Mathematics
Grade 7
15 min
Division facts to 12: word problems
Division facts to 12: word problems
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1
Introduction & Learning Objectives
Learning Objectives
Identify keywords and phrases that indicate division in word problems.
Translate real-world scenarios into mathematical division expressions using facts up to 12.
Accurately solve division word problems involving dividends and divisors up to 12.
Correctly interpret the meaning of remainders within the context of various word problems.
Formulate clear and complete answers to division word problems, including appropriate units.
Check the reasonableness of their solutions to division word problems.
Ever wondered how to fairly share a large batch of cookies among your friends 🍪, or how many teams you can form from a group of players? ⚽ Division helps us split things up equally!
In this lesson, we'll dive into solving word problems that require you to...
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Key Concepts & Vocabulary
TermDefinitionExample
DividendThe total number or quantity that is being divided or shared.In the problem '24 cookies shared among 6 friends,' 24 is the dividend.
DivisorThe number by which the dividend is divided; it represents the number of equal groups or the size of each group.In the problem '24 cookies shared among 6 friends,' 6 is the divisor.
QuotientThe result of a division problem; it tells us how many are in each group or how many groups there are.If 24 cookies are shared among 6 friends, the quotient is 4, meaning each friend gets 4 cookies.
RemainderThe amount left over after dividing one number by another, when the division is not exact.If 25 cookies are shared among 6 friends, each gets 4 cookies, and there is 1 cookie left over. 1 is the remainder.
Divis...
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Core Formulas
Basic Division Equation
$$ \text{Dividend} \div \text{Divisor} = \text{Quotient} $$
This is the fundamental structure for any division problem. Identify the total amount (dividend) and the number of groups or items per group (divisor) to find the unknown (quotient).
Checking Division with Remainder
$$ (\text{Quotient} \times \text{Divisor}) + \text{Remainder} = \text{Dividend} $$
Use this rule to verify your division answer, especially when there's a remainder. Multiply your quotient by the divisor, then add the remainder. The result should equal your original dividend.
Interpreting Remainders
The remainder represents the quantity that cannot be fully distributed or grouped according to the divisor.
The interpretation of a remainder depends on the context of the...
5 more steps in this tutorial
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Challenging
A school starts with 100 pencils. They give 4 pencils to each of the 10 students in the art club. The remaining pencils are then bundled into packs of 8. How many full packs can be made?
A.12 packs
B.8 packs
C.7 packs
D.5 packs
Challenging
A group of 50 students needs to be transported in vans that can each hold a maximum of 8 students. The last van will not be full. How many empty seats will be in the last van?
A.6 empty seats
B.2 empty seats
C.7 vans are needed
D.5 empty seats
Challenging
A farmer had a large basket of apples. He set aside 5 apples for a pie and then divided the rest equally among his 9 neighbors. Each neighbor received 11 apples. How many apples were in the basket originally?
A.94 apples
B.99 apples
C.103 apples
D.104 apples
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