how many micrograms are in 2.45 x 10^3 grams? the answer is 2.45 x 10^9 but how do i get it

Question

kl0723 · Answer

you have $$\frac{ 2.45x10^3 grams }{  }*\frac{ 1 microgram }{ 10^-6  grams }= 2.45x10^9 micrograms$$

kl0723 · Answer

got it?

arbyj · Answer

is 10-6 10^6

kl0723 · Answer

yes... sorry and then it goes to the top to become positive and multply with 10^3*10^6=10^9... so it makes 2.45x10^9

arbyj · Answer

how'd you get 10^6?

kl0723 · Answer

you start with grams... so the trick is to multiply with grams on the bottom and the unit u want on top

kl0723 · Answer

so you have 10^-6 grams on the bottom... the grams cancel with the other grams and you are left with micrograms... take 10^-6 to the top and it becomes positive: 10^6 ;)

arbyj · Answer

sorry, i meant to say how'd you get10^-6 lol

arbyj · Answer

@kl0723

kl0723 · Answer

because the prefix micro has a value of 10^-6 base units

arbyj · Answer

@kl0723 that makes so much sense thank you