November 09, 2015 Section 4.2 and 4.3: Using Scientific Notation to Describe Very Large and Very Small Quantities What's the difference? Standard Form verses Scientific Notation Numbers we are familar writing! Numbers used by scientists for really large or really small values. November 09, 2015 Example 1: Writing LARGE numbers in Scientific Notation One astronomical unit (AU) is the average distance between Earth and the sun. It is approximately 93 million miles. Express this distance in scientific notation. Example 2: Writing LARGE numbers in Scientific Notation A. Write 7,800 in scientific notation. B. Write 300 in scientific notation. November 09, 2015 Example 2: Writing LARGE numbers in Scientific Notation C. Write 5 in scientific notation. Example 3: Writing SMALL numbers in Scientific Notation Human eyes are sensitive to only a very small region of the electromagnetic spectrum called visible light. The violet wavelength measures 0.0000004m. Express the wavelength of violet light in scientific notation. November 09, 2015 Example 4: Writing SMALL numbers in Scientific Notation A. Write 0.0000345 in scientific notation. B. Write 0.00104 in scientific notation. C. Write 0.53 in scientific notation. Example 5: Writing LARGE numbers in Standard Form The estimated age of the universe is 1.37 x 1010 years. Express this age in standard form. November 09, 2015 Example 6: Writing LARGE numbers in Standard Form A. Write 4.56 x 104 in standard form. B. Write 9.903 x 107 in standard form. Example 7: Writing LARGE numbers in Standard Form The list below shows numbers of bacteria in four colonies in a microbiology lab. Estimate each number in scientific notation using a single digit for the first factor. Then determine whether each statement is true or false. Colony A: 79,854,000 Colony B: 2,124,000 Colony C: 6,180,000 Colony D: 397,000 November 09, 2015 Example 8: Writing SMALL numbers in Standard Form The rate at which Earth's tectonic plates move varies around the world. One of Earth's plates moves about 1.23 x 10-2 cm per day. Express the rate in standard form. Example 9: Writing SMALL numbers in Standard Form A. Write 5.89 x 10-6 in standard form. B. Write 8.524 x 10-8 in standard form. C. Write 1.075 x 10-1 in standard form. November 09, 2015 Example 10: Writing SMALL numbers in Standard Form A. Write 4 x 100 in standard form. B. Write 7.6 x 100 in standard form. Example 11: Writing SMALL numbers in Standard Form The diameters of human cells photographed with a microscope in one lab are shown (photos not to scale). Estimate each number in scientific notation using a single digit for the first factor. Then fill in the blanks. A. A ____ cell is about 6 times as large as a white blood cell. B. A cheek cell is about ____ times as large as a red blood cell. C. A ___ cell is about 1.25 times as large as a ____ cell. November 09, 2015 Classwork/Homework What you do not finish during class, will become homework! Hopefully see you tomorrow :) Pearson - Section 4.2 - G AND Pearson - Section 4.3 - G