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Tuesday 9/16/14

Tuesday 9/16/14. Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation in problems and convert standard notation into scientific notation. Why are significant figures not important in your math class?.

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Tuesday 9/16/14

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  1. Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation in problems and convert standard notation into scientific notation. Chapter 1

  2. Why are significant figures not important in your math class? Chapter 1

  3. Perform the following calculations to the correct number of significant figures b) 0.355 + 105.1 - 100.5820 =

  4. Perform the following calculations to the correct number of significant figures b) 0.355 + 105.1 - 100.5820 = 4.8739 = 4.9

  5. What is scientific notation? • A method used in science to represent really large of really small numbers. • Used to show significant figures with ambiguous numbers (large numbers without decimal points)

  6. Numbers in Chemistry • Avogadro’s Number • 602,000,000,000,000,000,000,000 atoms/mol • Planck's Number • 0.000000000000000000000000000000000662 J/s • Speed of Light • 300,000,000 m/s • Wavelength of red light • .000000750 m

  7. Positive Exponents • 101 = 10 • 102 = 10X10= 100 • 103 = 10X10X10 = 1000 • 104 = 10X10X10X10 = 10,000

  8. Negative Exponents • 10-1 = 1/10 = 0.1 • 10-2 = 1/100 = 0.01 • 10-3 = 1/1000 = 0.001 • 10-4 = 1/10000 = 0.0001

  9. Scientific Notation • 10,000 = 1 X 104 • 250,000 = 2.5 X 105 • Count places to the left until there is one number to the left of the decimal point. • 230,000 = ? • 35,000 = ?

  10. Scientific Notation Continued • 0.00006 = 6 X 10-5 • 0.00045 = 4.5 X 10-4 • Count places to the right until there is one number to the left of the decimal point • 0.003 = ? • 0.0030 = ? • 0.0000025 = ?

  11. Convert the following numbers into scientific notation • 45.01 • 0.00671 • 5,712,100

  12. Convert the following numbers into scientific notation • 45.01 = 4.501 x 101 • 0.00671 = 6.71 x 10-3 • 5,712,100 = 5.7121 x 106

  13. Convert the following numbers into standard notation: • 9.11 x 103 • 1.75 x 107 • 7.4 x 10-5 • 9 x 10-4

  14. Convert the following numbers into standard notation: • 9.11 x 103 = 9110 • 1.75 x 107 = 17,500,000 • 7.4 x 10-5 = 0.000074 • 9 x 10-4 = 0.0009

  15. Multiplying with Scientific Notation • Add the Exponents • 102 X 103 = 105 • 100 X 1000 = 100,000

  16. Multiplying with Scientific Notation (2.3 X 102)(3.3 X 103) • Multiply the Coefficients • 2.3 X 3.3 = 7.59 = 7.6 • Add the Exponents • 102 X 103 = 105 • Put them together, 7.6 X 105 • 760,000

  17. Multiplying with Scientific Notation • (4.6 X 104) X (5.5 X 103) = ? • (3.1 X 103) X (4.2 X 105) = ? • (6.72 x 105) x (7.33 x 10-9)= ?

  18. Multiplying with Scientific Notation • (4.6 X 104) X (5.5 X 103) = 2.5 x 108 • (3.1 X 103) X (4.2 X 105) = 1.3 x 109 • (6.72 x 105) x (7.33 x 10-9)= 4.93 x 10-3

  19. Dividing with Scientific Notation • Subtract the Exponents • 104/103 = 101

  20. Dividing with Scientific Notation • (3.3 X 104)/ (2.3 X 102) • Divide the Coefficients • 3.3/ 2.3 = 1.434783 = 1.4 • Subtract the Exponents • 104 / 102 = 102 • 1.4 X 102 • 140

  21. Dividing with Scientific Notation • (4.6 X 106) ÷ (5.5 X 103) = • (3.1 X 108) ÷ (4.262 X 104) = • (6.72 x 105) ÷ (7.3 x 10-9)=

  22. Dividing with Scientific Notation • (4.6 X 106) ÷ (5.5 X 103) = 8.4 x 102 • (3.1 X 108) ÷ (4.262 X 104) = 7.3 x 103 • (6.72 x 105) ÷ (7.3 x 10-9)= 9.2 x 1013

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