Mathematics
Grade 7
15 min
Divide 2-digit numbers by 1-digit numbers: word problems
Divide 2-digit numbers by 1-digit numbers: word problems
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the division operation required in word problems.
Translate word problems involving division into numerical expressions.
Perform division of 2-digit numbers by 1-digit numbers accurately.
Interpret remainders in the context of real-world word problems.
Formulate complete and sensible answers to division word problems.
Apply division skills to solve practical scenarios.
Ever wonder how many cookies each friend gets if you share a batch evenly? 🍪 Division helps us split things fairly!
In this lesson, you'll learn how to tackle word problems that require dividing a 2-digit number by a 1-digit number. This skill is crucial for solving everyday sharing and grouping challenges, making you a problem-solving pro!
Real-World Applications
Sharin...
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Key Concepts & Vocabulary
TermDefinitionExample
DividendThe total number or amount that is being divided into smaller parts or groups.In the problem '48 apples are shared among 6 baskets,' 48 is the dividend.
DivisorThe number by which the dividend is divided; it represents the number of groups or the size of each group.In the problem '48 apples are shared among 6 baskets,' 6 is the divisor.
QuotientThe result obtained from dividing one number by another; it tells us how many are in each group or how many groups there are.If 48 divided by 6 is 8, then 8 is the quotient.
RemainderThe amount left over after a division when the dividend cannot be divided exactly by the divisor.If 45 divided by 7 is 6 with a remainder of 3, then 3 is the remainder.
Word ProblemA mathematical problem presented in a...
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Core Formulas
Division Algorithm
$Dividend = Divisor \times Quotient + Remainder$
This fundamental rule defines the relationship between the parts of a division problem. It's used to check the accuracy of your division and understand how remainders fit into the overall calculation.
Steps for Solving Word Problems
1. Read and Understand the problem. 2. Plan the operation (identify keywords for division). 3. Execute the calculation (perform the division). 4. Check and Interpret the answer, especially the remainder. 5. State the final answer in a complete sentence.
This systematic approach helps break down complex word problems into manageable steps, ensuring you address all parts of the question and provide a meaningful answer.
Interpreting Remainders in Context
When a remainder...
5 more steps in this tutorial
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Sign Up Free to ContinueSample Practice Questions
Easy
In the word problem, "A librarian has 84 books to place equally on 7 shelves," what is the correct mathematical term for the total number of books (84)?
A.Dividend
B.Divisor
C.Quotient
D.Remainder
Easy
A team of 9 players shares 45 water bottles equally. In this scenario, what is the number 9, which represents the number of groups the bottles are being divided into?
A.Dividend
B.Divisor
C.Quotient
D.Product
Easy
A baker made 72 cookies and wants to pack them into boxes, with 8 cookies in each box. How many boxes can the baker fill completely?
A.7 boxes
B.8 boxes
C.9 boxes
D.10 boxes
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