The Metric System (2024)

SI/METRIC BASE UNITS

In the United States, measurements are generally provided in English units. For example, when driving to a nearby town to see a friend or family member, we may say “it’s 20 miles from here.” In many parts of the world, a person referring to the same distance may say “it’s 32 kilometers from here.” People who use the term “kilometer” to describe distance are employing the metric system.

The metric system, or more accurately the International System of Units (SI), is an international system of measurement and the unit system most often used in STEM (science, technology, engineering, and math). Scientists around the world use and understand the SI. (In writing, “S” appears before “I” because in French the “International System of Units” is written “Systѐme International d’Unités” [Bryant 1976]).

Unlike the English system of units that uses different names and unit sizes for volumes (e.g., gallons, pints, quarts), weights (e.g., pounds, stones, tons, short tons, long tons), and distances (e.g., feet, yards, miles), the SI uses the same base units and the same prefixes for all types of measurements.

Prefixes are provided in scales that function around 7 units known as metric system (or SI) base units. As shown in Table 1, base units include the meter (m), the kilogram (kg), the kelvin (K), the second (s), the ampere (A), the candela (cd), and the mole (mol).

The Metric System (1)

Table 1 Metric base units, abbreviations, and reference standards (Helmenstine n.d.).

SI/METRIC BASE UNITS
SI TermWhat It MeasuresAbbreviationReference Standard
meterlengthmThe length a path of light travels in a vacuum in 1/299,792,458 seconds (speed of light (c) = 299,792,458 m/s).
kilogrammasskgThe fixed numerical value of the Planck constant h to be 6.62607015 x10-34 when expressed in the unit J s, which is equal to kg m2 s-1 where the meter and the second are defined in terms of c and Δ vCs.
kelvintemperatureKThe fraction 1/273.16 of the thermodynamic temperature of the triple point of water (273.16 K = 0.01° C).
secondtimesThe duration of 9,192,631,770 periods of radiation, which is the difference in the transition between the levels of the cesium-133 atomic ground state.
amperecurrentAA constant current maintained in 2 straight, parallel, non-negligible conductors of infinite length placed 1 meter apart in a vacuum that produces a force between them of 2 x 10–7 newtons (N) per meter (1 N = 1 kg x m2 x s–2).
candelaluminous intensitycdA source emitting monochromatic radiation of frequency 540 x 1012 hertz with a radiant intensity in the same direction of 1/683 watt per steradian.
moleamount of substancemolThe number of atoms in 0.012 kilograms of carbon-12.

Table 2 Commonly used non-SI units (National Institute of Standards and Technology n.d.;K. Mace, personal knowledge; conversions from OnlineConversion.com n.d.).

COMMONLY USED NON-SI UNITS
UnitSymbolCommonly Used EquivalentsCommon Uses
Time
minutemin1 min = 60 sCalculations involving time
hourh1 h = 60 min = 3,600 sCalculations involving time
dayd1 d = 24 h = 1,440 min = 86,400 sCalculations involving time
Navigation
degree (angle)°1° = (π/180) radiansLongitude, latitude
minute (angle)'1' = (1/60)° = (π/10,800) radiansLongitude, latitude
second (angle)"1" = (1/60)' = (π/648,000) radiansLongitude, latitude
Volume
literL1 L = 1 dm3 = 0.001 m3 = 1000 cm3Calculating volumes smaller than ocean-sized
centimeter cubedcc1 cc = 1 mLMedical applications, small volume calculations
sverdrupSv1 Sv = 1 million cubic meters per secondCalculating volumes of water in the world oceans
Mass
poundlb1 lb = 0.4536 kg = 16 ozMasses of food, people, animals, etc., in the US
ounceoz16 oz = 1 lbMasses of food, people, animals, etc., in the US
short tonton1 ton = 2,000 lb = 907.2 kgShipping, manufacturing, etc., in the US
long ton or "imperial ton"t1 t = 1,016 kg = 2240 poundsShipping, manufacturing, etc., in the US and globally
metric ton or tonnet1 t = 1,000 kg = 1 Mg = 2204.6 poundsShipping, manufacturing, etc., in the US and globally
unified atomic
mass unit
u (Da)1 u = 1.6605 x 10–27 kgMeasuring the size of atoms
Energy
electronvolteV1 eV = 1.602176 x 10–19 JCalculating the energy of particles streaming to Earth from the Sun, high-energy physics/particle physics, etc.
jouleJ1 J = 1 kg x m2 x s–2 = 2.78 x 10–7 kWhScientific publications, oil and gas industry
British thermal unitBTU1 BTU = 1,055.06 J = 252.16 CalElectric utilities, oil and gas industry, machinery
caloriecal1 calorie = 4.184 JChemistry and physics measurements
CalorieCal1 Cal = 1,000 caloriesFood and drink packaging
newtonN1 N = 1 kg x m x s–2Force calculations, anchors, fasteners, thrust of rockets, etc.
Power
wattW1 W = 1 J x s–1 = 1 N x m x s–1 =
1 kg x m2 x s–3
Electric power generation and delivery,
radio transmission
horsepowerHP1 HP = 745.7 wattsAutomobile, truck, and machine engine ratings
Distance
nautical milenm, NM, M1 nautical mile (NM) = 1,852 mShipping, sea navigation, ocean mapping, military operations
knotkn1 knot = 1 nautical mile (NM)/hour = 1.151 miles/hourShipping, sea navigation, military operations
milem1 m = 5,280 ft = 1.609 kmHighway signs, navigation, etc., in the US
footft1 ft = 0.3048 mConstruction, textiles, assembly, etc., in the US
yardyd1 yd = 3 ft = 0.9144 mConstruction, textiles, assembly, etc., in the US
Area
hectareha1 ha = 2.47 acres = 10,000 m2Scientific publications in ecology, international land development, etc.
acrea1 acre = 43,560 square feet = 4,047 m2Real estate, English language documents describing areas
Pressure
pascalPa1 Pa = 1 N/m2 = 1 kg x m x s–2 =
1 J x m–3
Official scientific publications (shown as hectopascal [hPa]), weather forecasting, oceanography, military applications, etc.
atmosphereatm1 atm = 10,1325 Pa = 760 mmHg =
1,013 mbar = 760 torr
Weather forecasting, military applications, scientific publications, etc.
millibarmbar1 mbar = 100 Pa = 0.000987 atmWeather forecasting, military applications, etc.
millimeter of mercurymmHg1 mmHg = 1.33 mbar = 133.32 PaScientific publications, weather forecasting
torrtorr1 torr = 133 Pa = 0.0013 atmScientific publications
Temperature
Fahrenheit°F°F = °C x (9/5) + 32
K = (5/9) (°F – 32) + 273.15
Scientific documents, US weather forecasts, appliances, machinery, and food packaging in the US, etc.
Celsius°C°C = K – 273.15Scientific documents; European, Middle Eastern, and Asian weather forecasts; appliances; machinery; food packaging outside the US; etc.

