a 747 airplane weighs about 600,000 pounds. it can also be expressed as approximately $3 \times 10^n$ tons. if there are 2,000 pounds in 1 ton, which is the most reasonable value of $n$?

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Question

a 747 airplane weighs about 600,000 pounds. it can also be expressed as approximately $3 \times 10^n$ tons. if there are 2,000 pounds in 1 ton, which is the most reasonable value of $n$?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Scientific Notation", "Dimensional Analysis" ], "new_concepts": [], "current_concepts": [ "Scientific Notation", "Dimensional Analysis", "Units of Measurement" ] } ## Convert pounds to tons $$ \frac{600,000\text{ pounds}}{2,000\text{ pounds/ton}} = 300\text{ tons} $$ ## Express the weight in scientific notation $$ 300 = 3 \times 10^2 $$ ## Determine the value of n $$ \begin{aligned} 3 \times 10^n &= 3 \times 10^2 \ n &= 2 \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Scientific Notation" ] }

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Question

Explanation:

Convert pounds to tons

Express the weight in scientific notation

Determine the value of n

Answer: