Creating Division Word Problems
Creating a division word problem for an expression like a divided by b means writing a real-world story where a is the total, b is either the group size or number of groups, and the answer is the quotient. This Grade 5 math skill from Eureka Math Chapter 25 covers division of fractions and decimal fractions and connecting expressions to contexts.
Key Concepts
To write a division story for an expression like $a \div b$, identify the total amount (the dividend, $a$) and what it is being divided by (the divisor, $b$). The story should ask a question where the answer is the quotient. The question will either be "How many groups of size $b$ are in $a$?" or "What is the size of each group if $a$ is shared into $b$ groups?".
Common Questions
How do you create a division word problem from an expression?
Identify the dividend as the total amount and the divisor as either the size of each group or the number of groups, then write a story where the question asks for the quotient.
What is an example of creating a word problem for 4 divided by 1/3?
A baker has 4 pounds of sugar. Each batch of cookies requires 1/3 of a pound. How many batches can the baker make? The answer is 4 divided by 1/3 equals 12 batches.
What is an example of creating a word problem for 1/2 divided by 5?
There is 1/2 of a pizza left. If 5 friends share it equally, what fraction of the whole pizza does each friend get? The answer is 1/2 divided by 5 equals 1/10.
What are the two types of questions a division word problem can ask?
A division word problem can ask either how many groups of a given size fit in the total (measurement) or how large each share is when the total is divided into a given number of groups (equal sharing).