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EXERCISING WITH EXPONENTS

EXERCISING WITH EXPONENTS. Uses of Exponents in Real Life By Patricia Crocker. Parts of an Exponent. Generations in Powers of Two. Why We Need Exponents. To write large numbers and small numbers more efficiently. 4,504,000,000 or .0000003847

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EXERCISING WITH EXPONENTS

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  1. EXERCISING WITH EXPONENTS Uses of Exponents in Real Life By Patricia Crocker

  2. Parts of an Exponent

  3. Generations in Powers of Two

  4. Why We Need Exponents • To write large numbers and small numbers more efficiently. 4,504,000,000 or .0000003847 • To compute with large and small numbers more easily. 3,000,000,000 x 478,000,000

  5. To work with very large or small numbers on a calculator. 4.67892305 E 25 • To write variable expressions more concisely.

  6. Astronomy “Whitebirds” by Roger Hopkins. Website: antwrp.gsfc.nasa.gov/apod/archivepix.html

  7. The Milky Way Composed for the Canadian Galactic Plane Survey (CGPS) by Jayanne English (CGPS/U. Manitoba) with the support of A.R. Taylor (CGPS/U. Calgary)

  8. Inner Planets The Nine Planets by Bill Arnett. Website: seds.lpl.arizona.edu/nineplanets/nineplanets/nineplanets.html

  9. Outer Planets The Nine Planets by Bill Arnett. Website: seds.lpl.arizona.edu/nineplanets/nineplanets/nineplanets.html

  10. Animated Distance Between Planets • http://earthsci.terc.edu/content/visualizations/es2701/es2701page01.cfm?chapter_no=27 • http://earthsci.terc.edu/content/visualizations/es2701/es2701page01.cfm?chapter_no=visualization Visualizations available for Earth Science textbooks published by McDougal Littel, a division of Houghton Miffllin

  11. Biology Courtesy of A. Malcom Campbell, Davidson College. Taken from www.bio.davidson.edu/genomics.

  12. Moebius Molecule Composed by Dr. Jiri Kolafa, Prague Institute of Chemical Technology. Website; www.icpf.cas.cz/jiri/pic.htm

  13. Nanotube Molecule • A carbon nanotube is a layer graphite that has been rolled up into a cylinder. • Depending on the way in which it is rolled, one can produce a conducting, semi-conducting, or insulating nanotube. • Diameters are between 1 and 10 nanometers or .000000001 Composed by Dr. Jiri Kolafa, Prague Institute of Technology. Website: www.icpf.cas.cz/jiri/pic.htm

  14. Crambins Molecule Composed by Dr. Jiiri Kolafa, Prague Institute of Chemical Technology. Website: www.icpf.cas.cz/jiri/pic.htm

  15. Scientific Notation • Astronomy • Neptune - 4,504,000,000 km • 4.504 x 109 • Biology • Nanotube - .000000001 • 1 x 10-9

  16. SI Prefixes Website: http://zebu.uoregon.edu/~jsglossary/exponents.html

  17. Earthquakes Courtesy of sfmuseum.org, The Virtual Museum of San Francisco

  18. Earthquake Waves • http://earthsci.terc.edu/content/visualizations/es2701/es2701page01.cfm?chapter_no=27 • Chapter 10 Visualizations available for Earth Science textbooks published by McDougal Littlel, a division of Houghton Mifflin

  19. Earthquake SeverityRichter Magnitudes • Under 3.5 • Generally not felt, but recorded • 3.5 – 4.8 • Dishes rattle; hanging objects sway • People indoors feel movement. • Doors swing; dishes break; liquids spill. • 4.8 – 6.2 • People have difficulty walking and standing. • Furniture moves; pictures and loose bricks fall. • Drivers feel cars shaking • Slight damage to well-built buildings; considerable damage in poorly built buildings.

  20. 6.2 – 7.3 • Difficulty steering cars; houses shift • Houses move off foundations; ground cracks • Buildings destroyed; large landslides occur • Greater than 7.0 is a major earthquake. • 7.3 – 8.9 • Roads break up; most buildings collapse; large cracks in ground; underground pipes destroyed • Greater than 8.0 is a great earthquake. Magnitude and Intensity of Earthquakes. www.geo.arizona.edu/K-12/azpepp/education/history/chile/mag_int.html Seismic Intensity Scales. www.il-st-acad-sci.org/ingdom/geo1001.html

  21. Meaning of Richter Scale • All earthquakes are compared to a zero-level earthquake whose seismographic reading measures .001 mm at a distance of 100 km from the epicenter. • A magnitude of 1 means that the intensity is 10 times a zero-level quake. • A magnitude of 2 means the intensity is 100 times a zero-level quake or 102.

  22. Magnitude Times a zero-level quake • 1 101 10 • 2 102 100 • 3 103 1000 • . • . • 9 109 ? • Each magnitude is 10 times greater than the preceding magnitude.

  23. Formula for Richter Scale

  24. Great San Francisco Earthquake Apr. 18, 1906 • Magnitude of 8.3 • Much destruction since buildings were not constructed for earthquakes • Mayor gave order for police to “shoot to kill” looters

  25. City Hall Courtesy of USGS. Website: quake.wr.usgs.gov/info/1906/

  26. Twisted Metal Courtesy of USGS. Website: quake.wr.usgs.gov/info/1906/:

  27. Yellowstone – Aug. 17,1959 Given verbal permission. Website: www.westyellowstonenet.com/attractions/quake_lake.htm

  28. Alaska – Mar. 27, 1964Good Friday Quake • Magnitude of 8.4 • Largest ever recorded in the Northern Hemisphere • 2nd largest of the 20th century • Tsunami reached California and Hawaii Courtesy of Tom Irvine. Website: www.vibrationdata.com/earthquakes/alaska.htm

  29. Chile – May 22, 1960 • Magnitude of 8.5 • Largest ever recorded • One-third of all buildings in the country were destroyed

  30. Loma Prieta, CA Oct. 17, 1989 • Magnitude of 7.0 • Occurred at 5:04 PM just before the 3rd game of the World Series (Oakland vs. San Francisco) • Part of San Francisco Bay Bridge and Nimitz freeway collapsed Courtesy of sfmuseum.org, The Virtual Museum of San Francisco

  31. Central Virginia Earthquake • Magnitude of 4.5 • Where were you when it struck? • Did you feel it? • Have you experienced an earthquake anywhere else?

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