Solutions Exercises II / 1.3
  1. 2.6 106

  2. a.  12,000,000 kg         b.  twelve million kg         c.  approx. 13,200 tn

  3. Minimum Amt.  _  Maximum Amt.
    a.   2 10-6 g   _  2 10-4 g
    b.   2 10-3 mg   _  2 10-1 mg

  4. a.  REDHEAD with about 90,000 hairs
    b.  BLONDE with approximately 140,000 hairs
    c.  
    The largest number contains the largest exponent and the smallest number has the smallest exponent; if two numbers contain the same exponent, then the coefficient "a" (i.e., decimal factor in the expression) determines the largest/smallest number.

  5. a.i.   1.5 10-4  m           ii.   1.5 10-2  cm           iii.    1.5 10-1  mm
    b.i.   0.2 nm                   ii.   0.0002 m          

  6. a.  2.99792458 108 m/sec         b.  No, it's longer (less convenient).

  7. a.  3 108 m/sec                          b.  Yes (thus more convenient).

  8. Approximate numbers (generally) are more easily expressed in scientific notation than in decimal notation.

  9. a.  450,000,000,000
    b.  3 104;   1.5 107
    c.  4.5 1011
    d.  multiply the decimal numbers and add the exponents

  10. a.  6 1015                     b.  7.2 109                     c.  2.1 108

  11. a.  4.5 109                    c.  6.15 106
    b.  1.488 1011              d.  1.6  (or 1.6 100)

  12. a. 6 106 vib                 b.  3.2 1012 vib  =  3,200,000,000,000 vib

  13. 3.8 1025 atoms

  14. Calculation graphic: Exercise 14
  15. 1.5 108 kilometers;   9.3 107 miles

  16. 186,000 mi/sec

  17. 5.88 1012 miles;   9.46 1012 kilometers

  18. 2.3 106 yrs (230 million years)


    1. 275 106
    2. 42 1012
    3. 500 103
    4. 250 106
    5. 15 109
    6. 4 1012
    1. 4.6 109
    2. 8 10-3
    3. 54 10-12
    4. 3.2 10-6
    5. 32 10-9
    6. 320 106
  19. a.  7,000,000,000;   7 109
    b.  It would not differ; i.e., it would be exactly the same expression.