SI system

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In the SI system, prefixes are used to represent multiples of 10 or fractions of 10 of the base units. The following table summarizes the basic prefixes that you should know.

PREFIX MULTIPLE SCIENTIFIC NOTATION ABBREVIATION
mega- 1,000,000 106 M
kilo- 1,000 103 k
deci- 0.1 10-1 d
centi- 0.01 10-2 c
milli- 0.001 10-3 m
micro- 0.000001 10-6 µ
nano- 0.000000001 10-9 n

These prefixes can be applied to the base units:


Mass - base unit of gram

PREFIX MULTIPLE / SCIENTIFIC NOTATION MASS GRAM EQUIVALENT (conversion factor)
mega- 1,000,000 or 106 Mg (megagram) 1 Mg = 1,000,000 gram
kilo- 1,000 or 103 kg (kilogram) 1 kg = 1,000 gram
deci- 0.1 or 10-1 dg (decigram) 1 dg = 0.1 gram
centi- 0.01 or 10-2 cg (centigram) 1 cg = 0.01 gram
milli- 0.001 or 10-3 mg (milligram) 1 mg = 0.001 gram
micro- 0.000001 or 10-6 µg (microgram) 1 µg = 0.000001 gram
nano- 0.000000001 or 10-9 ng (nanogram) 1 ng = 0.000000001 gram

Some approximate sizes:

  • a cup of coffee weighs approximately 250 grams
  • a pinch of salt weighs approximately 1 milligram
  • a 10-pound bag of potatoes weighs approximately 4.5 kilograms

Length - base unit of meter

PREFIX MULTIPLE / SCIENTIFIC NOTATION MASS METER EQUIVALENT (conversion factor)
mega- 1,000,000 or 106 Mm (megameter) 1 Mm = 1,000,000 meter
kilo- 1,000 or 103 km (kilometer) 1 km = 1,000 meter
deci- 0.1 or 10-1 dm (decimeter) 1 dm = 0.1meter
centi- 0.01 or 10-2 cm (centimeter) 1 cm = 0.01 meter
milli- 0.001 or 10-3 mm (millimeter) 1 mm = 0.001 meter
micro- 0.000001 or 10-6 µm (micrometer) 1 µm = 0.000001 meter
nano- 0.000000001 or 10-9 nm (nanometer) 1 nm = 0.000000001 meter

In addition to the SI unit of base unit of length, meter, a unit of length that is commonly used Chemistry is the angstrom. The abbreviation for angstrom is Å.

Conversion factor: 1Å = 10-10 meter

Some approximate sizes:

  • a penny is approximately 2 centimeters in diameter
  • an average adult is approximately 1.7 meters
  • the thickness of hair is approximately 60 micrometer
  • a piece of paper is approximately 0.1 millimeter
  • one full twist of the DNA molecule is 3-4 nanometer

Volume - base unit of liter

PREFIX MULTIPLE / SCIENTIFIC NOTATION MASS LITER EQUIVALENT (conversion factor)
mega- 1,000,000 or 106 ML (megaliter) 1 ML = 1,000,000 liter
kilo- 1,000 or 103 kL (kiloliter) 1 kL = 1,000 liter
deci- 0.1 or 10-1 dL (deciliter) 1 dL = 0.1 liter
centi- 0.01 or 10-2 cL (centiliter) 1 cL = 0.01 liter
milli- 0.001 or 10-3 mL (milliliter) 1 mL = 0.001 Liter
micro- 0.000001 or 10-6 µL (microliter) 1 µL = 0.000001 liter
nano- 0.000000001 or 10-9 nL (nanoliter) 1 nL = 0.000000001 liter

Some approximate sizes:

  • a soft drink can holds approximately 350 milliliters of pop
  • 20 drops from a medicine dropper is approximately 1 milliliters
  • a cup holds approximately 250 milliliters
  • a teaspoon holds approximately 5 milliliters of liquid

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BCIT courses: CHEM 0011