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Create and Solve a Word Problem for 10 Divided by 1/3
Mathematics
Grade 6
Question Content
Higher Order Thinking: Write a word problem that can be solved by dividing 10 by 1/3. Then solve the problem.
Correct Answer
Sample word problem: "A baker has 10 cups of sugar. Each batch of cookies uses 1/3 cup of sugar. How many batches of cookies can the baker make?" Solution: 30 batches.
Detailed Solution Steps
1
Step 1: Create a valid word problem: Design a scenario where a total quantity (10) is split into equal portions of 1/3 each.
2
Step 2: Set up the calculation: Total quantity ÷ portion size = number of portions, so 10 ÷ (1/3).
3
Step 3: Solve the division: Multiply by the reciprocal: 10 × 3/1 = 30.
4
Step 4: State the final answer in the context of the word problem.
Knowledge Points Involved
1
Creating Fraction Division Word Problems
Constructing real-world scenarios that require dividing a whole number by a fraction, which involves identifying a total quantity and a fractional unit portion.
2
Reciprocal Method for Fraction Division
The rule that dividing by a fraction a/b is equivalent to multiplying by b/a (its reciprocal). This rule simplifies fraction division and is used for all whole number and fraction division problems.
3
Connecting Math Equations to Real Scenarios
Translating abstract mathematical operations (like 10 ÷ 1/3) into relatable word problems, and vice versa, to build understanding of how math applies to daily life.
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