When you report data in metric (SI) or non-metric (non-SI) units, it is often necessary to use a prefix so numbers are not extremely large or extremely small when written. As examples of how scientists use units in their work, consider the following:

  1. Most bacteria are 0.0000002 to 0.00001 meters in length (Carter n.d.). Instead of expressing the length as 0.0000002 meters, we could write 2 x 10–7meters (in scientific notation) or 0.2 µm (pronounced “micrometers”).Note:Although “micron,” which denoted the micrometer, was part of the scientific vernacular for many years, the term is no longer accepted in academic science circles.The mathematical transition is, as follows, based on the SI prefixes provided in Table 3:

The Metric System (2)

  1. NASA (National Aeronautics and Space Administration) and NOAA (National Oceanic and Atmospheric Administration) often report the units of carbon flowing into and out of the atmosphere, the terrestrial biosphere, and the oceans, and carbon stocks in units of gigatons (a non-SI unit with a metric prefix) (Riebeek 2011). In NASA’s and NOAA’s carbon maps, the largest carbon reservoir on Earth is located in the deep ocean (below the level of photosynthesis and respiration). NASA and NOAA assign a value of 37,000 gigatons to this carbon reservoir. In tons this is:

The Metric System (3)

Note that this is an example of a non-metric (or non-SI) unit used with the metric prefixes shown in Table 3. Many of the non-SI units shown in Table 2 are often used in this way—especially in earth science, physical science, and engineering.

Table 3 Metric (SI) prefixes.

METRIC (SI) PREFIXES
Prefix (Symbol)FormationNumberOften Stated as…
yotta (Y)yotta + BASE UNIT10241 septillion
zetta (Z)zeta + BASE UNIT10211 sextillion
exa (E)exa + BASE UNIT10181 quintillion
peta (P)peta + BASE UNIT10151 quadrillion
tera (T)tera + BASE UNIT10121 trillion
giga (G)giga + BASE UNIT1091 billion
mega (M)mega + BASE UNIT1061 million
kilo (K)kilo + BASE UNIT1031 thousand
hecto (h)hecto + BASE UNIT1021 hundred
deka (da)deka + BASE UNIT1011 ten
BASEBASE UNIT100BASE UNIT
deci (d)deci + BASE UNIT10–11 tenth
centi (c)centi + BASE UNIT10–21 hundredth
milli (m)milli + BASE UNIT10–31 thousandth
micro (µ)micro + BASE UNIT10–61 millionth
nano (n)nano + BASE UNIT10–91 billionth
pico (p)pico + BASE UNIT10–121 trillionth
femto (f)femto + BASE UNIT10–151 quadrillionth
atto (a)atto + BASE UNIT10–181 quintillionth
zepto (z)zepto + BASE UNIT10–211 sextillionth
yocto (y)yocto + BASE UNIT10–241 septillionth

References

Bryant, S. 1976. Système international d’unités.The Australian and New Zealand Journal of Surgery46(3): 266–8.https://www.ncbi.nlm.nih.gov/pubmed/1070306(accessed March 13, 2017).

Carter, P. n.d. Functional anatomy of prokaryotic and eukaryotic cells.

http://classes.midlandstech.edu/carterp/courses/bio225/chap04/lecture2.htm
(accessed February 28, 2017, and March 13, 2017).

Helmenstine, A.M. 2017. Metric units—base units: Seven basic metric measurements.https://www.thoughtco.com/metric-units-base-units-604140(accessed February 28, 2017, and March 13, 2017).

NIST (National Institute of Standards and Technology). n.d. International System of Units (SI): Units outside the SI.http://physics.nist.gov/cuu/Units/outside.html(accessed February 28, 2017, and March 13, 2017).

OnlineConversion.com. n.d. Welcome to OnlineConversion.com.http://www.onlineconversion.com/(accessed February 28, 2017; March 6, 2017; and March 13, 2017).

Riebeek, H. 2011. The carbon cycle.https://earthobservatory.nasa.gov/Features/CarbonCycle/(accessed February 29, 2017, and March 13, 2017).

*Next Generation Science Standards® is a registered trademark of Achieve. Neither Achieve nor the lead states and partners that developed the Next Generation Science Standards were involved in the production of, and do not endorse, these products.

The Metric System (2024)
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