QQuestionMathematics
QuestionMathematics
What is 100 divided by 3?
A. Thirty three point 3
B. 33.3
C. 33.3333333333333333333
D. 4
E. ???
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Answer
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Step 1:I'll solve this step-by-step using precise mathematical notation:
Step 2:: Perform the division
100 \div 3 = \frac{100}{3} = 33.3333333333333333333
Step 3:: Analyze the result
- This can be written as $$33.\overline{3}$$ (the bar over 3 indicates it repeats infinitely)
- The division of 100 by 3 results in a repeating decimal - The decimal repeats the digit 3 infinitely after the decimal point
Step 4:: Verify the options
- Option A: "Thirty three point 3" - This is a text description, not precise - Option B: 33.3 - This is close but truncates the repeating decimal - Option C: 33.3333333333333333333 - This matches the exact decimal representation - Option D: 4 - Completely incorrect - Option E: ??? - Ambiguous
Final Answer
Key Insight: When dividing 100 by 3, the result is an infinitely repeating decimal that can be represented with many 3s after the decimal point.
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