5.6.8 Lesson Summary

In this lesson, you learned how to:

• Describe the meaning of a negative exponent in equations that represent exponential growth and decay.
• Write equations that represent exponential growth and decay to solve problems.
• Graph an equation that represents exponential decay to solve a problem.
• Convert numbers between decimal form and scientific notation.
• Use scientific notation to solve problems arising from real-world situations.

Here are the activities that helped you reach those goals:

• 5.6.1: Checking Exponent Rules
  • In this activity, you reviewed performing operations with exponents, including negative exponents. You used the Product Property of Exponents to simplify the expressions.
• 5.6.2: Interpreting Negative Exponents in Exponential Growth
  • In this activity, you wrote an equation of exponential growth to represent a real-life situation. You interpreted the meaning of negative exponents in this equation. You used negative exponents in exponential growth equations to solve real-world problems.
  • 5.6.2: Self Check
  • 5.6.2: Additional Resources
• 5.6.3: Interpreting Negative Exponents in Exponential Decay
  • In this activity, you wrote an equation of exponential decay to represent a real-life situation. You also created a graph to represent the situation. You interpreted the meaning of negative exponents in this equation. You used negative exponents in exponential decay equations to solve real-world problems.
  • 5.6.3: Self Check
  • 5.6.3: Additional Resources
• 5.6.4: Applying Scientific Notation
  • In this activity, you converted values between decimal form and scientific notation.
  • 5.6.4: Self Check
  • 5.6.4: Additional Resources
• 5.6.5: Applying Scientific Notation
  • In this activity, you used what you know about scientific notation to solve real-world problems.
  • 5.6.5: Self Check
  • 5.6.5: Additional Resources
• 5.6.6: Interpreting Negative Exponents and Scientific Notation
  • In this activity, you interpreted negative exponents in a scenario about the population of fish. Then you changed between the standard from and the scientific notation at specific points.

After these activities, you completed the following practice:

• 5.6.7: Practice