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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!
  • \(530 \times 10{-3}\, \text{m}\)
  • Try again. This is correct, but not in scientific notation.
  • \(5.3 \times 10^{-3}\, \text{m}\)
  • 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.
  • \(5.3 \times 10^3\)
  • 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!
  • \(0.279 \times 10^{18}\, \text{kg/yr}\)
  • 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 \(10^3\text{.}\)
  • \(2.79 \times 10^{18}\, \text{kg/yr}\)
  • 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 \(10^3\text{.}\)
  • \(2.79 \times 10^{17}\, \text{kg/yr}\)
  • 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!
  • \(3.6\, \text{MJ}\)
  • Try again. Mega means \(10^6\text{,}\) not \(10^9\text{.}\)
  • \(3.6\, \text{gJ}\)
  • Try again. There is no prefix \(\text{g}\text{.}\)
  • \(3.6\, \text{nJ}\)
  • 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!
  • \(3\, \text{μm}\)
  • Try again. Try counting the zeros again.
  • \(0.3\, \text{mm}\)
  • Try again. Try counting the zeros again.
  • \(3\, \text{mm}\)
  • Try again. Try counting the zeros again.