Engineering Notation

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Engineering Notation

• When numbers are extremely large or small,
  engineering notation is used.
• The process of converting numbers to engineering
  notation is a simple process.
• Steps in the Process
• 1. Any number that is greater than 1000 or less
  than 1 must be expressed in engineering notation.
• 2. The decimal is move in multiples of 3 until
  the number is between 1 and 1000.
• 3. The prefix used is based on the number of
  places the decimal had to be moved to meet step
  2s requirement.
• 4. The prefix is placed in front of the unit of
  the number.

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Prefixes in Engineering Notation

• For large numbers
• 3 decimal moves equals a thousand or103 the
  prefix is k for kilo.
• 6 decimal moves equals a million or106 the prefix
  is M for mega.
• 9 decimal moves equals a billion or 109 the
  prefix is G for giga.
• 12 decimal moves equals a trillion or1012 the
  prefix is T for tera.

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Prefixes in Engineering Notation

• For large numbers
• Prefix Name Power of ten Math
  process Numerical value
• k kilo 10 3 10
  x 10 x 10 1000
• M Mega 10 6 10 x 10
  x 10 x 10 x 10 x 10 1 000 000
• G Giga 10 9 10 x 10 x 10 x 10 x 10 x
  10 x 10 x 10 x 10 1 000 000 000

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Prefixes in Engineering Notation

• An example
• Convert the following numbers to Engineering
  Notation
• 25000 W ____________
• 1. The decimal needs to be moved 3 places to
  the left.
• 2. 103 represents the move of 3 decimals, the
  prefix is k for kilo.
• The answer is 25 kW.

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Prefixes in Engineering Notation

• Convert the following numbers into engineering
  notation
• 5000 W ____________
• 300,000 v ____________
• 1,550,000 w ____________
• 5000 W ____5 k W ________
• 300,000 v ____300 kv_______
• 1,550,000 w ____1.55 Mw_____

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Prefixes in Engineering Notation

• For small numbers
• 3 decimal moves equals a thousandth or 10-3 the
  prefix is m for milli.
• 6 decimal moves equals a millionth or10-6 the
  prefix is m for micro.
• 9 decimal moves equals a billionth or 10-9 the
  prefix is n for nano.
• 12 decimal moves equals a trillionth or 10-12 the
  prefix is p for pico.

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Prefixes in Engineering Notation

• For small numbers
• Prefix Name Power of ten Math
  equivalent Numerical value
• m milli 10 -3
  1/ (10 x 10 x 10)
• 0.001
• m micro 10 -6 1/( 10 x 10
  x 10 x 10 x 10 x 10)
• 0.000001
• n nano 10-9 1/(10 x 10 x 10 x 10
  x 10 x 10 x 10 x 10 x 10)
• 0.000000001
• p pico 10-12 1/(10 x 10 x 10 x
  10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x10)
  0.000000000001

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Prefixes in Engineering Notation

• An example
• Convert the following numbers to Engineering
  Notation
• 0.000256 A ____________
• 1. The decimal needs to be moved 6 places to
  the right.
• 2. 10-6 represents the move of 6 decimals,
  the prefix is m for micro.
• The answer is 256 mA.

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Prefixes in Engineering Notation

• Convert the following numbers into engineering
  notation
• 0.005 w ____________
• 0.000000075 v ____________
• 0.00000000000125 F ____________
• 0.005 w ____5 mw_______
• 0.000000075 v ____75 nv_______
• 0.00000000000125 F ____1.25 pF_____

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Any questions?