convert 8.49kg to micrograms? convert 318us to milliseconds? convert 93km to nanometers? convert 37.1 mm to centimeters?

Question

please provide a detailed explanation of each conversion

Answer 1

Use dimensional analysis.  If you aren't familiar with dimensional analysis, it is where you allow units to cancel and end up with the desired units.

8.49 kg x 10³ g/kg x 10³ mg/g x 10³ ug/mg = 6.49x10⁹ ug

 

318 usec x 1 msec/1000 usec = 0.318 msec

 

93 km x 10³ m/km x 10³ mm/m x10³ um/mm x 10³ nm/um = 93x10¹² nm = 9.3x10¹³ nm

 

37.1 mm x 1 cm/10 mm = 3.71 cm