a person who is careless and disorganized most clearly ranks low on the big five trait dimension of

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Nature

A person who is careless and disorganized most clearly ranks low on the Conscientiousness dimension of the Big Five personality traits.

Explanation:

The Big Five personality traits include:

  1. Openness to Experience – creativity, curiosity, and willingness to try new things.
  2. Conscientiousness – organization, dependability, and discipline.
  3. Extraversion – sociability, assertiveness, and enthusiasm.
  4. Agreeableness – kindness, cooperation, and trust.
  5. Neuroticism – tendency toward emotional instability and negative emotions.

Since being careless and disorganized reflects a lack of discipline and poor organization, it indicates low conscientiousness.