"Metric distance conversion with decimal values"

Metric System Length Conversions

• Units of Length in the Metric System:

  • Millimeter (mm)
  • Centimeter (cm)
  • Decimeter (dm)
  • Dekameter (dam)
  • Hectometer (hm)
  • Kilometer (km)
  • Meter (m)

• Conversion Relationships:

  • $1 ext{ m} = 1000 ext{ mm}$
  • $1 ext{ m} = 100 ext{ cm}$
  • $1 ext{ m} = 10 ext{ dm}$
  • $1 ext{ dam} = 10 ext{ m}$
  • $1 ext{ hm} = 100 ext{ m}$
  • $1 ext{ km} = 1000 ext{ m}$

Example of Conversion

• Problem Statement: A coral reef grew taller. Use conversion facts to find how much this is in meters.

• Given: Height of the coral reef = $20.2 ext{ mm}$

• Conversion Process:

  • To convert millimeters to meters, divide by 1000 (since $1 ext{ m} = 1000 ext{ mm}$).
  • Calculation:
  • 20.2 ext{ mm} = rac{20.2}{1000} ext{ m}
  • $20.2 ext{ mm} = 0.0202 ext{ m}$

• Final Answer:

  • The coral reef grew by $0.0202 ext{ m}$ or $20.2 ext{ mm}$.