Units of Measure

Metric Prefixes
Prefix Symbol Scientific Notation Factor
Tera T 10¹² 1,000,000,000,000
Giga G 10⁹ 1,000,000,000
Mega M 10⁶ 1,000,000
Kilo k 10³ 1,000
Hecto h 10² 100
Deca da 10¹ 10
Deci d 10⁻¹ 0.1
Centi c 10⁻² 0.01
Milli m 10⁻³ 0.001
Micro μ 10⁻⁶ 0.000001
Nano n 10⁻⁹ 0.000000001
Pico p 10⁻¹² 0.000000000001

 

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Strategy for conversions

  1. What unit is being asked for?
    • 500ml = ____L → liters
  2. What unit are you starting from?
    • 500ml = ____L → milliliters
  3. Which unit is larger? By how much is that unit larger?
    • Liters are the larger unit. Liters are 1,000X (103) greater than milliliters.
  4. Which direction are we moving?
    • Since we are moving to a larger unit, our value will be smaller. In this case, the value is smaller by 1,000X
    • In other words, the value is 1/1000 or 0.001 the value.
    • So what is the answer?

Dimensional Analysis (Factoring Out)

Using the idea of factors of ten, you can assess the difference of the two units and cancel out the original unit algebraically to reach the desired final unit.

  • 500ml=_____L
    • 1ml=\frac{1}{1000}L or, \frac{1L}{1000ml}
      • which states 1000 milliliter in every 1 liter
    • 500ml\times\frac{1L}{1000ml}=\frac{500L}{1000}=0.5L
      • pay attention to the units and how we’ve canceled out the ml in the numerator of 500ml and in the denominator in the conversion of 1L in 1000ml

Dimensional Analysis Simulation https://www.ncbionetwork.org/iet/metric/


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