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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
• Examples: Law of Attraction and Repulsion, Law of Universal Gravitation
• Theory – An explanation based on repeated experimentation and observation.
• 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 – &quot;P&quot; 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 – &quot;A&quot; 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.