rewrite the following statement using a number in scientific notation.
the diameter of a certain atom is about 0.78 nanometers. (recall that nano- means \billionth.\)

the diameter of a certain atom is about meters.
(type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.)

Question

rewrite the following statement using a number in scientific notation.
the diameter of a certain atom is about 0.78 nanometers. (recall that nano- means \billionth.\)

the diameter of a certain atom is about   meters.
(type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Scientific Notation", "Unit Conversion" ], "new_concepts": [], "current_concepts": [ "Scientific Notation", "Unit Conversion", "Metric Prefixes" ] } ## Convert nanometers to meters Using the *Unit Conversion* knowledge point $$ \begin{aligned} &1\text{ nanometer} = 10^{-9}\text{ meters}\ &0.78\text{ nanometers} = 0.78 \times 10^{-9}\text{ meters} \end{aligned} $$ ## Convert to scientific notation Using the *Scientific Notation* knowledge point $$ \begin{aligned} &0.78 = 7.8 \times 10^{-1}\ &0.78 \times 10^{-9} = (7.8 \times 10^{-1}) \times 10^{-9} = 7.8 \times 10^{-10} \end{aligned} $$ The diameter of a certain atom is about $7.8 \times 10^{-10}$ meters. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Scientific Notation" ] }

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Question

Explanation:

Convert nanometers to meters

Convert to scientific notation

Answer: