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Scientific notation (AA/AI SL 1.1)

Factual QuestionsConceptual QuestionsDebatable Questions
How do you convert a decimal number to scientific notation?Why is scientific notation a practical method for representing very large or very small numbers?Does the use of scientific notation in education enhance or hinder students' understanding of magnitude and scale?
Why must the coefficient in scientific notation be between 1 and 10?How does the exponent in scientific notation reflect the scale of the number being represented?Is reliance on technology for converting numbers into scientific notation impacting the fundamental numeracy skills of students?
Convert the number 0.00078000 back to scientific notation.What is the significance of maintaining a certain number of significant figures in scientific notation?In what situations might the precision implied by scientific notation be misleading or unnecessary?

Scientific notation (AA/AI SL 1.1)

  1. Understanding Scientific Notation:
    • What is scientific notation and why is it used?
    • How do you convert a decimal number to scientific notation?
  2. Mathematical Constraints:
    • Why must the coefficient a in scientific notation be between 1 and 10?
    • Explain why the exponent k is restricted to integer values.
  3. Practical Application:
    • Convert the number 0.00078000 back to scientific notation.
    • Provide another example of a number in scientific notation with a positive exponent.
  4. Conceptual Understanding:
    • How does changing the value of k affect the overall value of the number in scientific notation?
    • What is the significance of maintaining a certain number of significant figures in scientific notation?

Understanding Scientific Notation:

  • What is scientific notation and why is it used?
  • How do you convert a decimal number to scientific notation?

  • Practical Application:
    • Convert the number 0.00078000 back to scientific notation.
    • Provide another example of a number in scientific notation with a positive exponent.

Mathematical Constraints:

    • Why must the coefficient a in scientific notation be between 1 and 10?
    • Explain why the exponent k is restricted to integer values.

  • Conceptual Understanding:
    • How does changing the value of k affect the overall value of the number in scientific notation?
    • What is the significance of maintaining a certain number of significant figures in scientific notation?

Part 2 - Checking your understanding

Watch through this video before attempting the questions

What is the result of (2 * 10^3) + (3 * 10^4

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What is the result of (5.5 * 10^2) * (2 * 10^3)

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What is the result of (9 * 10^6) / (3 * 10^2)?

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Lesson plan - Mastering Scientific Notation

Scientific notation- Intuition pump (thought experiments and analogies)