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Conversion Factors

Conversion Factors. Also Known as: Dimensional Analysis. Chapter 2. Conversion Factors. A conversion factor is a ratio derived from the equality between two different units that can be used to convert from one unit to the other. example: How quarters and dollars are related

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Conversion Factors

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  1. Conversion Factors Also Known as: Dimensional Analysis

  2. Chapter 2 Conversion Factors • A conversion factor is a ratio derived from the equality between two different units that can be used to convert from one unit to the other. • example: How quarters and dollars are related • 4 quarters equals one dollar • 4qu=1dol • 4qu/1dol =1

  3. Chapter 2 Conversion Factors, • Dimensional analysisis a mathematical technique that allows you to use units to solve problems involving measurements. • quantity sought = quantity given × conversion factor • example: the number of quarters in 12 dollars number of quarters = 12 dollars × conversion factor

  4. Section2 Units of Measurement Chapter 2 Conversion Factors, continued Deriving Conversion Factors • You can derive conversion factors if you know the relationship between the unit you have and the unit you want. • example: conversion factors for meters and decimeters = =

  5. Section2 Units of Measurement Chapter 2 SI Conversions

  6. Section2 Units of Measurement Chapter 2 Conversion Factors, continued • Sample Problem B • Express a mass of 5.712 grams in milligrams and in kilograms.

  7. Chapter 2 Conversion Factors, • Sample Problem B Solution • Express a mass of 5.712 grams in milligrams and in kilograms. • Given:5.712 g • Unknown:mass in mg and kg • Solution: mg • 1 g = 1000 mg • Possible conversion factors:

  8. Section2 Units of Measurement Chapter 2 Conversion Factors, • Sample Problem B Solution, Express a mass of 5.712 grams in milligrams and in kilograms. • Given:5.712 g • Unknown:mass in mg and kg • Solution: kg • 1 000 g = 1 kg • Possible conversion factors:

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