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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Scientific Notation", "Dimensional Analysis", "Unit Conversion" ], "new_concepts": [], "current_concepts": [ "Scientific Notation", "Dimensional Analysis", "Unit Conversion" ] } ## Identify given values and target unit Using the *Dimensional Analysis* and *Unit Conversion* knowledge points $$ \begin{aligned} &\text{Given value: } d = 0.83\text{ nanometers}\ &\text{Target unit: meters}\ &1\text{ nanometer (nm)} = 10^{-9}\text{ meters (m)} \end{aligned} $$ ## Convert nanometers to meters Using the *Unit Conversion* knowledge point $$ \begin{aligned} d &= 0.83 \times 10^{-9}\text{ meters} \end{aligned} $$ ## Convert to standard scientific notation Using the *Scientific Notation* knowledge point $$ \begin{aligned} 0.83 &= 8.3 \times 10^{-1}\ d &= (8.3 \times 10^{-1}) \times 10^{-9}\text{ meters}\ d &= 8.3 \times 10^{-10}\text{ meters} \end{aligned} $$ The diameter of a certain atom is about $8.3 \times 10^{-10}$ meters. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Scientific Notation" ] }

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Identify given values and target unit

Convert nanometers to meters

Convert to standard scientific notation

Answer: