How do you complete the following metric conversion problem: 3.5 mg = ? #mu#g?

1 Answer
Jan 23, 2017

Answer:

#3.5*mg-=3500*mug#. Why and how?

Explanation:

#1*mg=1xx10^-3*g#

#1*mug=1xx10^-6*g#

#3.5*mg=(3.5xx10^-3*cancelg)/(10^-6*cancelg*mug^-1)#

#=10^6xx3.5xx10^-3*mug=3.5xx10^3xxcancel(10^3)xxcancel(10^-3)mug#

#=3500*mug#.

Just a note on the arithmetic, #1/10^-3-=1/(1/10^3)=1/(1/1000)=1000#. Why? Because there are a #"thousands"# #"one thousandths"# in #"one"#. Confused yet? If you don't see it, then try it on a calculator.

If you can get your head around this, you can get your head around the conversion. Good luck.