Final answer:
Metric unit conversion involves changing units from one form to another without altering the quantity by multiplying or dividing, based on the relationship between units. For example, kilometers to meters are converted by multiplying by 1,000, and micrograms to grams by dividing by 1,000,000.
Step-by-step explanation:
Metric unit conversion is a common task in mathematics where units are changed from one form to another without altering the quantity. Here are the steps to convert the given metric units into the indicated units:
- Conversion of kilometers to meters: To convert kilometers to meters, you multiply by 1,000 because there are 1,000 meters in a kilometer. For example, 0.074 km is 0.074 x 1,000 = 74 meters.
- Conversion of micrograms to grams: To convert micrograms to grams, you divide by 1,000,000 because there are 1,000,000 micrograms in a gram. For instance, 24,600 μg is 24,600 / 1,000,000 = 0.0246 grams.
- Conversion of milligrams to kilograms: To convert milligrams to kilograms, you divide by 1,000,000, as there are 1,000,000 milligrams in a kilogram. For instance, 2,057 mg would be 2,057 / 1,000,000 = 0.002057 kilograms.
- Conversion of micrometers to kilometers: Converting micrometers to kilometers involves dividing by 1,000,000,000 because there are 1,000,000,000 micrometers in a kilometer. As an example, 1.25 x 10-7 km is equivalent to 1.25 x 10-7 x 1,000,000,000 = 125 micrometers.
Remembering the number of smaller units in larger units and applying the correct multiplication or division operation is key to successful metric conversion.