Metric Prefix Conversion

Introduction to Metric Prefixes

• Metric prefixes are used with base units (e.g., gram, meter, liter).
• Each prefix represents a power of 10 and simplifies expressing quantities.
• Example: "kilo" in kilogram represents (10^3), so 1 kg = 1000 g.

Examples of Metric Prefixes

• Kilo (k): (10^3)
• Centi (c): (10^{-2})
• Milli (m): (10^{-3})
• Mega (M): (10^6)

Conversion Method

• Rule 1: Subtract exponents of prefixes.
• Rule 2: Move the decimal point by the difference calculated in Rule 1, towards the desired unit.

Conversion Examples

Converting from a Larger to a Smaller Unit

1. Meters to Centimeters

   • Example: 0.150 meters to centimeters
   • Step: Exponent difference is 2 (from 0 to (-2)).
   • Move decimal 2 places to the right: 0.150 becomes 15.0 cm.

2. Kilometers to Centimeters

   • Example: 0.150 kilometers to centimeters
   • Step: Exponent difference is 5 (from 3 to (-2)).
   • Move decimal 5 places to the right: 0.150 becomes 15,000 cm.

Converting from a Smaller to a Larger Unit

1. Milligrams to Decigrams

   • Example: 384.0 mg to dg
   • Step: Exponent difference is 2 (from (-3) to (-1)).
   • Move decimal 2 places to the left: 384.0 becomes 3.840 dg.

2. Liters to Megaliters

   • Example: 8,432.0 liters to megaliters
   • Step: Exponent difference is 6 (from 0 to 6).
   • Move decimal 6 places to the left: 8,432.0 becomes 0.0084320 ML.

Conclusion

• Use the chart for reference on prefix exponents.
• Follow the two-step rule: subtract exponents and adjust decimal position.
• Video includes a practice problem with answers for self-assessment.

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Note: A chart detailing the exponents for each metric prefix can greatly assist in conversions.