
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Divide whole dollar amounts by whole numbers.
Divide dollar amounts with cents by whole numbers using long division.
Accurately place the decimal point in the quotient when dividing money.
Interpret remainders in money division problems and express them as cents.
Round divided money amounts to the nearest cent when necessary.
Solve real-world problems involving the division of money.
Ever had to split the cost of a pizza with friends? 🍕 Or share prize money equally among a group? 🤔
In this lesson, you'll learn the essential skill of dividing money amounts accurately. This skill is super useful for sharing costs, calculating individual shares, and managing budgets in everyday life, ensuring everyone gets their fair share!
Real-World Applications...
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Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe mathematical operation of splitting a quantity into equal parts or groups.If you have $10 and divide it by 2, each person gets $5.
DividendThe total amount being divided; in this context, it's the total money amount.In $25.50 \div 5$, the dividend is $25.50.
DivisorThe number by which the dividend is divided; it represents the number of equal parts or groups.In $25.50 \div 5$, the divisor is 5.
QuotientThe result of a division problem; it represents the amount in each equal part or group.If $25.50 \div 5 = 5.10$, the quotient is $5.10.
Decimal PointA symbol used to separate the whole number part from the fractional part (cents from dollars) in a money amount.In $12.75, the decimal point separates the 12 dollars from the 75 cents.
RemainderThe amount...
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Core Formulas
Basic Money Division Formula
$\text{Total Money} \div \text{Number of Shares} = \text{Share per Person}$
This fundamental rule applies to all money division problems. You take the total amount of money and divide it by the number of people or parts to find out how much each person or part receives.
Decimal Point Placement Rule
When performing long division with money amounts, place the decimal point in the quotient directly above the decimal point in the dividend.
This rule ensures that your dollars and cents remain correctly aligned throughout the division process, preventing errors in the value of your answer.
Rounding to the Nearest Cent Rule
If the digit in the thousandths place (third decimal place) is 5 or greater, round up the digit in the hundredths place (seco...
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Challenging
Three friends agree to split the cost of a video game that costs $59.99. They each pay an equal amount, rounded to the nearest cent. After they each pay their share, what is the result?
A.They will have the exact amount needed.
B.They will be short by $0.01.
C.They will have an extra $0.01.
D.They will have an extra $0.02.
Challenging
A bill was split equally among 7 friends. Each paid $18.43, which was the exact amount per person after rounding to the nearest cent. The total amount collected was $0.02 more than the actual bill. What was the actual bill?
A.$129.01
B.$128.99
C.$129.03
D.$128.98
Challenging
A family's monthly income is $4,200. They budget 1/8 of their income for groceries. If there are 4 people in the family, what is the grocery budget per person for the month?
A.$131.25
B.$525.00
C.$1,050.00
D.$125.50
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