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Science Grade 9-12 Answer Key

Science: SI Units Metric Prefixes and Unit Conversions

Practice converting measurements using SI units and metric prefixes

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Science: SI Units Metric Prefixes and Unit Conversions

Practice converting measurements using SI units and metric prefixes

Science - Grade 9-12

Instructions: Read each problem carefully. Show your setup and conversion factors in the space provided. Include units in every answer.
  1. 1

    Convert 2.50 kilometers to meters.

    Multiply by 1000 when converting kilometers to meters.

    2.50 kilometers is equal to 2500 meters because 1 kilometer equals 1000 meters.
  2. 2

    Convert 0.075 liters to milliliters.

    0.075 liters is equal to 75 milliliters because 1 liter equals 1000 milliliters.
  3. 3

    A lab sample has a mass of 4500 milligrams. Convert this mass to grams.

    Divide by 1000 when converting milligrams to grams.

    4500 milligrams is equal to 4.5 grams because 1000 milligrams equals 1 gram.
  4. 4

    Convert 3.2 x 10^-6 meters to micrometers.

    3.2 x 10^-6 meters is equal to 3.2 micrometers because 1 micrometer equals 1 x 10^-6 meters.
  5. 5

    Convert 0.000000850 seconds to nanoseconds.

    Nanoseconds are much smaller than seconds, so the number of nanoseconds will be larger.

    0.000000850 seconds is equal to 850 nanoseconds because 1 nanosecond equals 1 x 10^-9 seconds.
  6. 6

    A plant stem is measured as 72 centimeters long. Convert the length to meters.

    72 centimeters is equal to 0.72 meters because 100 centimeters equals 1 meter.
  7. 7

    Convert 4.0 cm^2 to m^2. Remember that area units must be squared.

    Convert centimeters to meters first, then square the conversion factor.

    4.0 cm^2 is equal to 0.00040 m^2, or 4.0 x 10^-4 m^2, because 1 cm^2 equals 1 x 10^-4 m^2.
  8. 8

    A liquid has a density of 1.20 g/mL. Convert the density to kg/L.

    1.20 g/mL is equal to 1.20 kg/L because 1 gram per milliliter has the same numerical value as 1 kilogram per liter.
  9. 9

    A bacterium is about 2.0 micrometers long. Write this length in meters using scientific notation.

    Micro means one millionth of the base unit.

    2.0 micrometers is equal to 2.0 x 10^-6 meters because the prefix micro means 10^-6.
  10. 10

    Arrange these prefixes from largest to smallest: kilo, milli, micro, centi, mega.

    The prefixes from largest to smallest are mega, kilo, centi, milli, and micro.
  11. 11

    A car is traveling at 65 km/h. Convert this speed to m/s. Round to the nearest tenth.

    Use 1 kilometer equals 1000 meters and 1 hour equals 3600 seconds.

    65 km/h is equal to about 18.1 m/s because 65 x 1000 meters divided by 3600 seconds equals 18.1 m/s.
  12. 12

    A solution contains 12.0 grams of salt in 250 milliliters of solution. What is the concentration in grams per liter?

    The concentration is 48.0 grams per liter because 250 milliliters is 0.250 liters and 12.0 grams divided by 0.250 liters equals 48.0 grams per liter.
  13. 13

    A green laser has a wavelength of 532 nanometers. Convert this wavelength to meters using scientific notation.

    Move the decimal 9 places when converting nanometers to meters.

    532 nanometers is equal to 5.32 x 10^-7 meters because 1 nanometer equals 1 x 10^-9 meters.
  14. 14

    Convert 0.0350 kilograms to centigrams.

    Convert kilograms to grams first, then grams to centigrams.

    0.0350 kilograms is equal to 3500 centigrams because 0.0350 kilograms equals 35.0 grams and each gram equals 100 centigrams.
  15. 15

    A rectangular block measures 8.0 cm by 5.0 cm by 2.0 cm. Find its volume in cm^3 and then convert the volume to milliliters.

    The volume is 80 cm^3 because 8.0 x 5.0 x 2.0 equals 80. The volume is also 80 mL because 1 cm^3 equals 1 mL.
LivePhysics™.com Science - Grade 9-12 - Answer Key