QQuestionMathematics
QuestionMathematics
"What could 180÷15 mean in this situation?
Describe two different possible meanings of this expression.
Find the quotient.
Explain what it means in each case."
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Answer
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Step 1:I'll solve this problem step by step, following the specified formatting guidelines:
Step 2:: Understand the Basic Division
The expression $$180 \div 15$$ represents a division operation where 180 is the dividend and 15 is the divisor.
Step 3:: Possible Interpretations
- Again, $$\frac{180}{15} = 12
There are two primary ways to interpret this division: Interpretation 1: Partitive Division (Sharing) - This means dividing 180 into 15 equal groups - Example: If you have 180 cookies and want to distribute them equally among 15 people, each person would receive 12 cookies. Interpretation 2: Measurement Division (How many groups) - This means determining how many groups of 15 can be made from 180 - Example: If you have 180 items and want to create groups of 15, you can make 12 complete groups.
Step 4:: Calculation
180 \div 15 = 12
The quotient in both cases is:
Final Answer
The expression 180 \div 15 can mean: 1. Distributing 180 items into 15 equal groups (12 items per group) 2. Determining how many groups of 15 can be made from 180 (12 groups) In both interpretations, the result is 12.
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