Tech Math: Rules Of Exponents & Scientific notation

 

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Relevant Material: "Rules of exponents have applications in finance (compound interest), science (population growth, radioactive decay, earthquake magnitude), and technology (computer data storage, physics simulations). They are used to simplify calculations involving very large or small numbers, which is crucial for understanding phenomena like the spread of diseases, measuring the strength of earthquakes, or managing data storage sizes in gigabytes or terabytes. 
Financial applications
  • Compound interest: Exponential rules are used to calculate how investments grow over time.
  • Economic and resource modeling: They help forecast economic trends and model resource depletion.
  • Insurance: Exponents are used in actuarial science to assess risk. 
Scientific and medical applications
  • Population growth and decay: Exponential functions model how populations grow or shrink over time.
  • Radioactive decay: They are used to calculate the rate at which radioactive substances decay.
  • Viral content and disease spread: Rules of exponents help model the rapid spread of information or infectious diseases.
  • Medicine: They can model the amount of a drug in the bloodstream over time. 
Technology and engineering applications
  • Data storage: Exponents are fundamental in computer science to describe data units like megabytes, gigabytes, and terabytes.
  • Computer physics: Exponents are used in physics engines for video games to simulate real-world movement and forces.
  • Engineering: They are used in various engineering disciplines for calculations and modeling. 
Scientific measurement applications
  • Richter scale: This scale for measuring earthquakes uses exponents, where each whole number increase represents a tenfold increase in amplitude.
  • pH scale: This scale for measuring acidity or basicity also uses exponents, with each whole number representing a tenfold difference in concentration. .." (Google)
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