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1-3 Scientific Notation
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1-3 Scientific Notation

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Transcript

  • 1. Warm-up
    • Which number is the largest?
    • a. 1.13 x 10 9 b. 3.51 x 10 3 c. 5.88 x 10 5 d. 7.92 x 10 2
    • Which unit can be used to measure volume?
    • a. m b. m 2 c. m 3
    • Which of the following units is the longest?
    • a. meter b. centimeter c. kilometer d. millimeter
  • 2. 1-3 Scientific Notation
    • Perform calculations involving scientific notation.
    • Determine significant figures.
  • 3.  
  • 4. Law vs. Theory
    • Law – a rule of nature
    • Answers the question “what?”
    • Examples: Law of Attraction and Repulsion, Law of Universal Gravitation
    • Theory – An explanation based on repeated experimentation and observation.
    • Answers the question “why”
    • Examples: Theory of Evolution, Atomic Theory
  • 5. Law vs. Theory
    • Theories do not become laws!!! What doesn’t replace why!
    • A theory represents everything currently known about a topic.
  • 6. Scientific Notation
    • A number written as a product of two numbers: a coefficient and a power of 10
    • Designed for the expression of very big and very small numbers
      • 3.6 x 10 4
      • 1 gram of hydrogen contains 301,000,000,000,000,000,000,000 molecules
      • 3.01 x 10 23 molecules
    • 0.00081 = 8.1 x 10 -4
      • Decimal moves 4 place to the right
    • 34,000 = 3.4 x 10 4
      • Decimal move 4 places to the left
  • 7. Significant Figures
    • A method of expressing error in measurement.
    • Measure a value and then estimate one degree below the limit of the reading .
    • 5.35 cm
  • 8. Significant Figures
    • Atlantic – Pacific Rule
    • Pacific – "P" is for decimal point is present Count significant digits starting with the first non-zero digit from the left.
      • 0.004703 has 4 significant digits.
      • 18.00 also has 4 significant digits.
    • Atlantic – "A" is for decimal point is absent . Start counting significant digits with the first non-zero digit from the right.
      • 140,000 has 2 significant digits.
      • 20060 has 4 significant digits.
  • 9. Examples
    • 50.3
      • 3 SF
    • 0.0008
      • 1 SF
    • 200200
      • 4 SF
    • 57.00
      • 4 SF
    • 490
      • 2 SF
    • 10000000
      • 1 SF
  • 10. 1-3 Summary
    • What is scientific notation?
      • Scientific notation is used to express very large or very small numbers.
    • What are significant figures?
      • Significant figures tell us how important the numbers are.