A choice of change of different units _________ the number of significant digits or figures in a measurement. 

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  1. None
  2. May or May not change
  3. Changes
  4. Does not change

Answer (Detailed Solution Below)

Option 4 : Does not change
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The correct answer is Does not change.

Key Points

  • Significant digits or figures represent the precision of a measurement and are intrinsic to the value, irrespective of the unit used.
  • Changing units (e.g., converting meters to centimeters) does not alter the number of significant digits but only scales the measurement.
  • Significant figures are determined by non-zero digits, zeros between non-zero digits, and trailing zeros in a decimal value, regardless of unit conversion.
  • For example, 2.00 meters (3 significant figures) remains 200.0 centimeters (3 significant figures) after unit conversion.
  • The concept ensures that the measurement's precision and accuracy are preserved during unit changes.

Additional Information

  • Significant Figures:
    • Non-zero digits are always significant.
    • Zeros between significant digits are significant (e.g., 102 has 3 significant figures).
    • Leading zeros are not significant (e.g., 0.002 has 1 significant figure).
    • Trailing zeros in a decimal number are significant (e.g., 2.00 has 3 significant figures).
  • Precision vs. Accuracy:
    • Precision refers to the closeness of repeated measurements to each other.
    • Accuracy refers to how close a measurement is to the true value.
    • Significant figures reflect precision but not necessarily accuracy.
  • Scientific Notation:
    • Used to represent very large or small numbers while maintaining significant figures.
    • E.g., 0.00045 can be written as 4.5 × 10⁻⁴ with 2 significant figures.
  • Unit Conversion:
    • Converting units involves multiplication or division by a conversion factor.
    • Significant figures are preserved during conversion (e.g., 1.5 meters = 150 centimeters).
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