4 1.3 Units and Conversions

Practice questions

1. Identify the unit in each quantity.
   1. 1. [latex]{2}[/latex] boxes of crayons
      2. [latex]{3.5}[/latex] grams of gold
      3. [latex]{32}[/latex] [latex]{oz}[/latex] of cheddar cheese
      4. [latex]{0.045 cm^{3}}[/latex] of water
      5. [latex]{2}[/latex] dozen eggs
      6. [latex]{2.4 km/s}[/latex]
2. Indicate what multiplier each prefix represents. Write the power of [latex]{10}[/latex] in the space next to [latex]{x}[/latex].
   1. 1. [latex]{k - 10^{x}, x= ?}[/latex]
      2. [latex]{m - 10^{x}, x= ?}[/latex]
      3. [latex]{c - 10^{x}, x= ?}[/latex]
      4. [latex]{G - 10^{x}, x= ?}[/latex]
      5. [latex]{μ - 10^{x}, x= ?}[/latex]
3. Give the prefix that represents each multiplier:
   1. 1. [latex]{{\frac{1}{1000}}{\times}}[/latex]
      2. [latex]{1000{\times}}[/latex]
      3. [latex]{1000000000{\times}}[/latex]
      4. [latex]{{\frac{1}{1000000000}}{\times}}[/latex]
4. Express each quantity in a more appropriate unit. Choose the correct answer.
   1. 1.  [latex]{0.00000344 s}[/latex] – [latex]{3.44μs}[/latex], [latex]{3.44ns}[/latex], [latex]{3.44Ms}[/latex]
      2.  [latex]{3500L}[/latex] – [latex]{3.35kL}[/latex], [latex]{3.35mL}[/latex], [latex]{3.35GL}[/latex]
      3.  [latex]{0.045m s}[/latex] – [latex]{4.5cm}[/latex], [latex]{4.5mm}[/latex], [latex]{4.5km}[/latex]
5. Write the two conversion factors that exist between the two given units.
   1. 1. millilitres and litres =
      2. microseconds and seconds =
      3. kilometres and metres =
6. Perform the following conversions and write the answer.
   1. 1. [latex]{2.56gal}[/latex] gallons to litres ([latex]{1L = 0.265gal}[/latex]) =
      2. [latex]{750.0μmol}[/latex] to millimoles =
      3. [latex]{45km/h}[/latex] to[latex]{m/s}[/latex] =
      4. [latex]{5.4km}[/latex] to metres =
      5. [latex]{0.665m}[/latex] to milimetres =

Answers

1. 1. 1. 1. boxes
         2. grams
         3. oz
         4. cm³
         5. dozen
         6. km/s
      1. 1.  3
         2. -3
         3. 6
         4. -2
         5. 9
         6. -6
      1. 1. Mili
         2. kilo
         3. Giga
         4. Nano
      1. 1. [latex]{3.44μs}[/latex]
         2. [latex]{3.35kL}[/latex]
         3. [latex]{4.5cm}[/latex]
      1. 1. [latex]{\frac{1000mL}{1L}}[/latex] and [latex]{\frac{1L}{1000mL}}[/latex]
         2. [latex]{\frac{1000000μs}{1s}}[/latex] and [latex]{\frac{1s}{1000000μs}}[/latex]
         3. [latex]{\frac{1000m}{1km}}[/latex] and [latex]{\frac{1km}{1000m}}[/latex]
      1. 1. [latex]{10.0L}[/latex]
         2. [latex]{0.7500mmol}[/latex]
         3. [latex]{12.5m/s}[/latex]
         4. [latex]{5400m}[/latex]
         5. [latex]{665mm}[/latex]