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Dimensional Analysis definitions

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  • Dimensional Analysis
    A systematic approach for converting between units by arranging conversion factors to cancel unwanted units and isolate the desired unit.
  • Conversion Factor
    A numerical ratio expressing the relationship between two units, used to bridge and convert quantities from one unit to another.
  • Given Amount
    The initial quantity and unit provided in a problem, serving as the starting point for unit conversion.
  • End Amount
    The final quantity and unit sought after completing all necessary conversions in a calculation.
  • Significant Figures
    Digits in a measurement that convey meaningful precision, determined by the initial data, not by conversion factors.
  • Metric Prefix
    A modifier attached to units in the metric system to indicate multiples or fractions, aiding in unit conversions.
  • Numerator
    The top part of a fraction in a calculation, often representing the quantity being converted.
  • Denominator
    The bottom part of a fraction in a calculation, typically containing units to be canceled or conversion factors.
  • Unit Cancellation
    The process of arranging units so that identical units on opposite levels of a fraction eliminate each other.
  • Calculator Entry
    The method of inputting numbers and operations, especially with multiple denominators, to ensure accurate results.
  • Intermediate Unit
    A temporary unit that appears during multi-step conversions, canceled out before reaching the final unit.
  • Fraction
    A mathematical expression with a numerator and denominator, used to represent conversion factors in calculations.
  • Ratio
    A comparative relationship between two quantities, foundational to expressing conversion factors.
  • Unit Isolation
    The outcome of arranging conversion factors so only the desired unit remains after all cancellations.