Scientific notation (AA/AI SL 1.1)
Factual Questions | Conceptual Questions | Debatable 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)
- Understanding Scientific Notation:
- What is scientific notation and why is it used?
- How do you convert a decimal number to scientific notation?
- 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.
- Practical Application:
- Convert the number 0.00078000 back to scientific notation.
- Provide another example of a number in scientific notation with a positive exponent.
- 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:
Mathematical Constraints:
Part 2 - Checking your understanding
What is the result of (2 * 10^3) + (3 * 10^4
What is the result of (5.5 * 10^2) * (2 * 10^3)
What is the result of (9 * 10^6) / (3 * 10^2)?