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Section 4.3 Practice

Subsection 4.3.1 Practice: Unit Prefixes

Extra questions to help level up your abilities.

Checkpoint 4.3.1.

    In 2020, Utqiaġvik, Alaska (formerly Barrow) recorded about \(530\) millimeters of snow. Write this amount in meters using scientific notation with the correct number of significant figures.
  • \(5.3 \times 10^{-1}\, \text{m}\)
  • Correct!
  • \(530 \times 10{-3}\, \text{m}\)
  • Your targeting system glitched, try again. This is correct, but not in scientific notation.
  • \(5.3 \times 10^{-3}\, \text{m}\)
  • Your enchanted click missed the mark, try again. Mili does mean \(10^{-3}\text{,}\) so \(530\) millimeters is \(530 \times 10^{-3}\, \text{m}\text{.}\) But now you need to convert this to scientific notation.
  • \(5.3 \times 10^3\)
  • Your digital blade missed the mark, try again. Mili does mean \(10^{-3}\text{,}\) so \(530\) millimeters is \(530 \times 10^{-3}\, \text{m}\text{.}\) But now you need to convert this to scientific notation.

Checkpoint 4.3.2.

    NASA reports that Greenland has been losing ice
     1 
    en.wikipedia.org/wiki/Greenland#Climate_change
    at an average rate of \(0.279\) exagrams per year. Convert this mass per year into kilograms per year using scientific notation with the correct number of significant figures.
  • \(2.79 \times 10^{14}\, \text{kg/yr}\)
  • Correct!
  • \(0.279 \times 10^{18}\, \text{kg/yr}\)
  • Your targeting system glitched, try again. Exa means \(10^{18}\text{,}\) so \(0.279\) exagrams \(=0.279 \times 10^{18}\, \text{g}\text{.}\) However, we need to convert this to kilograms. \(1\) kilogram = \(10^3\) grams, so we need to divide by \(10^3\text{.}\)
  • \(2.79 \times 10^{18}\, \text{kg/yr}\)
  • Your enchanted click missed the mark, try again. Exa means \(10^{18}\text{,}\) so \(0.279\) exagrams \(=0.279 \times 10^{18}\, \text{kg}\text{.}\) However, we need to convert this to kilograms. \(1\) kilogram = \(10^3\) grams, so we need to divide by \(10^3\text{.}\)
  • \(2.79 \times 10^{17}\, \text{kg/yr}\)
  • Your digital blade missed the mark, try again. Exa means \(10^{18}\text{,}\) so \(0.279\) exagrams \(=0.279 \times 10^{18}\, \text{kg}\text{.}\) However, we need to convert this to kilograms. \(1\) kilogram = \(10^3\) grams, so we need to divide by \(10^3\text{.}\)

Checkpoint 4.3.3.

    A typical \(1\, \text{kW}\) rooftop solar panel system can generate about \(3.6 \times 10^9\) joules of energy over a year in sunny regions. Express this annual energy in joules using a unit prefix. The SI symbol for joule is \(\text{J}\text{.}\)
  • \(3.6\, \text{GJ}\)
  • Correct!
  • \(3.6\, \text{MJ}\)
  • Your targeting system glitched, try again. Mega means \(10^6\text{,}\) not \(10^9\text{.}\)
  • \(3.6\, \text{gJ}\)
  • Your enchanted click missed the mark, try again. There is no prefix \(\text{g}\text{.}\)
  • \(3.6\, \text{nJ}\)
  • Your digital blade missed the mark, try again. On the right track, but nano means \(10^{-9}\text{,}\) not \(10^9\text{.}\)

Checkpoint 4.3.4.

    A certified HEPA filter
     2 
    en.wikipedia.org/wiki/HEPA
    is capable of capturing \(99.97%\) of airborne particles with diameters as small as \(0.0000003\) meters. Express this diameter using a unit prefix.
  • \(0.3\, \text{μm}\)
  • Correct!
  • \(3\, \text{μm}\)
  • Your targeting system glitched, try again. Try counting the zeros again.
  • \(0.3\, \text{mm}\)
  • Your enchanted click missed the mark, try again. Try counting the zeros again.
  • \(3\, \text{mm}\)
  • Your digital blade missed the mark, try again. Try counting the zeros again.