Final answer:
Metric unit conversions involve understanding the relationships between metric prefixes and the base unit. For example, 17.8 micrograms is 0.0000178 grams, 7.22 x 10^2 kilograms is 722,000 grams, and 0.00118 grams is 1,180,000 nanograms.
Step-by-step explanation:
When converting different metric units, it is crucial to understand the metric prefixes and their relationship to the base unit. Let's look at the provided examples to understand how to perform these conversions correctly.
For instance, to convert 17.8 micrograms ( µg) to grams (g), we use the fact that 1 microgram equals 1x10-6 grams. Therefore, 17.8 µg is equivalent to 17.8 x 10-6 g or 0.0000178 g.
Moving from kilograms (kg) to grams (g), since 1 kilogram equals 1000 grams, 7.22 × 102 kg can be directly converted to grams by multiplying by 1000, which gives us 722,000 g.
Lastly, converting 0.00118 g to nanograms (ng) involves understanding that 1 gram is equal to 1x109 nanograms. This means that 0.00118 g is 1,180,000 ng.