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As the number of significant figures increases, uncertainty decreases.a.Falseb.True

Question

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Solution

Question Analysis

The statement "As the number of significant figures increases, uncertainty decreases" concerns the principles of measurement and precision in scientific notation and data reporting.

Relevant Concepts

  1. Significant Figures: Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros only when a decimal point is present.
  2. Uncertainty: Uncertainty in a measurement reflects the range within which the true value is expected to lie. As the number of significant figures increases, the precision of the measurement increases, and hence the uncertainty typically decreases.

Evaluation of the Statement

Increasing the number of significant figures indicates a more precise measurement, which, in turn, means that the level of uncertainty associated with that measurement is lower. Therefore, the statement made is true.

Final Answer

b. True

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